1 © Penerbitan Pelangi Sdn. Bhd. 1. Identifying numbers with place value and digit value in ten thousands. 31 479 3 ten thousands 1 thousands 4 hundreds 7 tens 9 ones 2. Saying and writing whole numbers in numerals and words Example: Numerals : 53 287 Words : Fifty-three thousand two hundred and eighty-seven 3. A whole number is represented by a combination of a number with specific place value and digit value. Example : The number represented by the abacus below is 89 367 Number Place value Digit value 8 ten thousands 80 000 9 thousands 9 000 3 hundreds 300 6 tens 60 7 ones 7 Number partitioned according to place value and digit value: Place value : 8 ten thousands + 9 thousands + 3 hundreds + 6 tens + 7 ones Digit value : 80 000 + 9 000 + 300 + 60 + 7 4. Even numbers and odd numbers. • All even numbers are numbers from times table 2. • An even number that is divided by 2, does not have a remainder. Even numbers • An odd number that is divided by 2 has a remainder. Odd numbers 5. Estimation of a quantity is carried out based on a reference set. P 50 marbles Q Estimated 25 marbles 6. Rounding off any number based on the nearest ten to the nearest ten thousand. Method 1: The number 26 342 is nearer to the number 26 300. 26 342 26 350 26 300 26 400 Method 2: Determine the place value that will be rounded off and look at the digit on the right side. If the digit beside it is less than 5, change the digit to 0. If the digit beside it is more than 5, add 1 to the rounding digit. hundred digit beside 2 6 3 4 2 2 6 3 0 0 Name:........................................................................... Class:.............................. Date:....................... Let’s Learn! Theme 1 Numbers and Operations 1 Numbers and Operations Unit
Mathematics Year 4 Unit 1 Numbers and Operations © Penerbitan Pelangi Sdn. Bhd. 2 7. Classifying a number pattern in ascending or descending order. Example: + 5 + 5 + 5 + 5 12 345, 12 350, 12 355, 12 360, 12 365 Number pattern increases by five. 8. Addition of any two, three or four numbers. Example: 14 325 + 331 + 34 252 + 20 040 = 68 948 Ten thousands Thousands Hundreds Tens Ones 1 4 1 3 2 5 3 3 1 3 4 2 5 2 + 2 0 0 4 0 6 8 9 4 8 9. Repeated subtraction of any two numbers from a number. Example: 76 849 – 2 315 – 34 362 = 40 172 Ten thousands Thousands Hundreds Tens Ones 7 6 8 4 9 – 2 3 1 5 7 4 4 5 13 3 4 – 3 4 3 6 2 4 0 1 7 2 10. Multiplication of any number with a number up to two digits. Example: (a) 9 × 1 684 = 15 156 6 1 7 6 3 8 4 × 9 1 5 1 5 6 (b) 3 059 × 22 = 67 298 3 1 0 1 5 9 × 2 2 6 1 1 8 + 6 1 1 8 6 7 2 9 8 (c) 100 × 623 = 62 300 (d) 89 × 1 000 = 89 000 11. Division of any number with a number up to two digits. Example: (a) 65 160 ÷ 20 = 3 258 3 2 5 8 2 0 6 5 1 6 0 6 0 5 1 – 4 0 1 1 6 – 1 0 0 1 6 0 – 1 6 0 0 (b) 16 951 ÷ 9 = 1 883 remainder 4 1 8 8 3 9 1 6 9 5 1 9 7 9 – 7 2 7 5 – 7 2 3 1 – 2 7 4 remainder (c) 47 000 ÷ 100 = 470 (d) 62 000 ÷ 1 000 = 62 12. Combined operations of addition and subtraction or multiplication and division. Example: (a) 1 730 + 5 658 – 2 294 = 5 094 (b) 23 765 ÷ 35 × 18 = 12 222 13. The use of unknowns in the addition and subtraction operations. Example: Puan Fatimah bought 20 pencils and a few pens. The total number of pencils and pens is 35. The unknown for the situation above is the number of pens.
