Acme Mathematics-4 51Exercise 2.21. Write in the standard form:(a) 50000 + 5000 + 400 + 50 + 9 =(b) 60000 + 7000 + 800 + 80 + 1 =(c) 70000 + 8000 + 900 + 20 + 3 =(d) 80000 + 9000 + 400 + 50 + 6 =(e) 90000 + 8000 + 700 + 60 + 5 =2. Write in the standard form:(a) 1 Ten thousand + 2 thousand + 3 hundred + 4 tens + 5 ones(b) 2 Ten thousand + 5 thousand + 6 hundred + 8 tens + 9 ones(c) 9 Ten thousand + 9 hundred + 9 tens + 0 ones3. Write the number using comma:Ten-thousand Thousand Hundred Tens Ones8 1 3 5 7 .......................7 4 0 2 1 .......................3 6 6 7 8 .......................1 2 1 0 9 .......................9 0 5 7 6 .......................4. Express in the place value chart and write in word:(a) 3,457 (b) 9,789 (c) 18,008 (d) 87,230(e) 89,007 (f) 10,900 (g) 29,000 (h) 33,2275. Fill in the blanks using = , > or < :(a) 18249 _____ 26539 (b) 65291 _____ 17534(c) 10386 _____ 27164 (d) 43756 _____ 43236(e) 53489 _____ 53489 (f) 94058 _____ 94650(g) 19591 _____ 19790 (h) 34351 _____ 72555(i) 89726 _____ 81726 (j) 25959 _____ 25959(k) 71328 _____ 64367 (l) 71030 _____ 90150(m) 19791 _____ 19791 (n) 45367 _____ 45869
52 Acme Mathematics-46. Circle the largest number:(a) 13631, 23681, 33623, 44163, 53861(b) 64243, 74603, 84432, 94132, 14453(c) 25391, 25931, 22319, 55139, 5591(d) 76659, 76682, 76631, 76148, 76361(e) 97393, 97935, 97345, 97135, 97981(f) 86152, 86286, 86392, 81540, 834907. Circle the smallest number:(a) 17602, 17360, 17210, 17860, 17860(b) 82761, 83167, 84671, 82267, 83117(c) 93089, 99038, 98031, 98708, 97078(d) 24386, 24863, 34638, 44363, 54673(e) 86263, 76197, 26681, 56403, 87119(f) 83179, 54132, 88130, 21191, 9325(g) 76544, 46566, 96875, 23665, 162548. Write the largest and smallest 5-digit numbers from the given digits:Digits Largest Smallest(a) 2, 9, 7, 8, 5 98752 25789(b) 8, 3, 2, 4, 5(c) 9, 3, 4, 8, 1(d) 1, 4, 9, 5, 6(e) 2, 6, 5, 7, 8(f) 1, 0, 8, 9, 2(g) 5, 6, 0, 8, 7(h) 5, 8, 1, 7, 6It's quite easy if you follow the above simple rules.
Acme Mathematics-4 536-digit NumbersA. How does 6-digit number form?How many digits does 99999 contain?99999 contains 5 digits.What is the number when 1 is added to 99999 ?99999 + 1 = 90000 + 9000 + 900 + 90 + 9 + 1= 90000 + 9000 + 900 + 90 + 10= 90000 + 9000 + 900 + 100= 90000 + 9000 + 1000= 90000 + 10000= 100000100000 is 6-digit number. It is read as one lakh.Consider the number 9,87,654It is 6-digits number 9, 87 and 654 are separated by comma. What is the number name of 9,87, 654?9,87,654The place value of 4 is ones = 4The place value of 5 is tens = 50The place value of 6 is hundred = 600The place value of 7 is thousand = 7,000The place value of 8 is ten thousand = 80,000The place value of 9 is lakh = 9,00,000It is nine lakh eighty seven thousand six hundred and fifty-four.B. The expanded formA 6-digit number consists of six place values. Lakh, ten thousand, thousand, hundred, tens and ones. The number name of it indicates the digits in the respective place value of the number. Consider a 6-digit number 357489. This number can be written as :3,57,489 = 3 lakh + 5 ten thousand + 7 thousand + 4 hundred + 8 tens + 9 ones= 3 × 100000 + 5 ×10000 + 7 × 1000 + 4 × 100 + 8 × 10 + 9 × 1= 300000 + 50000 + 7000 + 400 + 80 + 9The above form is the expanded form of the number 3,57,489.
54 Acme Mathematics-4C. The standard form If a number is given in an expanded form, it can be put in the standard form.Consider the following expanded form 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 the above expanded form is 4,73,821.D. Order relationConsider the number 3,52,468 and 9,85,421For ordering the number we compare the digits in lakh, ten thousand, thousand, hundred, tens and ones.Since, 3 < 9 we have 3,52,468 < 9,85,421If the digits in lakh place are equal, compare the digits in ten thousand.342568 > 325396 → as 4 > 2If the digits in ten thousand place are equal compare the digits in thousand 345246 > 343200 → as 5 > 3If the digits in thousand place are equal compare the digits in hundred and so on.345217 < 345687 → as 2 < 6Classwork1. Read the given place value chart and write the number name:(a) Lakh Thousand OnesTens Ones Hundred Tens Ones5 6 8 9 4 8.......................................................................................................(b) Lakh Thousand OnesTens Ones Hundred Tens Ones8 4 9 8 6 5.......................................................................................................
Acme Mathematics-4 55(c) Lakh Thousand OnesTens Ones Hundred Tens Ones6 3 2 5 4 1.......................................................................................................(d) Lakh Thousand OnesTens Ones Hundred Tens Ones1 3 3 1 2 4.......................................................................................................2. Use comma (,):(a) 513630 (b) 764253 (c) 821391(d) 986659 (e) 599393 (f) 5861523. Write the number name for the following number:1,56,4752,68,7413,72,5634,82,9015,91,2806,75,4067,32,0308,47,1809,39,3219,99,999Exercise 2.31. Write the numbers for the following number names:(a) Two lakh fifty thousand three hundred and fifty-five ..............(b) Three lakh ninety three thousand eight hundred and ten ..............
