ARITHMETIC CHAPTER2Warm Up Test1. Determine which letters best match the value. Not all letters will be used.(a) 2829 (b) 2365 (c) 2966 (d) 2264(e) 2227 (f) 2800 (g) 3244 (h) 1488(i) 2713 (j) 2537 (k) 1873 (l) 3158Acme Mathematics 5 51
2. Write the number name: (a) 2,03, 40,706(b) 1,23,45,678(c) 8,06,23,5493. Write the number for the number name:(a) Six lakh two hundred.(b) Five crore sixty lakh two thousand and thirty.(c) Seven crore eighty three thousand forty six.4. (a) Round off 575 to the nearest hundred.(b) Round off 42 to the nearest tens.(c) Round of 1982 to the nearest thousands.5. How many tens make a thousand?6. How many hundreds make one lakh?7. How many thousands make ten lakh?8. How many lakhs make one million?9. Write number name in 'Devnagiri': 123456710. Expand the number: 876230511. Write the number name in your language: 806235712. Write the place-value of the underlined digits:(a) 434173 (b) 26743013. Write the following numerals in a place-value chart and write their number names:(a) 56480 (b) 86531214. Write down each of the following in numerals:(a) Three hundred twenty thousand three hundred and sixteen.(b) Eighty nine thousand two hundred and ninety-nine.(c) Ninety three thousand and seven.52 Acme Mathematics 5
15. Put the Devnagari numbers in the blanks:(a) 1 thousand .................., 1 lakh .................., 10 lakh ...................(b) Match the following10000 the smallest 6-digit number1001 the greatest 3-digit number999 one thousand one100000 the greatest 5-digit number99999 the smallest 5-digit number16. Write the following expanded form in the standard form:(a) 60000 + 4000 + 200 + 70 + 8 = ..........................(b) 400000 + 10000 + 8000 + 600 + 90 + 3 = ..........................17. Round the given numbers to the nearest 100:(a) 95612 (b) 34921 (c) 4563118. lbOPsf] cª\\snfO{ cIf/df n]Vg'xf];\\M(a) !$@#% (b) $&#*! (c) (@@$#19. lbOPsf] cIf/nfO{ cª\\sdf n]Vg'xf];\\M(a) rf}la; nfv krf;L xhf/ 5 ;o .(b) k}tfln; nfv rf}jGg xhf/ ltg ;o kGw| .20. Put the sign > or < :(a) 32675 .............. 18732(b) 85623 .............. 93476(c) 95720 .............. 75670(d) 57935 ............. 7254Acme Mathematics 5 53
Look for these hidden numbers in the puzzle and circle them either horizontally or vertically.251425 91530 123704 77877 476651 557841081559 344074 2224796 7039800 693879 57403652 8 2 8 1 5 5 9 1 5 2 2 6 2 1 5 9 2 3 77 1 0 0 8 8 7 7 7 4 4 8 2 6 6 2 0 0 1 05 3 1 1 4 2 5 3 3 8 9 0 8 8 9 6 5 6 2 29 6 9 0 1 5 2 1 9 1 5 3 0 9 6 1 0 0 3 42 6 1 0 5 9 8 9 7 3 4 3 8 6 4 7 2 3 7 27 1 9 3 2 2 8 0 3 0 7 6 0 3 5 3 5 8 0 47 2 5 4 5 7 4 7 6 6 5 1 0 2 2 4 2 9 4 98 7 6 0 9 8 8 0 6 1 9 1 6 1 8 6 0 5 5 07 1 9 7 6 2 5 2 3 5 3 5 5 2 8 9 9 4 4 37 2 2 6 3 6 0 3 8 1 1 4 5 5 5 3 1 3 0 35 1 1 4 9 5 5 7 8 4 1 0 1 1 0 2 1 3 4 12 1 6 5 6 1 8 7 3 7 9 0 7 4 0 1 2 5 6 92 9 9 2 9 0 2 1 4 3 6 6 3 2 0 9 2 7 5 53 4 4 0 7 4 1 9 8 6 7 0 4 5 1 3 5 3 4 95 0 4 8 1 4 7 2 3 2 6 3 6 0 3 2 5 8 8 43 1 2 8 7 2 3 4 5 3 2 2 2 4 7 9 6 5 4 76 0 7 0 8 7 3 5 8 3 6 4 5 1 1 5 4 8 1 37 0 3 9 8 0 0 9 2 2 3 8 6 5 6 0 4 6 3 63 4 2 5 8 0 7 3 4 2 4 8 9 6 4 9 9 3 7 83 6 9 3 8 7 9 8 0 4 3 2 7 5 7 4 0 3 6 5Activity54 Acme Mathematics 5
We use two number systems. They are:(a) National number system(b) International number systemIn both system, we use the following numerals .(a) Hindu-Arabic NumeralsIn Hindu–Arabic number system ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are used. By using these digits many numbers can be made. For example,One-digit numbers : 1, 4, 9, etc.Two-digit numbers : 10, 76, 99 etc.Three-digit numbers : 100, 123, 999 etc.Four-digit numbers : 1000, 2315, 9897 etc.Five-digit numbers : 10000, 12035, 98692 etc.Six-digit numbers : 100000, 412035, 798629 etc.Seven-digit numbers : 1000000, 5412035, 9878643 etc.This number system was developed in 100 A.D. by the Hindus. This method of written numbers was made popular to the western world by Arabians. That is why the system is called the Hindu-Arabic number system.(b) Devnagari NumeralsIn Devnagari number system ten digits ), !, @, #, $, %, ^ , &, * and ( are used. By using these digits many numbers can be made.1.1 8-digit Numbers(a) Writing 8 digits numbers in the place value chart1. The largest 7 – digit number is 9999999.2. The first and smallest 8 – digit number is formed by adding 1 to 9999999,i.e. 9999999 + 1 = 10000000.1 Number SystemAcme Mathematics 5 55
3. 10000000 is read as One Crore4. 10000000 is written as shown below:Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Tens Ones1 0 0 0 0 0 0 05. The largest 8-digit number is 99999999.(b) Number and number name(a) 92065231 Nine crore twenty lakh sixty five thousand two hundred and thirty one(b) 22572993 Two crore twenty five lakh seventy two thousand nine hundred andninety three(c) Place valueStudy the following place value charts.Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Tens Ones1 0 0 0 0 0 0 01 crore = 1 × 10000000 = 10000000Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Tens Ones3 2 7 4 0 8 1 93 crore 27 lakh 40 thousand 8 hundred nineteen= 3 × 10000000 + 27 × 100000 + 40 × 1000 + 8 × 100 + 1 × 10 + 9 × 1= 30000000 + 2700000 + 40000 + 800 + 10 + 9 = 32740819Hence, three crore twenty seven lakh forty thousand eight hundred and nineteen.Look at the following place value chart:CroreLakh Thousand OnesTen Lakh Lakh Ten Thousand Thousand Hundred Tens Ones10000000 1000000 100000 10000 1000 100 10 13 2 7 4 0 8 1 956 Acme Mathematics 5
Here, the number is 32740819 where, place value of number are:3 2 7 4 0 8 1 9C TL L T-TH TH H T O9 9 ones = 91 1 tens = 108 8 hundred = 8000 0 thousand = 04 4 ten thousand = 40,0007 7 lakh = 7,00,0002 2 ten lakh = 20,00,0003 3 crore = 3,00,00,000Place Value1.2 9-digit Numbers(a) Writing 9 digits numbers in the place value chart1. The largest 8 – digit number is 99999999.2. The first and smallest 9 – digit number is formed by adding 1 to 99999999,i.e. 99999999 + 1 = 100000000.3. 100000000 is read as ten crore.4. 100000000 is written as shown below:Ten Crore Crore Ten Lakh Lakh TenThousand Thousand Hundred Tens Ones1 0 0 0 0 0 0 0 05. The largest 9-digit number is 999999999.(b) Number and number name(a) 142065231 Fourteen crore twenty lakh sixty five thousand two hundred and thirtyone.(b) 502572993 Fifty crore twenty five lakh seventy two thousand nine hundred andninety three.Acme Mathematics 5 57
(c) Place valueStudy the following place value charts.Ten Crore Crore Ten Lakh Lakh TenThousand Thousand Hundred Tens Ones1 0 0 0 0 0 0 0 010 crore = 10 × 10000000 = 100000000Ten Crore Crore Ten Lakh Lakh TenThousand Thousand Hundred Tens Ones4 3 5 2 1 4 2 5 843 crore 52 lakh 14 thousand 2 hundred fifty eight = 43 × 10000000 + 52 × 100000 + 14 × 1000 + 2 × 100 + 5 × 10 + 8 × 1= 430000000 + 5200000 + 14000 + 200 + 50 + 8 = 435214258Hence, Forty three crore fifty two lakh fourteen thousand two hundred fifty eight.Look at the following place value chart:Crore Lakh Thousand OnesTen Crore Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Tens Ones100000000 10000000 1000000 100000 10000 1000 100 10 14 3 5 2 1 4 2 5 8Here, the number is 435214258 where, place value of number are:4 3 5 2 1 4 2 5 8TC C TL L T-TH TH H T O8 8 ones = 85 5 tens = 502 2 hundred = 2004 4 thousand = 4,0001 1 ten thousand = 10,0002 2 lakh = 2,00,0005 5 ten lakh = 50,00,0003 3 crore = 3,00,00,0004 4 ten crore = 40,00,00,000Place Value58 Acme Mathematics 5
1. Colour the circle according to given number code.Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Ten One24143204813112121325402361003013920230217215030235241203ClassworkAcme Mathematics 5 59
2. Write the number name:135647513687471487756351897801218917706267540208435260003347580164423937155825789946Exercise 2.11. Write the number for the following number names:(a) One crore five lakh fifty four thousand two hundred and fifty one.(b) Five crore two lakh sixty three thousand five hundred and sixty five.(c) Seven crore twenty nine lakh fifty two thousand six hundred and three.(d) Fifty crore seventy three lakh eighty one thousand five hundred and nineteen.(e) Eighty three crore forty three thousand nine hundred and twelve.2. Count on the number line:(a)10000 10001(b)21510 21520(c)43450 4350060 Acme Mathematics 5
(d)98300 98600(e)14000 16000(f)20000 500003. Fill the number in the place value chart and write the number name:(a) 3223564 (b) 19876055 (c) 341670785 (d) 47540324(e) 951244569 (f) 895231463 (g) 786540782 (h) 6784567014. Write the place value of the encircled digits:(a) 1 2 5 6 9 6 7 8 5 is in lakh place.(b) 3 1 6 5 0 8 5 0(c) 4 3 8 2 4 5 8 1 9(d) 6 6 4 2 7 8 0 7 2(e) 8 7 2 8 9 7 4 4 3(f) 7 5 9 1 3 0 6 9 45. Write the value of the encircled digits:(a) 5 6 3 5 4 6 7 9(c) 4 8 5 7 5 3 6 7 (e) 5 2 4 7 6 0 5 1(g) 6 2 3 0 5 7 6 3 1(i) 2 5 7 6 3 3 6 8 3(b) 8 5 2 4 1 6 7 9(d) 2 3 2 8 7 5 7 1(f) 4 3 5 2 9 1 5 0 0(h) 1 8 4 8 7 6 9 3 2(j) 4 1 9 3 1 5 7 9 46. Complete the following as shown in the example:2 ten lakh and 5 ten thousand 6 ten thousand 7 ten thousand..................... ................................................................................................................... ..............................................................................................4 one crore and 3 ten lakh ..................... ..............................................................................................2050000 Twenty lakh fifty thousand.6 ten thousand and 7 thousandAcme Mathematics 5 61
6 crore 4 ten lakh and 5 ten thousand ..................... ..............................................................................................9 crore 5 ten thousands and 4 thousand ..................... ..............................................................................................7. Complete the following as shown in the example:800000 + 10000 ..................... .............................................................................................1700000 + 20000 ..................... ..............................................................................................10000000 + 400000 ..................... ..............................................................................................90000000 + 600000 ..................... ..............................................................................................40000000 + 500000 ..................... ..............................................................................................810000 Eight lakh ten thousand.1.3 National Number SystemEach of the ten symbols : 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0 are called digits. 34 is a twodigits number and 123 is a three-digits number.When a number consists of more than one digits, each digit carries a value according to its place.Place Value Chart in National Number systemTable shown below is the place-value chart for the first eight places (up to crore) in our national system. Study the chart carefully.Crore Lakhs Thousands UnitsOne croreTenlakhOne lakhTen thousandOnethousand Hundred Tens Ones2 3 4 5 6 7 8 962 Acme Mathematics 5
The place value chart also shows the different periods in our national number system. They are :1. Units period 2. Thousand period3. Lakh period 4. Crore periodThe digits in the same period read together.For exampleSNCrore Lakhs Thousands UnitscroreTenlakhs lakh Ten thousand thousand Hundred Tens Ones(a) 2 3 4 5 6 7 8 9(b) 3 0 7 5 9 1 2 0(c) 7 8 4 0 6 3 2 2In the first row,The digits in the crore period is 2. The digits in lakhs period are 3 and 4. The digits in the thousands period are 5 and 6. The digits in the Units period are 7, 8 and 9.The first number (a) is read as : Two crore thirty-four lakh fifty- six thousand seven hundred and eighty nine.Similarly, the second number (b) is read as : Three crore seven lakh fifty – nine thousand one hundred and twenty.The third number (c) is read as : Seven crore eighty- four lakh six thousand three hundred and twenty two.Place value and face valueLet a number including the 8-digits is 86751023Now, we can show it in the place value chart as follows.Crore Ten lakh Lakh Ten thousand Thousand Hundred Tens Ones8 6 7 5 1 0 2 3In the above place value chat (or table) the digits 8 has two meaning.The first : Its face value is 8 only.The second : its place is \"crore\".So, its value is 8 × 1,00,00,000 = 8,00,00,000 (Eight crore).Similarly,Acme Mathematics 5 63