56 Acme Mathematics-4(c) Four lakh eighty two thousand seven hundred and two ..............(d) Five lakh fifty three thousand one hundred and ninety ..............(e) Six lakh thirty seven thousand five hundred and eight ..............(f) Seven lakh sixty thousand two hundred and twenty-nine ..............(g) Eight lakh nine thousand six hundred and five ..............(h) Nine lakh ninety nine thousand nine hundred and nine ..............2. Count on the number line:(a)100000 100001(b)215410 215420(c)643450 643550(d)998300 998600(e)814000 816000(f)200000 5000003. Put the given number on the place value chart and write their name:(a) 123564 (b) 240785 (c) 312406 (d) 461478(e) 598115 (f) 670232 (g) 752106 (h) 8145674. Write the place of the encircled digits:(a) 3 2 1 5 0 9 2 is in 'ten thousand' place.(b) 4 5 2 6 3 8(c) 5 3 9 2 5 7(d) 6 7 5 2 3 6(e) 0 8 6 4 2 5(f) 9 0 9 1 6 4
Acme Mathematics-4 575. Write the place value of the encircled digits:(a) 1 5 6 3 7 0 100000(b) 2 6 4 0 5 9(c) 3 5 6 1 9 8(d) 4 5 3 2 6 7(e) 5 7 9 6 0 5(f) 6 8 7 6 5 4(g) 7 0 2 9 5 3(h) 8 2 7 5 1 0(i) 9 4 6 5 2 16. Write the following numbers in the expanded form:(a) 234567............ + ............. + ............. + ............. + ............. + .............(b) 3456678............ + ............. + ............. + ............. + ............. + .............(c) 456789............ + ............. + ............. + ............. + ............. + .............(d) 567891............ + ............. + ............. + ............. + ............. + .............(e) 678923............ + ............. + ............. + ............. + ............. + .............7. Write in the standard form:(a) 400000 + 60000 + 5000 + 300 + 90 + 8 =(b) 500000 + 40000 + 3000 + 700 + 60 + 2 =(c) 600000 + 50000 + 8000 + 900 + 5 =(d) 700000 + 80000 + 7000 + 300 + 40 + 5 = (e) 800000 + 70000 + 6000 + 500 + 40 =
58 Acme Mathematics-48. Write in the standard form:(a) 1 lakh + 3 ten thousand + 5 thousand + 8 hundred + 9 tens + 1 ones. (b) 1 lakh + 5 ten thousand + 7 thousand + 9 hundred + 3 tens + 2 ones. 9. Write the numbers in the blanks:1000 less Given number 1000 more9,87,5101,05,7893,46,8294,78,50310. Write the numbers in the blanks:10000 less Given number 10000 more6,77,9083,24,5671,99,0003,00,9998,88,88811. Fill in the blanks using the symbol =, > or < :(a) 218240 ............ 226539 (b) 965291 ............ 817532(c) 310386 ............ 327147 (d) 743756 ............ 643200(e) 453489 ............ 453486 (f) 594058 ............ 490650(g) 519591 ............ 519791 (h) 334000 ............ 272111(i) 689726 ............ 681726 (j) 125959 ............ 125959(k) 871328 ............ 864366 (l) 371230 ............ 490153(m) 919791 ............ 919791 (n) 545397 ............ 645867
Acme Mathematics-4 5912. Order the numbers from greatest to least.(a) (b)Thousands OnesLakh One Tens Ones Hundred Tens OnesThousands OnesLakh One Tens Ones Hundred Tens Ones674509 183242 706185 841704 818239 874351 830076 343443(c) (d)805663 907965 226749 881320 251073 413139 559442 281569Thousands OnesLakh One Tens Ones Hundred Tens OnesThousands OnesLakh One Tens Ones Hundred Tens Ones13. Circle the largest number and cross the smallest number:(a) 613630, 623681, 538623, 544160, 653861(b) 764243, 773603, 784032, 694132, 514451
60 Acme Mathematics-4(c) 825391, 825931, 722319, 855139, 855991(d) 976659, 976682, 876631, 776148, 976361(e) 697393, 597935, 697345, 597135, 497981(f) 486152, 486286, 386392, 481540, 28349014. Write the largest and the smallest 6-digit numbers from the given digits:Given digits Largest number Smallest number(a) 9, 1, 7, 8, 5, 2 987521 125789(b) 8, 1, 2, 4, 5, 3(c) 7, 3, 5, 8, 1, 4(d) 6, 4, 9, 2, 3, 5(e) 5, 6, 4, 7, 8, 1(f) 4, 0, 8, 9, 2, 7(g) 3, 6, 1, 2, 7, 8(h) 2, 8, 1, 7, 6, 915. Write the numbers in the boxes from the greatest to the least value. See the example below.(a) 123478, 325478, 154870, 169987, 265980325478 265980 169987 154870 123478(b) 235467, 269874, 246987, 201579, 256590(d) 452187, 469870, 410247, 483014, 450970(e) 678014, 698104, 604834, 617805, 750140(f) 765201, 701457, 785494, 840157, 760214
Acme Mathematics-4 617-digit Numbers(a) National number systemEach of the ten symbols: 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0 are called digits. 34 is a twodigit number and 123 is a three-digit number.When a number consists of more than one digit, each digit carries a value according to its place. The table shows the place value chart.Place value chart in national number systemTable shown below is the place-value chart for the first seven place (up to ten lakh) in our national system.Study the chart carefully:Lakhs Thousands UnitsTen lakh One lakh Ten thousand One thousand Hundreds Tens Ones3 4 5 6 7 8 9# $ % ^ & * (The number is read as: Thirty-four lakh fifty-six thousand seven hundred and eighty nine.rf}lt; nfv 5kGg xhf/ ;ft ;o pgfGgAa] . Numbers Ten Lakhs Lakhs Ten thousands Thousands Hundred Tens OnesOne 1Ten 1 01 Hundred 1 0 01 Thousand 1 0 0 010 Thousands 1 0 0 0 01 Lakh 1 0 0 0 0 010 Lakh 1 0 0 0 0 0 0Is face value is less than place value ?
62 Acme Mathematics-4Place value and Face valueLet a number is 6751823.Now, we can show it in the place value chart as follows.Ten lakh Lakh Ten thousand Thousand Hundreds Tens Ones6 7 5 1 8 2 3In the above place value chart, the digit 6 have two meanings:The face value of 6 is only 6.But the place of 6 is \"ten lakh\" so its value is 6 × 10,00,000 = 6000000.The place of 7 is \"lakh\" so its value is 7 × 1,00,000 = 700000.The place of 5 is \"ten thousand\" so its value is 5 × 10,000 = 50000.The place of 1 is \"thousand\" so its value is 1 × 1,000 = 1000The place of 8 is \"hundred\" so its value is 8 × 100 = 800The place of 2 is \"tens\" so its value is 2 × 10 = 20The place of 3 is \"ones\" so its value is 3 × 1 = 3Use of commaIn the above numbers, commas are used to make it 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 numerals counting from right to left.Then every two numerals are separated by commas.Example 1: Put comma (,) in appropriate places, and write in words: 5698765Solution: 56,98,76556 Lakh 98 thousand 7 hundred 65 Fifty six lakh ninety eight thousand seven hundred and sixty five.Remember! Count the digits from right to left to put commas.