The place of 6 is ten lakh so its value is 6 × 10,00,000 = 60,00,000The place of 7 is lakh so its value is 7 × 1,00,000 = 7,00,000The place of 5 is ten thousand so its value is 5 × 10,000 = 50,000The place of 1 is thousand so its value is 1 × 1,000 = 1,000The place of 0 is hundred so its value is 0 × 100 = 0The place of 2 is tens so its value is 2 × 10 = 20The place of 3 is ones so its value is 3 × 1 = 3Place value chart in national number system (9-digit numbers)The table shows the place value chart of 9 digits numbers.Crores Lakhs Thousands UnitsTen croreCrore Ten lakh Lakh Ten thousand Thousand Hundred Tens Ones1 2 3 4 5 6 7 8 9The number is 12, 34, 56, 789 and read as:Twelve crore thirty- four lakh fifty-six thousand seven hundred and eighty nine. Use of commaIn the above numbers commas are used to make easy to understand and read the numbers. Comma separates the periods in the number system. So we write the numbers by separating the group of numerals by comma. The first comma is put before the last three digits counting from right to left. Then every two numerals are separated by commas in our national number system.Solved ExampleExample 1 : Put comma (,) in appropriate places and write in words : 987654321Solution : 98,76,54,321It is read as : 98 crore 76 lakh 54 thousand 3 hundred 2 tens and 1Written as : Ninety eight crore seventy six lakh fifty four thousand three hundred and twenty one.64 Acme Mathematics 5
Classwork1. Write the place-value of the underline digits.(a) 843217543 (b) 64543093 (c) 283403769 (d) 2902185612. Write the following numerals in a place-value chart and write their number names.(a) 56432789 (b) 653193867 (c) 416537890(d) 874652966 (e) 537839102 (f) 874621593Exercise 2.21. Put comma (,) in appropriate places, then write each of them in words. (a) 52344543 (b) 476454387 (c) 573403769(d) 520218515 (e) 783094321 (f) 8743218202. Write down each of the followings in number using commas.(a) Five crore fifty six lakh nineteen thousand three hundred and sixteen.(b) Seventy six crore thirty five thousand three hundred and ninety-nine.(c) Fifty-sixty crore sixty-five lakh and forty six thousand.(d) Ninety-seven crore forty-six lakh eighty-five thousand and sixty-six(e) Sixty-five crore five lakh and seven thousand .(f) Twelve crore eleven lakh ten thousand nine hundred and eighty-seven.3. Express each of the following quantities in the units mentioned and write down your answers in (i) number using commas and (ii) words.(a) Rs 563454 in paisa (b) Rs 5700000 in paisa(c) 576678 liters in millilitres (d) Rs 126887 km in cm(e) 2866517 meters in cm (f) 43298 kg in gram(g) 15489 days in minutes (h) 575623 liters in millilitreAcme Mathematics 5 65
1.4 International Number SystemIn the international number system also each of the ten symbols : 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0 are used. In this system the periods are denoted by units, thousands, millions and billions, etc.Place Value chart in International number systemTable shown below is the place-value chart for the first nine places (up to millions) international system. Study the chart carefully.Millions Thousands UnitsHundred Millions Ten Millions One Million Hundred thousands Ten thousands One thousand Hundreds Tens Ones3 2 4 8 5 6 7 8 9The place-value chart also shows the different periods in the international number system. They are :1. Units period 2. Thousands period 3. Millions periodIn this system also digits in the same period are read together.For exampleMillions Thousands UnitsHundred Millions Ten Millions One Million Hundred thousands Ten thousands One thousand Hundreds Tens Ones3 2 4 8 5 6 7 8 9In the place value chart,The digits in the millions period are 3, 2 and 4.The digits in the thousands period are 8, 5 and 6.The digits in the units period are 7, 8 and 9.Thus the number is read as :Three hundred twenty four millions eight hundred fifty six thousand seven hundred and eighty nine.66 Acme Mathematics 5
Place value and face valueFor example: Let the number be 324856789Millions Thousands UnitsHundred Millions Ten Millions One Million Hundred thousands Ten thousands One thousand Hundreds Tens Ones3 2 4 8 5 6 7 8 9In the place value chart, the face value and place value of the digits are given. Study the chart clearly.Number Face value Place Place value3 3 Hundred million 3 × 100000000 = 3000000002 2 Ten million 2 × 10000000 = 200000004 4 One million 4 × 1000000 = 40000008 8 Hundred thousand 8 × 100000 = 8000005 5 Ten thousand 5 × 10000 = 500006 6 One thousand 6 × 1000 = 60007 7 Hundred 7 × 100 = 7008 8 Tens 8 × 10 = 80 9 9 Ones 9 × 1 = 9Place value chart in international number system more than million The table shows the place value chart of numbers more than millions.Billions Millions Thousands UnitsHundred Billions Ten Billion One Billion Hundred Millions Ten Millions One Million Hundred thousand Ten thousand One thousand Hundred Tens Ones1 0 2 3 2 4 8 5 6 7 8 9The number is 102,324,856,789 and read as:One hundred two billion three hundred twenty four million eight hundred fifty six thousand seven hundred and eighty nine.Acme Mathematics 5 67
Use of comma We use comma to separate the periods in the number system. In the above number 'commas' are used to make it easy to understand and read the numbers. In this system first comma is put before the last three numerals counting from right to left, then every three numerals are separated by commas.ClassworkWrite the highlighted number's place value and face value (International system).Numbers Place Value Face Value45678890 forty million 47817698313556121147899871321112098890012035905987379Exercise 2.31. Write the place-value of the underlined digits in the international number system:(a) 44351743 (b) 645430987 (c) 58340376968 Acme Mathematics 5
(d) 590518561 (e) 949416538 (f) 715904385(g) 349051856 (h) 949416538 (i) 1295029842. Write the following numerals in a place-value chart and write their number name in the international number system:(a) 554357892 (b) 653193867 (c) 416537690(d) 265128495 (e) 592847560 (f) 746515931(g) 259687459 (h) 698748521 (i) 49285018363. Put comma (,) in appropriate places. Then write each of them in words in the international system:(a) 63782564 (b) 983475623 (c) 689574632(d) 45879332 (e) 589326479 (f) 489657861(g) 259687459 (h) 569874852 (i) 65987459634. Write down each of the following number name into number using commas in the international number system:(a) Five million one hundred twenty thousand three hundred and sixteen.(b) Seventy six million three hundred thirty five thousand, two hundred andninety-nine.(c) Five hundred eighty six million fifty-six thousand.(d) One hundred ninety-seven million seven hundred forty-six thousand and sixty-six.(e) Nine hundred sixty-eight million sixty-five thousand four hundred andseven.(f) Eight billion six hundred thirteen million nine hundred thirty fivethousand nine hundred and eighty-seven.5. Express each of the following numbers in the usual form and write the number name in international number system:(a) 5653 × 104 (b) 576 × 105 (c) 576 × 106 (d) 51 × 107 (e) 28665 × 104 (f) 67098 × 104Acme Mathematics 5 69
1.5 Comparison of Place Value of National and International Number SystemThe chart given below gives the comparison between the National and International Number System. Study the chart carefully.National Number SystemTen Crore Crore Ten Lakh Lakh Ten thousands Thousand Hundreds Tens OnesInternational Number SystemHundred Millions Ten Millions Million Hundred thousands Ten thousands thousand Hundred Tens OnesWrite the number 831047529 in a place-value chart and write their number name in the national and international number system. Ten Crore Crore Ten Lakh Lakh Ten thousands Thousands Hundreds Tens Ones Hundred Millions Ten Millions Million Hundred thousands Ten thousands thousand Hundreds Tens Ones8 3 1 0 4 7 5 2 9The number using comma in the National number system is 83,10,47,529 and its is read as,Eighty three crore ten lakh forty seven thousand five hundred and twenty nine.The number using comma in the International number system is 831,047,529 and it is read as, Eight hundred thirty one million forty seven thousand five hundred and twenty nine.70 Acme Mathematics 5
1.6 Smallest and the Largest Numbers of Different DigitsStudy the following chart carefully:Number The Smallest Number The Largest Number1-digit number 1 92-digit number 10 993-digit number 100 9994-digit number 1000 99995-digit number 10000 999996-digit number 100000 9999997-digit number 1000000 99999998-digit number 10000000 999999999-digit number 100000000 99999999910-digit number 1000000000 9999999999Smallest and Largest Numbers:Consider the digits 1, 3, 6, 5, 7, 8, 9, 4, 2Smallest Number from these digits: 12,34,56,789 Largest Number from these digits: 98,76,54,3211.7 Expanded Form of the NumbersWe know how to write a number in expanded form. Here, is an example.462951837 = 400000000 + 60000000 + 2000000 + 900000 + 50000 + 1000 + 800 + 30 + 71.8 Standard Form of the NumbersIf a number is given in an expanded form, it can be put in the standard form. Consider the following expanded forms of a number:(a) 400000 + 70000 + 3000 + 800 + 20 + 1(b) 4 × 100000 + 7 × 10000 + 3 × 1000 + 8 × 100 + 2 × 10 + 1 × 1(c) 4 lakh + 7 ten thousand + 3 thousand + 8 hundred + 2 tens + 1 onesThe standard form of above expanded form is 4,73,821.Acme Mathematics 5 71
1.9 Rounding the Numbers(a) Rounding to the nearest tenConsider the number 56.Look at the number line carefully.50 56 606 unit 4 unit67Here, the number, 56 is near to 60 than 50. To round a number to the nearest ten, we round it to the multiple of ten nearest to it. So, 56 is rounded to 60. Similarly, 83 is 80.(b) Rounding to the nearest hundredConsider the number 56720.Look at the number line carefully.20 unit56700 56720 5680080 unitHere, the number, 56,720 is near to 56,700 than 56800 so its nearest hundred is 56,700.This process is called the rounding off of the numbers. In this example 56,720 is round down to 56,700. To round a number to the nearest hundred, we round it to the multiple of hundred nearest to it.Examples: 86798 is rounded to 86800 and 89650 is 89700.(c) Rounding to the nearest thousandConsider the number 56700.Look at the number line carefully.560007 units 3 unit56700 57000Here, the number, 56,700 is near to 57,000 than 56,000. 54,321 is near to 54,000 than 55,000.72 Acme Mathematics 5
To round a number to the nearest thousand. We round it to the multiple of thousand nearest to it.Examples: 86,798 is rounded to 87,000 and 87,500 is 88,000.Number, which is midway is always rounded up.Examples: 25 is rounded to 30. 450 is rouned to 500. 67500 is rounded to 68000 etc.Similarly, we can round off the large numbers.1.10 Devanagari Numbers), !, @, #, $, %, ^, &, *, and ( are Devanagari numbers. The national system is also called Devanagari number system. Study the given example.bz s/f]8 s/f]8 bz nfv nfv bz xhf/ xhf/ ;o bz Ps# * ( ) & ( ^ ! @ The periods are same as National number system. The number #*,(),&(,^!@ reads as, c7\\tL; s/f]8 gAa] nfv pgfGc;L xhf/ 5 ;o afx| .Classwork1. Fill in the blanks:National number system International number system(a) 1 Lakh ............................................(b) 10 Lakh ............................................(c) 1 crore ............................................(d) 10 crore ............................................(e) 1 arab ............................................(f) 10 arab ............................................2. Write the place value of the circled digit in the table.Numbers Place valueNational system International system4 5 3 8 7 6 5 4 ................................ .................................3 7 3 8 5 7 9 ................................. .................................Acme Mathematics 5 73
3 5 9 8 7 4 6 ................................. .................................7 3 9 0 4 7 1 9 2 ................................. .................................4 7 3 1 9 4 7 2 6 ................................. .................................3. Match of the following:10000 the smallest 6-digit number1234567 the largest 9-digit number88888888 8-digit number999999999 the largest 5-digit number101 the largest 2-digit number99 one more than the smallest 3-digit number100000 7-digit number99999 the smallest 5-digit numberExercise 2.41. Write the highlighted number's place value and face value (International system)Numbers Place Value Face Value321,0982,190,10163,560,894 sixty million 659,065,8765,320,0098,781,87174 Acme Mathematics 5