Acme Mathematics-4 63(b) 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 Units One Million Hundred thousands Ten thousands One thousand Hundreds Tens Ones4 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 Units One Million Hundred thousands Ten thousands One thousand Hundreds Tens Ones4 8 5 6 7 8 9In the place value chart,The digits in the millions period is 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 :Four millions eight hundred fifty six thousand seven hundred and eighty nine.
64 Acme Mathematics-4Classwork1. Write 'True' or 'False' in the blanks:(a) 1 million = 1000 thousand.(b) 1 lakh = 100 thousand.(c) 10 lakhs = 1 million(d) Nearest ten of 768 is 770.(e) Nearest hundred of 955 is 1000.(f) 7777777 is the largest 7-digit number.2. (a) Write the number name: 2345678. (Both system)(b) Write in the numeral: Ten lakh four thousand. (Both system)(c) Expand the number 7824316 and write it in Devnagari.Exercise 2.41. Write the highlighted number's place value and face value in National number systemNumbers Place Value Face Value3456089 Thirty lakh 36706587445000789987112098
Acme Mathematics-4 65890012905,9872. Write the place-value of the underlined digits use (national system):(a) 321754 (b) 643097 (c) 834376(d) 2902856 (e) 4516538 (f) 12520643. Write the following numerals in a place-value chart and write their number names:(a) 564327 (b) 653167 (c) 2417890(d) 9874652 (e) 1378391 (f) 74215934. Put comma (,) in appropriate places and write each of them in words:(a) 6523453 (b) 7464387 (c) 5340379(d) 8348505 (e) 7309432 (f) 78432065. Write down each of the following in numerals (numbers) using commas:(a) Fifty six lakh nineteen thousand three hundred and sixteen.(b) Thirty five thousand three hundred and ninety-nine.(c) Sixty-five lakh and forty six thousand.(d) Forty-six lakh eighty-five thousand and sixty-six.(e) Five lakh and seven thousand.(f) Eleven lakh ten thousand nine hundred and eighty-seven.6. 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) Six million three hundred thirty five thousand, two hundred and ninetynine.(c) Five million fifty-six thousand.(d) Seven million seven hundred forty-six thousand and sixty-six.(e) Nine million sixty-five thousand four hundred and seven.(f) Eight million nine hundred thirty five thousand nine hundred and eighty-seven.
66 Acme Mathematics-4A. Smallest and the Largest Numbers of Different DigitsStudy the chart carefully.Number The smallest Number The largest Number 1-digit number 1 9 2-digit number 10 99 3-digit number 100 999 4-digit number 1000 9999 5-digit number 10000 99999 6-digit number 100000 999999 7-digit number 1000000 9999999The Smallest and the Largest Numbers from the given digits:Consider the digits 1, 3, 6, 5, 7, 8, 9Smallest Number from these digits: 13, 56, 789Largest Number from these digits: 98, 76, 531B. Expanded form of the NumbersWe know how to write a number in expanded form. Here is an example.2951837 = 2000000 + 900000 + 50000 + 1000 + 800 + 30 + 7C. Rounding the Numbers(a) Rounding off to the nearest tenRound off 23 to nearest 10.0 10 20 23 303 units 7 unitsIn the number line, 23 lies between 20 and 30, where23 is 3 units far from 20.23 is 7 units far from 30. So, 23 is nearer to 20.
Acme Mathematics-4 67We round off 23 as 20 to its nearest ten.(i) Round of 28 to nearest ten.10 20 30 4028Here, 28 lies between 20 and 30. But 28 is nearer to 30 than to 20, So, we round off 28 as 30 to its nearest ten.(iii) Round off 25 to its nearest ten.10 20 30 4025Here, 25 lies in the middle of 20 and 30. In such cases, we round off 25 to the greater value.So, we round off 25 as 30 to its nearest ten.(b) Rounding off to the nearest hundred.(i) Round off 120 to nearest hundred.100 110 120 130 140 150 160 170 180 190 200120 lies between 100 and 200. But 120 is nearest to 100 than to 200. So, we round off 120 as 100 to its nearest hundred.(ii) Round off 280 to nearest hundred.200 210 220 230 240 250 260 270 280 290 300Here, 280 is nearer to 300 than to 200. So we round off 280 to 300(iii) Round off 250 to the nearest hundred200 210 220 230 240 250 260 270 280 290 300Here, 250 is in the middle of 200 and 300. So we round off 250 to 300.Is there any specific rule to round off the numbers?
68 Acme Mathematics-4When we round off a number to a particular place, We look at the digit immediately to its right place. If the digit to the right place is 5, 6, 7, 8 or 9, we increase the particular place by 1, If the digit to the right place is 0, 1, 2, 3 or 4, the particular place is replace by 0.Example 1 : Round off 63 to the nearest ten.T O6 3 The digit to the right of 6 is 3.So, we round off 63 to 60. Example 2 : Round off 48 to the nearest ten.T O4 8 The digit to the right of 4 is 8.So, we round off 48 to 50. Example 3 : Round off 567 to the nearest hundred.H T O5 6 7The digit to the right of hundred place is 6. Increase the digit 5 of 567 by 1 and replace the digits 6 and 7 by 0.So, we round off 567 to 600.Example 4 : Round off 7318 to the nearest hundred.Th H T O7 3 1 8The digit in hundred place is 3. The digit to the right of hundreds place is 1. So, replace the digits 1 and 8 by 0. So, we round off 7318 to 7300.Devnagari NumbersThe table shows the place value chart of Devnagari number system.bz nfv nfv bz xhf/ xhf/ ;o bz Ps( ) & ( ^ ! @The periods are same as National number system. The number (),&(,^!@ is read as, gAa] nfv pgfGc;L xhf/ 5 ;o afx| .
Acme Mathematics-4 69Classwork1. Fill in the blanks:(a) National number system International number system1 lakh ........................................10 lakh ........................................36 lakh ........................................10 thousand ........................................90 thousand ........................................18 lakh ........................................(b) Write the place value of the underlined digit in the table:Numbers Place valueNational system International system4538769257385598746139047924731942(c) Match the following:10000 the smallest 3-digit number101 the greatest 1-digit number9 one more than the smallest 3-digit number100 the greatest 4-digit number9999 the smallest 5-digit number2. (a) sdfsf] k|of]u u/L cª\\sdf n]Vg'xf];\\ .(i) #$&^%$ (ii) !))$*()(b) Round the number 73 to the nearest 'ten'.(c) Round the number 750 to the nearest 'hundred'.