2. The table shows the place value chart of numbers in international number system. Convert it to the place value chart of national number system.Millions Thousands (TH) UnitsTen MillionsOne MillionHundredTHTen THOne TH Hundreds Tens Ones(a) 4 8 9 6 1 8 2(b) 4 2 7 5 3 9 0 0(c) 9 0 2 6 7 4 8 9(d) 7 9 6 2 1 3 0 03. Use the following digits to write the smallest and largest number you can form:(a) 1, 9, 3, 2, 6, 7, 8 (b) 4, 2, 6, 3, 7, 8, 5 (c) 9, 5, 3, 7, 2, 6, 8, 1 (d) 9, 4, 2, 6, 3, 7, 8, 5, 14. Write the following numbers in the expanded form:(a) 36737825 (b) 83 475623 (c) 8957463(d) 687933215 (e) 932647981 (f) 489657851(g) 4016874 (h) 125608740 (i) 650874505. Write the following expanded form in the standard form:(a) 20000000 + 8000000 + 600000 + 40000 + 2000 + 700 + 60 + 9(b) 700000000 + 50000000 + 3000000 + 400000 + 10000 + 8000 + 600(c) 600000000 + 7000000 + 900000 + 3000 + 400 + 70(d) 100000000 + 2000000 + 100000 + 70000 + 1000 + 200 + 6(e) 300000000 + 6000 + 200 + 90 + 26. Round to the accuracy of the coloured digit.(a) 56,914 = ______________________________________________(b) 63,678 = ______________________________________________(c) 15,003 = ______________________________________________(d) 33,446 = ______________________________________________(e) 95,150 = ______________________________________________(f) 3,655 = ______________________________________________(g) 59,988 = ______________________________________________(h) 20,151 = ______________________________________________(i) 75,705 = ______________________________________________rounded to the nearest 1,000 is 7,000Acme Mathematics 5 75
7. Round the given numbers to the nearest 10.(a) 56 (b) 75 (c) 32 (d) 93 (e) 14(f) 51 (g) 68 (h) 74 (i) 458. Round the given numbers to the nearest 100.(a) 537 (b) 594 (c) 521 (d) 9332 (e) 1214(f) 2126 (g) 7450 (h) 6174 (i) 91359. Round the given numbers to the nearest 1,000.(a) 84562 (b) 52392 (c) 79450 (d) 92521 (e) 47981(f) 57851 (g) 21637 (h) 89740 (i) 8745010. sdfsf] k|of]u u/L cIf/df n]Vg'xf];\\ M(a) !@&%$# (b) *^%$#^) (c) &*%#@!)((d) %^#@*)(&^ (e) *^@!)#$^& (f) ()*^$@))&(g) %#@!!@&%$ (b) #@!*&%$#^ (c) *%#@!)($#11. sdfsf] k|of]u u/L cª\\sdf n]Vg'xf];\\ M(a) c7\\tL; s/f]8 gAa] nfv pgfGc;L xhf/ 5 ;o .(b) Ps s/f]8 c7f;L nfv pgGtL; xhf/ rf/ ;o afx| .(c) c7\fnL; s/f]8 afpGg nfv b'O xhf/ tLg ;o gf}F .(d) tL; s/f]8 PsfgAa] nfv pgfGrfnL; xhf/ kfFr ;o ;q .(e) gf} s/f]8 gf} nfv gf} xhf/ gf} ;o gf} .12. Write down the following:(a) Largest 5-digit number (b) Smallest 7-digit number(c) Largest 9-digit number (d) Smallest 8-digit number(e) Largest 6-digit number (f) Smallest 2-digit number(g) Largest 3-digit number (h) Smallest 1-digit number13. Find out the following:(a) 1 added to largest 6-digit number(b) 1 subtracted from smallest 7-digit number(c) 1 subtracted from smallest 8-digit number(d) 1 added to largest 9-digit number76 Acme Mathematics 5
Special NumberThe special number is The value of the digit 2 is __________ .The value of the digit 1 is __________ .The value of the digit 8 is __________ .The value of the digit 0 is __________ .The value of the digit 7 is __________ .1,000 less than 70,812 is ______________.10,000 more than 70,812 is ____________.100 less than 70,812 is ________________.1 more than 70,812 is _________________.10,000 less than 70,812 is _____________.Compare. (use sign <, >, or =)71,810 70,81271,812 70,81270,812 70,21869,802 70,812Fill in the empty boxes on the number line.Write the number in expanded form.___________ + _________ + _________ + ________ + ______70,812even odd70,812 70,815(e) 1 added to the smallest 5-digit number(f) 1 subtracted from the smallest 4-digit number14. Put the sign > or <(a) 36737825 ........ 8739242 (b) 83475623 ........ 83476523(c) 895746320 ........ 895678250 (d) 687933215 ........ 829615413(e) 493264798 ........ 401687450 (f) 489657851 ........ 650874506Project WorkAcme Mathematics 5 77
1.11Prime and Composite NumbersStudy the group of numbers carefully.2 = 1 × 23 = 1 × 35 = 1 × 57 = 1 × 7Only 2 factors. More than 2 factors.4 = 1 × 2 × 26 = 1 × 2 × 38 = 1 × 2 × 2 × 22, 3, 5, 7 are prime numbers.4, 6, 8 are composite numbers.How to find prime and composite numbers?This is a number table:111213132351525717279192921222414246162681828102030➢ 1 is neither prime nor a composite number.➢ The number inside the circle O are divisible by 2 or 5. Hence they are composite numbers.➢ The number inside the are divisible by 3 or 5. Hence they are composite numbers.➢ 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are not divisible by any other numbers. So, they are prime numbers.78 Acme Mathematics 5
Classwork1. Circle the composite numbers from the given numbers.1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 202. Cross the prime numbers from the given numbers.5 6 7 8 9 10 11 12 13 1415 16 17 18 19 20 21 22 23 24Exercise 2.51. List the prime and composite numbers from the given numbers:515562574739295918 24 11 6 250492. Write the number from 51 to 80 and colour the prime numbers by red and composite numbers by green:51 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 80Acme Mathematics 5 79
1. Objective: To know the prime and composite number. Write 1 – 100 in the square rooms. Now do the following activities:(a) Cross the number 1.(b) Cross the numbers divisible by 2, except 2.(c) Cross the numbers divisible by 3, except 3.(d) Cross the numbers divisible by 5, except 5.(e) Cross the number divisible by 7, except 7.Answers the following questions: (i) Enlist the numbers which are crossed.(ii) Enlist the numbers which are not crossed.(iii) How many prime numbers are there between 1 and 20 ?(iv) How many prime numbers are there between 50 and 100 ?(v) How many composite numbers are there between 80 and 100 ?Project Work80 Acme Mathematics 5