70 Acme Mathematics-4Exercise 2.51. The table shows the place value chart of the numbers in international number system. Convert it to the place value chart of national number system:Million Thousand UnitsOne millionHundredthousandTenthousandOne thousand Hundred Tens Ones4 8 9 6 1 8 22 7 5 3 9 0 00 2 6 7 4 8 99 6 2 1 3 0 02. Use the following digits to write the smallest and the greatest number you can form:(a) 2, 6, 7, 8, 3 (b) 6, 3, 7, 8, 5, 1(c) 3, 7, 5, 6, 9, 8, 1 (d) 2, 6, 3, 7, 8, 5, 13. Write the following numbers in the expanded form:(a) 3673725 (b) 3475623 (c) 5746321(d) 7933215 (e) 3264791 (f) 5785126(g) 1687454 (h) 2560874 (i) 50874514. Write the following numbers in the expanded form to the standard form:(a) 2000000 + 800000 + 60000 + 4000 + 200 + 70 + 6(b) 3000000 + 500000 + 30000 + 4000 + 100 + 80 + 1(c) 9000000 + 600000 + 70000 + 9000 + 300 + 40 + 7(d) 1000000 + 200000 + 10000 + 7000 + 100 + 20 + 1(e) 8000000 + 300000 + 20000 + 1000 + 600 + 20 + 95. sdfsf] k|of]u u/L cIf/df n]Vg'xf];\\M(a) !@&%$# (b) *&%$#^ (c) &*%#@!(d) !!@&%$# (e) %#!@*&% (f) *%#@!)(6. sdfsf] k|of]u u/L cª\\sdf n]Vg'xf];\\M(a) gAa] nfv pgfGc;L xhf/ 5 ;o .(b) c7f;L nfv pgGtL; xhf/ rf/ ;o afx| .
Acme Mathematics-4 71(c) afpGg nfv b'O{ xhf/ tLg ;o gf} .(d) PsfgAa] nfv pgfGrfnL; xhf/ kfFr ;o ;q .(e) gf} nfv gf} xhf/ gf} ;o gf} .7. Write down the followings:(a) Largest 2-digit number (b) Smallest 7-digit number(c) Largest 5-digit number (d) Smallest 5-digit number(e) Largest 1-digit number (f) Smallest 4-digit number(g) Largest 3-digit number (h) Smallest 6-digit number8. Find out the following numbers:(a) 1 added to the largest 3-digit number(b) 1 subtracted from the smallest 5-digit number(c) 1 subtracted from the smallest 7-digit number(d) 1 added to the largest 6-digit number(e) 1 added to the smallest 2-digit number(f) 1 subtracted from the largest 7-digit number9. Round off the circled digits to the nearest ten:(a)80 81 82 83 84 85 86 87 88 89 90(b)10 11 12 13 14 15 16 17 18 19 20(c)50 51 52 53 54 55 56 57 58 59 6010. Round off to the nearest ten:8 32 48 6555 98 99 23'1' must beconsistent !
72 Acme Mathematics-411. Round off to the nearest hundred:123 270 350 440869 109 799 88812. Round the given numbers to the nearest ten:(a) 27 (b) 921 (c) 320(d) 215 (e) 479 (f) 851(g) 8745 (h) 4052 (i) 632813. Round the given numbers to the nearest hundred:(a) 782 (b) 446 (c) 521(d) 4677 (e) 4798 (f) 2126(g) 7450 (h) 1740 (i) 650014. Study the following information and answer the given questions:Narayangarh Muglin0 km 36 km 72 km 144 kmMalekhu Kathmandu(a) How far is Muglin from Narayangarh? (nearest 10)(b) How far is Malekhu from Narayangarh? (nearest 10)(c) How far is Kathmandu from Narayangarh? (nearest 10)
Acme Mathematics-4 73EvaluationTime: 60 minutes Full Marks: 251. The total population of a town is 9164578.(a) Write the place and place value of 6 in 9164578 . [2] (b) Write the number according to national number system by using comma.Also write in word. [2] (c) Write the largest and smallest number from the given digits: 9,1,6,4,5,7,8. [2](d) Rounding off 578 to the nearest hundred. [1] (e) How many lakh are there in the number 9164578? [1] 2. (a) What is the place value of 6 in 2463501 ? [1] (i) 600 (ii) 6000 (iii) 60000 (b) Round off 240 to the nearest hundred is ……… [1] (i) 200 (ii) 300 (iii) 250 (c) Write the standard form. [1] 700000 +15000 + 400 + 80 + 33. (a) Write the place of 8 in 938652. [1](b) Write the number name of 938652 in word according to national system by using comma. [2](c) Show the number 45326 in abacus? [2]4 . (a) Write the number 2346510 in national place value chart. [2] (b) Put the comma (,) by international system. [1] 673210542 (c) sdfsf] k|of]u u/L cIf/df n]Vg'xf];\\M !@&%$#) [2] 5. (a) Write the Expanded form of 345208. [1](b) How many thousand are there in 1 lakh? [1] (c) The lower ten of 16 is ……….and upper ten is …….. [1](d) Round off the 46 to nearest to ten. [1]
74 Acme Mathematics-42.2 Basic Operations71 3 66 74 55 118 236 129 488 962 82 70 2112 231 217 342 70416 62 6 88 151 17131770562 72 9561 176 247Complete the following pyramid addition.a.c.b.d.Activity 1
Acme Mathematics-4 75Addition of 4-digit NumbersA. Addition without carryingAdd the following:Th H T O3 4 5 6+ 3 4 1 26 8 6 8Step I : First, add onesStep II : Next, add tensStep III : Next, add hundredStep IV : Finally, add thousand6 + 2 = 85 + 1 = 64 + 4 = 83 + 3 = 6Do you know how to add 4-digit numbers? Lets Try!66666810 ?1213741 4122335 337Study the numbers inside the circle and guess the operation. Replace the symbol '?' by a number.1. How many circles?2. Calculate the sum of digits inside the circle.3. Are the sum equals?Activity-2