EvaluationTime: 58 minutes Full Marks: 241. (a) Put the commas according to the national number system for the numbers 493264798. [1] (b) Write the place value of 5 in the number 24536780. [2] (c) Write the given number in national place value chart and wtite their number name: 24536780 [2](d) Find the sum of place value of 5 and 7 in the number 24536780. [2]2. (a) Write the Expanded form of 4356085. [2] (b) Write the standard form of 400000 + 2000 + 60 + 5 [2](c) Write the number of ''Twenty-five lakhs thirty-two thousand six hundred and fifty'' [1]3. (a) How many lakhs are there in 1 million? [1] (b) Round off the 240 to nearest to hundred. [1](c) Write the largest and smallest number from the digits:5,2,6,0,3,8. [2]4. (a) Which is the even prime number? [1](b) Identify whether 36 is prime or composite number. [2](c) What is the greatest number of 5 digits? [1]5. Ram collected the following given digits. (a) Make the smallest number from the given digits. [1](b) Write the largest number from the given digits. [1] (c) Write down the predecessor and successor number of the 400. [2] (d) Write the first five multiples of 4. [1]0, 15, 92Acme Mathematics 5 81
Warm Up Test1. Complete the addition table:+ 5 10 15 20 25 30 35102030402. Fill in the blanks:(a) The sum of 10 and 50 is ..........................(b) The difference of 40 and 28 is ..........................(c) The Product of 20 and 10 is..........................(d) The quotient of 100 ÷ 5 is ..........................3. If A = 10, B = 30 and C = 15 find the following:(a) A + B (b) B – C (c) B + A(d) A + C (e) C –A (f) A + B – C4. Add the following:(a) (b) (c) (d)5. Subtract the following:(a) (b) (c) (d)6. Multiply.(a) (b) (c) (d) 1 2 3 4 5 6+ 1 7 9 2 4 3 1 0 0+ 7 0 8 1 2 3 4+ 5 6 7 8 5 6 0 3+ 4 2 0 9 6 7 8– 2 1 3 8 6 7– 4 0 9 8 7 6 3– 4 2 9 9 6 6 6 6– 4 8 7 9 6 2 3 × 4 2 4 5 × 2 3 6 7 × 1 2 1 2 3 × 4 22 Basic Operations82 Acme Mathematics 5
7. Divide:(a) 100 ÷ 5 (b) 120 ÷ 12 (c) 244 ÷ 10 (d) 789 ÷ 88. Try to complete the following:30 – 102010 + 104 × 5100 ÷ 59. Add(a) 92394 and 63126 (b) 1234,567 and 29(c) 9876,2300 and 180910. Subtract(a) 892 from 1000 (b) 992 from 1234(c) 284789 from 37256811. Multiply :(a) (b)12. Divide :(a) 929 by 12 (b) 700 by 15 (c) 540 by 1813. Simplify :(a) 5 + 2 – 3 (b) 65 – 25 + 17 (c) 15 × 3 + 5(d) (18 + 22) – 20 (e) 60 + (18 – 12)14. Make the mathematical sentences.(a) 4 times the sum of 3 and 7.(b) 6 is added to the difference of 12 and 2.(c) 100 is divided to the difference of 12 and 2.3728× 2512345× 65Acme Mathematics 5 83
2.1 Addition and Subtraction of Large NumbersWe have already learnt how to add and subtract the numbers in previous class. Addition and subtraction of large numbers is done in the same way. Look at the examples.Solved ExampleExample 1 : Add :Solution :KEY TO MATH SIGNS What is the total? How many altogether? How many in all? What is the sum? How many fewer? How much change? How many are left? What is the difference?AdditionSubtractionExample 2 : Subtract :Solution :987632173– 540486321987632173– 540486321447145852632176329734+ 76321700632176329734+ 763217008271465184 Acme Mathematics 5
Classwork1. Add the following:(a) 1 2 3 4 5+ 9 6 4 8 8 (b) 2 9 3 2 1+ 8 2 7 8 9 (c) 9 8 7 6 5+ 3 6 4 5 4 (d) 1 2 3 5 6+ 9 8 7 4 3 (e) 8 3 5 6 7+ 4 7 6 5 4 (f) 9 8 0 0 3+ 6 8 9 9 9 (g) 1 3 5 7 92 3 4 5 6+ 1 2 3 (h) 6 3 9 8 51 0 5 2 3+ 4 5 0 0 (i) 7 0 6 0 53 2 5 6 8+ 2 3 4 5 2 Exercise 2.61. Add the following numbers:(a) (b) (c)(d) (e) (f)2. Subtract the following numbers:(a) (b) (c)(d) (e) (f)98763217835290143+ 109745282738295132987456292697489512+ 489632578187954659874632187965423+ 4926584979647289063780283925937+ 2950389254879621598741269546982+ 9874632597487954659874632187965423+ 9265849789728563– 4892646797489512– 96325781871879654– 17892658469264728– 23529503987667546– 198700463928574879– 258187965Acme Mathematics 5 85
3. Solve the following word problems:(a) Krishna bought two pieces of land one for Rs. 9,80,51,789 and the other for Rs. 7,00,56,700. How much did he spend altogether ?(b) In an election there were three candidates Raju, Ramesh and Ranjan. They decided to buy a car for the election. Raju bought a car for Rs. 22,67,000, Ramesh bought a car for Rs. 16,00,000 and Ranjan bought a car for Rs. 20,22,000. What is the total expenditure on the cars ?(c) A sugar factory earned Rs. 33,11,44,000 in a year. If the expenditure were Rs. 19,33,78,000, how much rupees was saved ?(d) The sum of two number is 65,23,12,000. One of them is 9,12,09,123. Find the other number.(e) Study the rectangular garden given alongside:(i) How long is the garden ?(ii) Calculate the perimeter of the garden.(d) A bookshop has 963307 books in stock. 27308 of them are text books. How many are not text books?100 m75 m86 Acme Mathematics 5
2.2 Multiplication and Division of Large NumbersWe have already learnt how to add and subtract the large numbers. Now, we study the multiplication and division of the large numbers. It is similar to the multiplication and division of the small numbers. Look at the examples carefully.Solved ExampleExample 1 : Multiply : 127632 by 2345Solution :KEY TO MATH SIGNS How many altogether? Find multiples of ..... What is the product? The quotient is ... What is the quotient? Divide into ........ parts. How many per .... What are the factors?MultiplicationDivisionExercise 2.71. Multiply the followings:(a) (b) (c)Example 2 : Divide 679876 by 123Solution : 123)679876(5527– 615648– 615337– 246916– 86155QuotientRemainder127632× 2345638160510528038289600+ 25526400029929704076327× 282429513× 481965423× 397Acme Mathematics 5 87
(d) (e) (f)2. Divide the following numbers:(a) 5,68,935 by 59 (b) 9,65,373 by 98(c) 9,54,231 by 123 (d) 47,28,490 by 240(e) 80,76,675 by 500 (f) 2,85,74,879 by 6003. Solve the following word problems:(a) The cost of a house is Rs. 80,51,789. What is the cost of 45 such houses ?(b) The air ticket of the Buddha air from Bharatpur to Kathmandu is Rs. 4500. In a flight 40 passengers travelled from Bharatpurto Kathmandu. What is the total fare paid by the passengers ? What is the total money collected by the Boudha air in 30 days ?(c) The total money paid to the housing company for 564 same houses is Rs. 397958400. Find the price of each house.(d) The product of two number is 15618288. One of them is 4324. Find the other number.(e) In a city 52,00,000 kg of garbage is produced every month. One garbage truck can carry 8 tonne in a trip. How many such truck will be required to clear the garbage every month ? (Hints : 1 tonne = 1,000 kg)(f) Study the rectangular garden given alongside:(i) How long is the garden in centimeter ?(ii) Calculate its area.98490× 1234426982× 598732857× 7892100 m75 m88 Acme Mathematics 5
1 2 3 4 56 7 8 910 11 12 13 1415 16 17 1819 20 2122 23 2425 26 27 28 2930 31 32 33 3435 36 37 3839 40ACROSS DOWN1. 22 – 93. 159 – 136. 467 + 7508. 2329 + 329410. 25 – 1011. 18833 – 926613. 20 – 715. 15 + 1617. 120 – 2418. 952 – 34419. 99 – 4021. 445 + 88751. 710 + 5432. 46 – 153. 297 + 12694. 235 + 2325. 83 – 216. 15 – 47. 29 + 509. 5457 – 235512. 24 + 3514. 560 – 18016. 381 + 113918. 12346 – 596522. 1496 + 93024. 124 – 4625. 1290 – 39026. 98 – 4428. 11 + 530. 27 + 4031. 9284 – 258933. 44 – 1035. 3292 – 76837. 9 + 161639. 858 – 35640. 1 + 1020. 27 + 6921. 183 – 8622. 338 – 4223. 280 + 379226. 10786 – 514427. 27 + 2229. 12200 – 587931. 687 – 6732. 62 – 1134. 21 + 2436. 61 – 638. 17 + 44Solve the clue (Across and Down) and complete the table.Hint: Solve down first.Activity2.3 Four Basic OperationsAcme Mathematics 5 89
Warm Up Test1. Write the answer in the box after simplification:(a) 4 + 6 – 2 = (b) 8 + 3 – 4 = (c) 10 – 2 + 7 = (d) 15 – 5 + 2 = (e) 18 + 2 – 10 = (f) 20 – 7 + 7 = 2. Simplify and fill in the box:(a) 4 × 2 + 3 = (b) 8 × 5 + 10 = (c) 5 + 6 × 3 = (d) 6 + 10 × 2 = (e) 7 × 4 – 2 = (f) 10 × 1 – 8 = (g) 10 – 2 × 3 = (h) 30 – 6 × 5 = 3. Simplify and write the answer in the box:(a) 8 ÷ 2 + 4 = (b) 16 ÷ 8 – 1 = (c) 20 ÷ 4 × 5 = (d) 30 ÷ 10 × 3 = (e) 2 × 10 ÷ 2 = (f) 10 + 4 ÷ 2 = (g) 15 × 15 ÷ 3 = (h) 12 – 12 ÷ 12 = (i) 18 ÷ 9 – 2 = (j) 25 – 2 ÷ 2 = 4. Make mathematical expressions:(a) Add the product of 2 and 5 with 10.(b) Subtract the product of 8 and 2 from 20.(c) Add 4 and 14 then divide the sum by 2.(d) Subtract 2 from 30 then divide it by 7.(e) Divide 25 by 5 then multiply it by 7.(f) Divide 30 by 3 then add it with 20.(g) Subtract 2 from 20 and multiply the result by 10.90 Acme Mathematics 5
Order of Rule for SimplificationActivityStudy the given problemsThere were 30 students in class 4. They all passed in final examination. In the new session 12 students came from the another school and 5 old students left the school. Now how many students are there in class 5?This problem includes more than one mathematical operation.This word problem translates to mathematical language as: 30 + 12 – 5Its answer is: 30 + 12 – 5= 42 – 5 Adding 30 + 12= 37 Subtracting 42 – 5Now, there are 37 students in class 5.The operation including the signs +, –, × and ÷ in order is simplification. The orderoperation is : Division (D) Multiplication (M) Addition (A) Subtraction (S)What will happen if we do not follow the order?Simplify: 7 × 8 + 2= 56 + 2= 58It is correct.Problems that include more than one mathematical operation is known as simplification.How long is language? But short is mathematical form.I remembered DMAS.Simplify: 7 × 8 + 2= 7 × 10= 70 It is not correct.Why correct? Why not correct?Acme Mathematics 5 91
Solved ExampleExample 1 : Simplify : 16 + 10 × 6 – 12Solution : Here, 16 + 10 × 6 – 12 = 16 + 60 – 12 → Multiplication, First step= 76 – 12 → Addition, Second step= 64 → Subtraction, Third stepExample 2 : Simplify : 30 ÷ 10 × 6 + 14 – 20Solution : Here, 30 ÷ 10 × 6 + 14 – 20= 3 × 6 + 14 – 20 → Division first= 18 + 14 – 20 → Multiplication = 32 – 20 → Addition= 12 → SubtractionExample 3 : What is the difference of the product of 5 and 10 taken from 68?Solution: Now, product of 5 and 10 = 5 × 105 × 10 taken from 68 = 68 – 5 × 10So, 68 – 5 × 10= 68 – 50 Multiplication first= 18 Subtraction secondThe difference is 18.Example 4 : Six is subtracted from the quotient of forty two divided by seven. Find the result.Solution : First, translating the statement we get42 ÷ 7 – 6Now, 42 ÷ 7 – 6= 6 – 6 = 0Classwork1. Fill in the box:(a) 4 + = 10 (b) ÷ 2 = 7(c) × 9 = 45 (d) 16 – 4 = (e) 4 – + 2 = 5 (f) 8 ÷ + 6 = (g) ÷ 2 – = 4 (h) 20 5 × 4 = 1692 Acme Mathematics 5
2. Simplify:(a) 4 + 5 – 2 (b) 10 – 5 + 3(c) 1 – 6 + 12 (d) 10 ÷ 5 + 3(e) 44 ÷ 4 + 7 (f) 1000 ÷ 100 – 3(g) 3 × 6 – 4 (h) 12 × 8 – 50(i) 15 × 7 – 100 (j) 20 ÷ 2 × 3(k) 50 ÷ 5 × 15 (l) 75 ÷ 15 × 10(m) 4 × 60 ÷ 4 (n) 12 × 4 ÷ 2Exercise 2.91. Simplify:(a) 16 – 5 + 6 (b) 46 + 55 – 40(c) 15 – 6 + 12 (d) 32 + 30 – 60(e) 20 – 2 + 30 – 4 (f) 60 + 60 – 40 – 4(g) 40 + 3 × 6 – 20 (h) 22 – 2 × 6 + 20(i) 5 × 5 – 10 + 16 (j) 6 × 7 + 10 – 25(k) 56 + 4 ÷ 2 – 2 (l) 32 ÷ 8 + 2 × 7 – 10(m) 16 ÷ 4 + 4 × 4 – 3 × 3 (n) 50 – 2 ÷ 2 + 17 × 2(o) 100 × 2 + 60 ÷ 6 – 10 (p) 228 ÷ 4 + 10 × 4 – 32. Make mathematical statement:(a) The sum of 3 and 4 is multiplied by 7.(b) Subtract 2 from 10 and divide the result by 2.(c) Add 10 and 12, then subtract 8 from the sum.(d) Multiply 25 and 4, then add 20 to the product.(e) Divide 80 by 8, then subtract 2 from the quotient.3. Make mathematical sentences and simplify: (a) 15 is added to the product of 5 and 4.(b) 20 is subtracted from the product of 8 and 8.(c) 15 is multiplied with the sum of 75 and 25.(d) 50 is divided by 5 and quotient is added to 15.Acme Mathematics 5 93
(e) 5 is subtracted from the quotient of hundred divided by five.(f) The product of 20 and 6 is added with 50, then 60 is subtracted from the result.4. Find the correct sign in the box:(a) 8 5 11 = 2 → use +, – signs(b) 12 5 10 4 = 66 → use ×, –, + signs(c) 16 2 4 2 = 16 → use +, ×, ÷ signs(d) 39 13 2 10 16 = 0 → use all signs.(e) 20 18 6 15 10 = 65 → use all signs5. Complete the given operation and go to your math lab:200 400 200 500 450150 200 100 200 300Math LabOh! CongratulationWrite your result here.× 26. Make mathematical expression and simplify.(a) There were 25 students in a class. On Sunday 5 students left the class and 10 new students joined the class. Now, how many students are there in the class?(b) Sital had Rs. 100. Her mother gave her Rs. 350. If she spent Rs. 225, how many rupees does she have now?(c) I had 12 marbles. My brother gave me 2 times more marbles than I had. I gave 8 marbles to Shyam. How many marbles do I have how?(d) Add the product of 10 and 8 to 20. What is the result?(e) The product of 8 and 9 is subtracted from 100 and the result is added to 10. What is the result?(f) The product of 14 and 8 is added to 50.(g) The quotient of 80 divided by 8 is multiplied by 12.21094 Acme Mathematics 5