76 Acme Mathematics-4Th H T O3 2 1 01 3 2 4+ 4 4 4 48 9 7 8Step I : Add onesStep II : Add tensStep III : Add hundredsStep IV : Finally add thousands0 + 4 + 4 = 81 + 2 + 4 = 72 + 3 + 4 = 93 + 1 + 4 = 8Classwork1. Complete the table.+ 13 1422. Fill in the blanks:The sum of 20 and 50 is ...................... .3. Add: 7 tens + 8 tens = ...........4. Add:5. Find the sum of: 4123 and 2589Exercise 2.61. Add the following:(a) Th H T O7 6 3 5+ 1 2 4 3(b) Th H T O6 0 0 1+ 1 7 2 5(c) Th H T O4 6 4 1+ 2 2 0 3(d) Th H T O5 3 4 2+ 2 1 5 7(e) Th H T O2 3 4 6+ 4 6 3 0(f) Th H T O8 4 7 2+ 1 3 0 3 8 8 0 + 3 8 7
Acme Mathematics-4 77(g) Th H T O3 6 0 21 1 5 4+ 3 1 1 2(h) Th H T O1 2 3 41 2 3 0+ 3 0 0 2(i) Th H T O6 7 8 91 2 0 0+ 2 0 1 0(j) Th H T O3 4 5 62 1 3 0+ 3 2 0 2(k) Th H T O2 3 0 21 0 1 1+ 2 6 6 6(l) Th H T O5 0 2 03 6 5 0+ 1 1 1 9B. Addition with carryingAdd 4867 and 1265Th H T O4 8 6 7+ 1 2 6 5If you want to know how to add, follow these steps.4 8 6 7+ 1 2 6 521 Step I: Add the Ones7 + 5 = 12 OnesSince, we cannot write 2 digits together, write 2 under ones column add carry 1 to the tens column.4 8 6 7+ 1 2 6 53 21 Step II: Add the Tens. Don't forget to add carry.6 + 6 + 1 (carry) = 13 tensWrite 3 under tens column and carry 1 to the hundred column.4 8 6 7+ 1 2 6 51 3 21 1 Step III: Add the Hundred8 + 2 + 1(carry) = 11 hundredWrite 1 under hundred column and again carry 1 to the thousand column.
78 Acme Mathematics-44 8 6 7+ 1 2 6 56 1 3 21 1 1 Step IV: Add the thousands 4 + 1 + 1 (carry) = 6 thousandWrite 6 under thousand column. The answer is 6132.ClassworkAdd the following:(a) Th H T O4 5 4 4+ 3 2 2 6(b) Th H T O3 4 5 7+ 4 2 1 6(c) Th H T O6 5 7 2+ 3 2 1 9(d) Th H T O1 4 5 4+ 2 3 2 9(e) Th H T O3 4 1 3+ 5 2 2 8(f) Th H T O5 4 7 2+ 4 2 1 9Exercise 2.71. Add the following:(a) Th H T O7 3 1 21 7 6 8+ 3 4(b) Th H T O2 8 2 35 3 5 7+ 1 4 8(c) Th H T O3 5 5 85 0 2 1+ 1 0 5 3(d) Th H T O5 6 0 92 3 4 7+ 4 2 0 5(e) Th H T O6 7 3 72 1 7 0+ 1 2 3 5(f) Th H T O3 8 1 86 7 3 7+ 1 0 5 3
Acme Mathematics-4 79(g) Th H T O8 1 3 91 5 4 3+ 1 6 5 1(h) Th H T O8 3 6 84 1 3 9+ 1 2 0 9(i) Th H T O7 4 5 78 1 3 9+ 2 3 1 72. Add the following:(a) 5 4 9 22 3 4 56 7 8 2+ 3 3 1 8(b) 6 3 8 21 2 3 45 6 7 8+ 2 4 2 6(c) 3 6 0 17 5 8 62 6 9 7+ 1 2 4 6(d) 6 6 6 86 6 6 86 6 6 8+ 2 2 5 4(e) 5 7 7 95 7 7 95 7 7 9+ 3 1 6 5(f) 4 8 8 83 0 9 63 0 9 6+ 3 0 9 63. Add the following:(a) 9 5 7 23 8 1 61 5 7 83 4 5 6+ 3 8(b) 4 6 8 33 4 2 41 2 3 85 1 0 0+ 2 8 5(c) 4 8 5 71 6 4 83 0 2 45 6 7 9+ 1 2 3 0(d) 2 7 9 43 2 0 61 0 0 43 0 2 3+ 6 2 3 2(e) 2 1 3 93 8 6 73 0 2 45 6 7 8+ 2 2 4 3(f) 8 2 2 67 9 7 06 4 0 23 1 2 4+ 2 2 3 4
80 Acme Mathematics-4total addmore plusincreasetogetherand sumKey Words Used in Addition's Word ProblemsC. Word problems on additionSolve the following word problems:Example 1 : If one shoe factory produced 5438 pair of shoes and another shoe factory produced 3598 pair of shoes, how much did they produce altogether?Solution :Th H T O5 4 3 8+ 3 5 9 89 0 3 6The two shoe factories produced 9036 pairs of shoes.Classwork1. Amar had 164 marbles and Susmita had 135. How many did they have in total?2. Jaghan's farm has 182 pigs, 114 cows and 116 sheep. How many animals are there altogether?3. Saily picked 52 flowers on Monday, 44 flowers on Tuesday and 16 flowers on Wednesday. How many flowers did she pick altogether?4. There are 1199 parrots and 1370 peacocks in a zoo. How many total birds are there?Solving problems is of more fun than watching TV!
Acme Mathematics-4 81Exercise 2.81. There are 4870 mangoes in store-A and 3705 mangoes in store-B. How many mangoes were there altogether?2. There were 3624 boys, 2785 girls and 108 teachers in a school. How many people were there altogether?3. There were 321 pages in one book, 342 pages in the second book and 234 pages in third book. How many pages were there altogether?4. There were 4629 sheep in the farm A, 6754 sheep in the farm B, 3395 sheep in the farm C and 789 sheep in the farm D. How many sheep were there altogether?5. There were 4053 male, 5634 female, 1234 children and 1290 tourists in one city. How many people were there altogether?6. A car travelled 1340 km in the first month 3456 km in the second month, 789 km in the third month and 1368 km in the fourth month. How long did the car travelled altogether?7. Narayani had Rs. 3605. Nitesh had Rs. 4032. Yadav had Rs. 1245 and Yam Bahadur had Rs. 1234. How many rupees were there altogether?
82 Acme Mathematics-4Addition of 5–digit numbers As we can add two or three number up to 4 - digits, similarly we can add numbers of 5 and 6-digits. Adding big numbers is also easy and simple. Start addition with the ones, then add the tens, then the hundreds, then the thousands and lakhs and so on. The number which are added are called addends and the answer is called the sum.A. Addition without carryingExample 1 : Add: 25341 and 44301Solution :T-TH TH H T O2 5 3 4 14 4 3 0 16 9 6 4 2AddendAddendSumAdd one : 1 + 1 = 2 OnesAdd tens : 4 + 0 = 4 TensAdd hundreds : 3 + 3 = 6 HundredsAdd thousands : 5 + 4 = 9 ThousandsAdd ten thousand : 2 + 4 = 6 ThousandsIn normal practice, we do not write place value headings.B. Addition with carrying Add: 46758 and 39474.1 1 1 14 6 7 5 8+ 3 9 4 7 4 8 6 2 3 2
Acme Mathematics-4 83Steps for addition with carryingStep I Place the digits of addends in their correct columns.Step II Add ones first: 8 + 4 = 12 . So write 2 under ones column and carry to 1 tens to tens column.Step III Add tens: 5 + 7 + 1 (carried) = 13 tens = 1 hundred + 3 tens. Write 3 under tens column and carry 1 hundred to hundreds columnStep IV Add hundreds: 7 + 4 + 1 (carried) =12 hundreds = 1 thousand + 2 hundred. Write 2 under hundreds and carry 1 thousand to thousands column.Step V Add thousands: 6 + 9 + 1 (carried) = 16 thousands = 1 ten thousand + 6 thousandsStep VI Add ten thousands: 4 + 3 + 1 (carried) = 8 ten thousands. Write 8 under ten thousand column.Example : Find the sum: 333 + 3333 + 33333 + 3333333 3 33 3 3 33 3 3 3 3+ 3 3 3 3 3 33 7 0 3 3 2The sum is 370332.Classwork1. Complete the table.Place holder Carry over8 ones + 4 ones 12 ones 2 19 ones + 6 ones10 ones + 5 ones12 ones + 10 ones30 ones + 20 ones
84 Acme Mathematics-42. Fill in the blanks:Place holder Carry over7 tens + 5 tens 12 tens 2 19 tens + 3 tens ............. 3 .............10 tens + 2 tens ............. ............. .......................... + 8 tens 28 tens ............. ......................... + ........... ............. 8 73. Add the following:(a) 1 2 3 4 2+ 5 4 2 5 5 (b) 1 2 4 5 6+ 8 3 3 0 2 (c) 5 8 8 3 0+ 1 0 1 6 9 (d) 2 3 2 1 5+ 5 5 4 3 0 (e) 6 5 0 3 1+ 3 2 4 5 1 (f) 1 2 4 5 6+ 3 2 1 2 1 (g) 1 2 3 4 2+ 1 5 4 0 7 (h) 2 4 2 8 5+ 2 1 3 0 4 (i) 2 1 1 4 5+ 1 2 3 4 1 Exercise 2.91. 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
Acme Mathematics-4 85(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 2. Add the followings:(a) 8 8 9+ 4 3 2(b) 7 8 9 0+ 7 6 4 8(c) 7 2 9 8+ 3 8 0 2(d) 8 0 2 5 6+ 4 9 9 6 5(e) 9 8 7 6 5+ 1 2 3 4 5(f) 4 3 2 1 0+ 9 9 9 9 9(g) 1 7 8 3 4 7 0 3 8 6+ 1 2 3 4 5(h) 2 4 6 8 1 3 4 0 0 7 + 5 6 7 8 1(i) 6 5 0 7 6 2 4 0 8 8+ 8 2 9 1 1(j) 234 + 456 + 789(k) 1243 + 6543 + 2100(l) 78234 + 10000 + 13456(m) 12345 + 23456 + 34567(n) 7 2 3 4 6 4 5 0 6 7 + 4(o) 1 2 3 4 5 2 3 4 0 0 4 3 9 + 2 0(p) 8 4 3 6 7 2 4 6 2 4 9 2 4 5 0+ 1 2 0 4 03. Replace the • (dot) by the number:(a) 7 8 9 4 4+ 6 0 1 8 6 6(b) 4 6 7 2 5 3+ 4 5 5 51 1 1 2 5(c) 8 7 6 5 8 7+ 4 0 1 5 0 5 74. Find the value of A, B, C and D. (Hint: Add all the numbers above the letters)123 2000 8200 20307456 7211 7350 12020279 1347 2007 40107
86 Acme Mathematics-4100 2300 9000 51010A B C DWord Problems on AdditionStudy the following problem:Example 1 : Janak has 34567 bricks, Jhamak has 12790 bricks and Raman has 10203 bricks. How many bricks are there altogether?Solution : This problem is related to addition.So,There are 57560 bricks altogether.Exercise 2.10Solve the following word problems.1. There were 48334 mangoes in one garden and 37053 mangoes in another garden. How many mangoes were there altogether?2. There were 6122 boys, 2007 girls and 10908 adults in a city. How many people were there altogether?3. There were 34321 words in the first book, 30062 words in the second book and 28345 words in the third book. How many words were there altogether?4. There were 4629 sheep in the farm A, 6755 sheep in the farm B, 3395 sheep in the farm C and 789 sheep in the Adding the large numbers are not hard! 3 4 5 6 7 1 2 7 9 0+ 1 0 2 0 3 5 7 5 6 0
Acme Mathematics-4 87farm D. How many sheep were there altogether?5. There were 40653 male, 63734 female, 91234 children and 1290 tourist in one village. How many people were there altogether?6. A chopper flew 81340 minutes in the first month, 3945 minutes in the second month, 70089 minutes in the third month and 65368 minutes in the fourth month. How long minutes did the chopper fly altogether?7. Narayan, Nitesh and Yadav aew wholeseller. Narayan had 36005 marbles. Nitesh has 84032 marbles. Yadav had 51245 marbles and Yam Bahadur had 41234 marbles. How many marbles were there altogether?8. If one shoe factory produced 46438 pairs of shoes and another shoe factory produced 70598 pairs of shoes, how many pairs of shoes did they produce altogether?9. Shiva Shankhar has Rs. 45271, Homnath has Rs. 67520 and Ranjan has Rs. 24512. How much money did they have altogether?10. If one apple farm sold 7346 kg apples and another farm sold 6458 kg apples, how many apples did they sold altogether?