1. The total area of Nepal is 1,47,516 km2.(a) Show the numbers in place value chart in national number system.(b) Write the numbers in words.(c) Make a mathematical expressions and simplify.Divide 100 by the sum of 3 and 17.2. The total population of Nepal is 29164578 according to the national census 2078.(a) Write the place and place value of 1.(b) Express the population in national place value chart.(c) Write the devenagari number and number name for the population of Nepal.3. (a) What is the place value of 5 in 78549?i. 100 ii. 1000 iii. 10 iv. 10,000(b) How many thousands make 1 lakhs?i. 10 ii. 100 iii. 1000 iv. 15(c) Which is the smallest 3 digit number?i. 111 ii. 100 iii. 1000 iv. 9994. (a) Which is the composite number?i. 11 ii. 12 iii. 17 iv. 23(b) Which is the prime number?i. 2 × 3 × 5 ii. 3 × 5 × 5 iii. 29 × 1 iv. 3 × 4 × 5(c) Find the product when difference of 17 and 9 is multiplied by 2.i. 18 ii. 19 iii. 16 iv. 325. (a) Write the following number in words or in number.(i) 7, 60, 140(ii) five crore six lakh and twenty(b) Write the smallest and largest number formed by the digits.1, 5, 0, 2, 4Mixed ExerciseAcme Mathematics 5 95
(c) Simplify : 16 + 4 – (6 + 4)6. According to Ministry of Education, total population of students in Nepal in 2022 AD is 6373003.(a) Rewrite using the comma (,) according to the internaltinal system and show it in the place value table.(b) Write the population in words in international system.(c) Write the place and place value of 7.7. (a) .............. is neither prime number nor composite number.i. 1 ii. 2 iii. 3(b) Which is the even prime number?i. 2 ii. 4 iii. 68. Sita has total Rs. 240,320,654 saving in a year.(a) Write the above number in word according to international number system.(b) Write the period of 5.(c) Write the above number in expanded form.9. (a) Write the following in number (international place value chart)i. Seven million nineteen thousand.ii. Five hundred sixty eight million.(b) Write the place value of underlined digit (international system): 4,326,14610. In the number 9876054, answer these questions.(a) Rewrite and use commas according to the international number system of given number.(b) Write the expanded form of the given number.(c) Put the international place value chart and write in words of the given number.11. (a) Subtract and verify the answer by using inverse operation : 350 – 41(b) The sum of two numbers in 987201, the smaller number is 318412. Find the large one.12. (a) Round off 846 :i. to the nearest ten.ii. to the nearest hundred.96 Acme Mathematics 5
(b) Simplify ; 6 + 16 + 4 ÷ 2 - 1013. Study the given number and answer the following questions.3, 6, 5, 2(a) Find the greatest number of this digit.(b) Find the sum of greatest and smallest number.14. (a) Which is Prime number?i. 8 ii. 9 iii. 10 iv. 11(b) Add: 265763+ 478446 (c) Multiply: 3469× 32 15. Binod came abroad. He bought 5 packets of chocolates containing 30 chocolates in each packet and from these chocolates, he distributed 39 chocolates to his relatives and 8 chocolates to his friends.(a) Write the above problem into mathematical sentence.(b) How many chocolates are left with Binod?(c) The number of chocolates distributed to the relatives is 39. Is it prime or composite number?16. The price of a television in the market recently is one lakh twenty thousand five hundred fifty.(a) Write the number according to the international system using commas.(b) Write the international system in words.(c) Write the expanded form of that number.17. The total property of Biraj is 54567290 rupees.(a) Use in comma in Nepali number system.(b) Write the place value of 6.(c) Write in words.18. Write the number 1 to 10. Then find(a) Prime number. (b) Composite number.Acme Mathematics 5 97
19. If A = 80, B = 40 and C = 60. Then find the following.(a) A + C – B (b) A + B ÷ C20. Solve:(a) 876542 (b) 8762– 456632 × 42 21. Solve:(a) 32 ÷ 8 × 7 – 20(b) Add 10 and 12 than subtract 8 from the sum.22. Maldives is the least populated country in Asia. Its population is abut 345879.(a) Show the population in National place value system.(b) Write the population using commas using Nepali system.(c) Round off the population to the nearest hundreds.(d) Distinguish the population as prime and composite number.23. Observe the given numeral then answer the questions.4281620(a) Put commas according to national system.(b) Write the number name according to national system.(c) Write the expanded form of the given numeral.24. From the given digits answer the questions.2, 0, 4, 7 and 8(a) Write the greatest and smallest number from the digits.(b) Find the sum of greatest and smallest number.25. Perform the task.(a) 3469 (b) 36789× 32 + 2149898 Acme Mathematics 5
EvaluationTime: 41 minutes Full Marks: 171. (a) Simplify: 30 ÷ 5×4 − 20 [1] (b) Simplify: 100 −{50 + (5 × 12 ÷ 3)} [2](c) Write the problem \"Sum of 6 and the product of 3 and 5\" into mathematical sentence and simplify. [2](d) Simplify : 16 – [5 +{ 9 – (10 – 6)}] [2]2. Ram brought 8 packets and 5 more packets chocolate returning from abroad. Each packet has 40 chocolates. And he gave 52 chocolates to his friend. (a) How many chocolates has Ram got? [1](b) If one chocolate costs Rs 6.50, how much costs for friend's chocolates? [2](c) How many chocolates has Ram left ? [2]3. Kedar wants to plant cauliflower in his land. He has Rs 12,263. He needRs 15,000 more for cultivating the land. He took loan Rs 18000 from his friend Prem. (a) How much money does Kedar have? [1] (b) He bought 2000 cauliflower seedling for Rs 10000. How much money is left with him? [2](c) If he needs fertilizer for Rs 5000, how much money is needed to him? [2]Acme Mathematics 5 99
Warm Up Test1. Write the shaded part in fraction:(a)= ..............(b)= ..............(c)= ..............(d)= ..............2. Fill in the blanks:(a) 34, 3 is called ............................. and 4 is called ............................. .(b) 29, 9 is called ............................. and 2 is called ............................. .3. Write in fraction form:(a) Two-fifth = ................. (b) One-half = .................(c) Three-fourth = ................. (d) One-third = .................4. Choose the like fractions: 12, 34, 14, 24, 13, 275. Choose the unlike fractions: 57, 25, 39, 38, 18, 176. Add: 315 + 115 + 7157. Subtract: 710 – 5108. Express in decimal number:(a) 310 = .................... (b) 910 = ................... (c) 4100 = ................9. Change in to fraction:(a) 0.4 = ........ (b) 0.5 = ........ (c) 0.33 = ........ (d) 0.90 = ........3 Fraction100 Acme Mathematics 5