88 Acme Mathematics-4Subtraction of 4-digit NumbersSubtract and follow the even difference and colour the path to guide Aahana to her new home.637– 413961– 721558– 460799– 627135– 111457– 233763– 641874– 732545– 413829– 716665– 522997– 881949– 81558– 33795– 543553– 441997– 842574– 463476– 326876– 655Activity-1
Acme Mathematics-4 89A. Subtraction of 4-digit numbers without borrowing 1. Subtract:Th H T O9 8 7 6– 3 0 1 26 8 6 4Step I : Subtract the OnesStep II : Subtract the TensStep III : Subtract the HundredsStep IV : Subtract the Thousands6 – 2 = 47 – 1 = 68 – 0 = 89 – 3 = 62. Subtract:Th H T O4 5 7 8– 1 4 5 13 1 2 7Step I : Subtract the OnesStep II : Subtract the TensStep III : Subtract the HundredsStep IV : Subtract the Thousands8 – 1 = 77 – 5 = 25 – 4 = 14 – 1 = 3Subtraction of 4-digit number is same as you do 3-digit numbers.I have six eggs.Study and learn.Discuss about the answers of the problem.I break two.I fried two. I ate two. How many eggs are left?Activity-2
90 Acme Mathematics-4B. Subtraction of 4-digit numbers with borrowingSubtract : 7 6 5 4– 2 4 7 67 6 5 4– 2 4 7 681 14Step I : Subtract the ones: We cannot subtract 6 ones from 4 ones. So, we borrow 1 ten. 1 ten + 4 ones = 14 14 – 6 = 87 6 5 4– 2 4 7 67 85 14 14 Step II:Subtract the Tens: We are left with 4 tens and we can not subtract 7 tens from 4 tens. So, borrow 1 hundred. 1 Hundred + 4 tens = 14 tens.14 – 7 = 7 tens.7 6 5 4– 2 4 7 61 7 85 14 14 Step III : Subtract the Hundreds: We are left with 5 hundred. We subtract 4 hundred from 5 hundred. 5 – 4 = 17 6 5 4– 2 4 7 65 1 7 85 14 14Step IV : Subtract Thousand:7 – 2 = 5ClassworkSubtract the following:(a) Th H T O4 3 2 1– 3 0 1 0(b) Th H T O8 7 6 5– 3 6 3 2(c) Th H T O6 8 3 2– 5 7 3 1(d) Th H T O5 7 4 7– 1 4 2 5(e) Th H T O8 7 5 5– 2 3 4 3(f) Th H T O9 8 7 4– 3 7 5 3Sometimes we need to borrow the digits.Can I borrow Rs. 20 from you?
Acme Mathematics-4 91(g) Th H T O7 9 5 3– 1 4 3 2(h) Th H T O9 6 7 3– 8 3 4 1(i) Th H T O8 5 3 2– 4 5 3 2(j) Th H T O6 7 8 9– 4 5 3 5(k) Th H T O7 4 3 2– 4 1 3 0(l) Th H T O8 7 6 5– 8 4 5 3Exercise 2.111. Subtract the following:(a) 9 6 2 1– 1 2 3 4(b) 6 5 4 2– 3 4 2 7(c) 9 5 8 6– 4 0 9 8(d) 7 6 3 2– 1 3 7 4(e) 6 8 3 2– 2 4 9 5(f) 8 7 6 5– 6 6 8 8(g) 1 9 7 8– 1 0 8 9(h) 8 4 0 3– 4 3 6 5(i) 8 6 2 1– 6 5 3 42. Subtract the following:(a) 7 4 8 9– 4 6 8 4(b) 7 9 3 8– 4 6 6 6(c) 5 8 3 7– 3 2 1 6(d) 8 4 9 5– 5 2 3 9(e) 4 8 3 7– 2 5 2 8(f) 7 3 1 9– 4 6 8 6
92 Acme Mathematics-4C. Word Problems on subtractionThere are 3456 students in the school. If 2289 students have passed their exam, how many students have failed ?1167 students have failed.Classwork1. Out of 1436 children, 1380 loves to watch cartoons. How many children do not like cartoon?2. There are 1199 parrots in the jungle. 100 of them flew away from there. How many parrots are left there.3. Dad had Rs. 67000 in his bank account. He bought a new TV for Rs. 55975. How much money is now left with him?4. 5055 people attended a concert. 3487 people loved it a lot. How many people did not like it?5. A factory produced 9870 light bulbs this month. 2361 light bulbs got wasted because they were faulty. How many are not faulty?Exercise 2.12Solve the following problems:1. There were 3456 students in a school. If 1269 of them were failed how many were passed?2. There were 9318 cows on the farm. 6839 of them died. How many were left in the farm?Th H T O3 4 5 6– 2 2 8 91 1 6 7These problems won't be a problem if you do them my way!
Acme Mathematics-4 933. There were 6784 apples in a store. 1234 apples were sold. How many were left?4. There were 5643 people in a village. 1247 of them were children. How many were others?5. There were 8632 red and green marbles in a shop. If 5397 were red, how many were green?6. Aman bought a TV for Rs. 3500. If he has only Rs. 2674, how much more he needs to pay?7. Tom had 9780 stamps. He gave 5078 away. How many were left with him?8. A box had red and blue balls. If there were 8945 balls and 4298 were blue, how many were red?9. 1496 people went to the circus. If 1197 bought sweets, how many did not buy sweets?10. Sangita bought a mobile set for Rs. 3421. She gave Rs. 40000, how much is returned to her?
94 Acme Mathematics-4D. Simplification on Addition and SubtractionAdd or subtract as indicated, and then colour the rabbit's path to its cave. The rabbit follows trees with sums that have a 3 in the tens place.687+ 143727+ 204584– 146564– 125148+ 132486+ 250497+ 236470+ 289952– 219845– 486604– 266 657– 594Activity
Acme Mathematics-4 95When combining addition and subtraction we follow these rules. If addition and subtraction are given together, we must add first and then subtract. If there are numbers enclosed within brackets, these are operated first.(a) Simplify : 123 + 432 –321Solution: 123 + 432 – 321= 555 – 321= 234(b) Simplify : (453 – 350) + 653Solution: (453 – 350) + 653= 103 + 653= 756Exercise 2.13Simplify the following:(a) 496 + 351 + 639 (b) 218 + 347 + 521(c) 614 + 498 – 100 (d) 985 + 202 – 543(e) 298 + 100 – 5 90 (f) (832 – 140) + 296(g) (215 – 181) + 497 (h) (328 + 100) – 469(i) (685 – 139) + 938 (j) (421 – 120) + 324Subtraction of 5-digit NumbersA. Subtraction without borrowingLet us do subtraction of 5-digit numbers.Subtract 13420 from 87654.T TH TH H T O8 7 6 5 4– 1 3 4 2 07 4 2 3 4MinuendSubtrahendDifferenceThe result which we get after subtraction is called difference.The smaller number is always subtracted from the greater number.As you have learnt earlier, the following two steps are taken to subtract one number from another.
96 Acme Mathematics-4Step – I Arrange the given numbers in columns, ones under ones, tens under tens, hundreds under hundreds and so on.Step – II Beginning with the ones, we go on subtracting column wise .6 5 4 3 2– 1 4 2 0 15 1 2 3 1MinuendSubtrahendDifferenceB. Subtraction with borrowing4 145 7 6 5 4– 3 2 7 7 6Step ISubtract the ones:We cannot subtract 6 ones from 4 ones.So, we borrow 1 ten.1 ten + 4 ones = 14 ones. 14 – 6 = 8 8Sometimes weneed to borrowStep IISubtract the tens:We are left with 4 tens and we cannot subtract 7 tens from 4 tens. So, borrow 1 hundred.1 hundred + 4 tens = 14 tens14 tens – 7 tens = 7 tens.5 14 145 7 6 5 4– 3 2 7 7 67 85 14 145 7 6 5 4– 3 2 7 7 6Step IIISubtract the hundreds:We are left with 5 hundreds. We cannot subtract 7 hundreds from 5 hundreds. So, borrow 1 thousand1 thousand + 5 hundred = 15 hundred15 hundred – 7 hundred = 8 hundred8 7 8Step IVSubtract thousands:6 thousand – 2 thousand = 4 thousandStep VSubtract ten thousands:5 ten thousand – 3 ten thousand = 2 ten thousand 2 4 8 7 8Th H T O6 15 14 145 7 6 5 4– 3 2 7 7 6
Acme Mathematics-4 97Classwork1. Complete the table.4 tens + 5 ones 4 – 1 = 3 tens 1 ten + 5 ones = 15 ones7 tens + 1 one7 ten + 9 one5 tens + 2 ones9 tens + 8 ones2. Fill in the blanks.3 hundred + 2 tens 2 hundred 12 tens4 hundred + 7 tens 3 hundred6 hundred + 4 tens 14 tens9 hundred + 1 ten5 hundred 15 tens3. Complete the table.9 thousand + 3 hundred 8 thousand 13 hundred6 thousand + 4 hundred6 thousand = 6 hundred4 thousand + 1 hundred1 thousandExercise 2.141. Subtract the following:(a) 8 7 6 5 4– 7 1 4 3 2 (b) 9 8 2 6 7– 2 3 0 4 4 (c) 8 9 7 2 5– 2 5 2 0 5 (d) 6 8 9 4 3– 5 2 4 0 0 (e) 5 3 9 8 7– 5 2 8 7 2 (f) 6 8 9 4 9– 5 7 4 2 0
98 Acme Mathematics-4(g) 7 6 3 8 9– 2 4 0 4 6 (h) 4 3 2 1 0– 3 3 2 1 0 (i) 6 7 2 9 4– 4 6 2 8 4 (j) 4 7 1 7 4– 2 4 1 5 2 (k) 7 2 6 7 2– 2 1 4 6 0 (l) 8 3 9 9 4– 5 2 4 9 4 (m) 8 6 4 7 5– 4 3 2 1 4 (n) 8 3 7 4 3– 1 2 6 1 3 (o) 4 8 6 7 5– 2 6 0 4 2 (p) 9 2 9 4 4– 4 0 7 3 4 (q) 8 7 6 5 4– 6 1 4 3 0 (r) 7 5 8 6 3– 4 1 6 6 2 2. Subtract the following:(a) (b) (c) (d)(e) (f) (g) (h)3. Subtract the following:(a) (b) (c)(d) (e) (f)4. Subtract the following.(a) (b) 9 6 7 2 1– 8 4 8 3 4 8 6 5 4 2– 3 5 6 6 7 9 5 8 6 3– 3 3 8 9 8 7 7 6 3 2– 6 5 9 7 4 6 8 4 6 3– 2 8 9 7 9 8 4 7 8 6– 6 3 6 9 8 5 2 5 7 3– 1 1 0 8 4 8 7 3 4 0– 2 5 4 3 6 8 2 5 4 3– 4 3 6 6 7 6 7 8 9 4– 4 9 9 9 5 5 9 0 3 8– 3 9 1 3 9 4 8 3 7 5– 2 5 2 8 5 7 3 1 8 7– 4 8 8 8 9 8 2 9 0 0– 4 6 8 0 0Remember! When zero is subtracted from a number, the answer is always the number itself. 8 0 0 0 0– 1 2 3 4 5 4 0 0 0 0– 3 4 5 6 7
Acme Mathematics-4 99(c) (d)5. Replace the dot (•) by the number.(a) (b) (c) (d)Key Words Used in Subtraction's Word Problemsdifferencebetweentake awayreduce fewertake fromminussubtractdecreaseWord Problems on SubtractionStudy the given examples.Example 1 : There are 3456 students in school. If 2567 students have passed the examination, how many students are failed?Solution : This problem is related to substraction.Now,889 students are failed. 9 0 0 0 0– 8 9 9 9 9 6 0 0 0 0– 4 5 6 7 0 6 8 9 – 2 3 6 6 4 5 3 8 4 2 – 4 5 9 3 3 6 0 4 6 6 6 – 1 8 7 6 6 7 0 8 4 9 – 2 6 3 0 2 8 8 9 2 13 14 16 3 4 5 6 – 2 5 6 7 0 8 8 9
100 Acme Mathematics-4Example 2 : How much is 6700 more than 4966 ?Solution : This problem is related to subtraction.Now,6700 is 1734 more than 4966.Exercise 2.15Solve the following problems:1. There were 34567 students in 1000 schools. If 16789 failed, how many passed?2. There were 93180 cows on a big farm. 68300 of them died. How many were left in the farm?3. There were 67778 apples in a store. 48979 apples were sold. How many were left?4. There were 35643 people in a town. 15247 of them were children. How many were others?5. There were 875632 green marbles in a factory. If 165397 green marbles were sold, how many were left?6. A man bought a bus for Rs 983500. If he paid only Rs 302674 at the time of buying, how much has he still left to pay?7. Toran had 79280 stamps. He gave 59828 away to his friend. How many were left with him?8. A factory had red and blue balls. If there were 88956 balls and 46598 were blue, how many were red?Remember! Which is large, while subtracting? 5 16 9 10 6 7 0 0 – 4 9 6 6 1 7 3 4