Mathematics Year 4 Unit 1 Numbers and Operations 3 © Penerbitan Pelangi Sdn. Bhd. 1 Instruction: Answer all the questions. 1.1 Number values Textbooks / page 1 - 8 1. Write 42 539 in words. PL 1 [1 mark] 2. Write “eighty thousand four hundred and five” in numerals. PL 1 [1 mark] 3. Write the smallest number that can be formed from the digits 8, 0, 4, 2 and 1. PL 2 [2 marks] 4. The diagram shows four number cards. 3 8 0 5 Partition the number cards according to the digit value. PL 2 [2 marks] 5. The diagram shows the order of the numbers in ascending order. 27 065, X, 27 265, 27 365 What is the value of X? PL 3 [2 marks] 6. 4 ten thousands + 7 hundreds + 2 ones = What is the value in the box? PL 2 [2 marks] 1.2 Even numbers and odd numbers Textbook / page 9 - 10 7. The diagram shows a few number cards. 53 592 54 581 58 004 59 010 State the odd number. PL 2 [1 mark] 1.3 Estimation Textbook / page 13 - 14 8. The diagram below shows the number of books inside box P. The number of books in box Q is not shown. Box P 10 books Box Q Estimate the number of books in box Q. PL 3 [2 marks]
Mathematics Year 4 Unit 1 Numbers and Operations © Penerbitan Pelangi Sdn. Bhd. 4 1.4 Round off numbers Textbook / page 15 - 17 9. Round off 73 398 to the nearest thousand. PL 3 [1 mark] 10. Round off RM47 085 to the nearest hundred. PL 3 [1 mark] 1.5 Number patterns Textbook / page 11 - 12 11. The diagram shows an arrangement of numbers cards. 75 251 75 301 75 351 75 401 What is the number pattern that is formed from the above arrangement? PL 3 [2 marks] 12. 10 358 20 358 X 40 358 50 358 Determine the value of X. PL 3 [2 marks] 13. The diagram shows a number line. 64 165 65 215 X Determine the value of X in the number line above. PL 3 [2 marks] 1.6 Basic operations within 100 000 Textbook / page 18 - 27 ; 30 - 43 14. 78 433 + 19 hundreds = PL 3 [2 marks] 15. The diagram shows a number line. 18 305 M 19 305 N O 20 805 Find the total of M + N – O. PL 3 [3 marks] 16. The balance between a number X and 39 665 is 18 935. Calculate the value of X. PL 3 [2 marks]
Mathematics Year 4 Unit 1 Numbers and Operations 5 © Penerbitan Pelangi Sdn. Bhd. 17. The diagram shows a number line. P 33 478 42 678 Q Calculate the value of Q – P. PL 3 [2 marks] 18. 9 000 – 78 – 866 = PL 3 [2 marks] 19. 73 187 – 948 – = 35 790 What number must be written in the empty box? PL 3 [2 marks] 20. 7 × 873 = PL 3 [2 marks] 21. Calculate the product of 26 and 278. PL 3 [2 marks] 22. 8 × P = 8 ten thousands What is the value of P? PL 3 [2 marks] 23. 65 000 ÷ 100 = 65 × M Calculate the value of M. PL 3 [2 marks] 24. 168 hundreds ÷ 14 = PL 3 [2 marks] 25. Round off 16 379 to the nearest thousand and then divide that number with 4. PL 3 [2 marks] 1.7 Mixed operations Textbook / page 28 - 29 ; 44 - 47 26. 18 020 + 95 tens – 9 637 = PL 3 [2 marks] 27. 89 318 – + 16 089 = 56 533 What is the value missing from the box? PL 3 [2 marks] 28. 550 × 100 ÷ 25 = PL 3 [2 marks]
Mathematics Year 4 Unit 1 Numbers and Operations © Penerbitan Pelangi Sdn. Bhd. 6 29. 27 610 ÷ 55 × 4 = PL 3 [2 marks] 1.8 Usage of unknown Textbook / page 22 - 27 30. 46 – p = 19 Find the value of p. PL 3 [2 marks] 31. m + 68 = 87 Calculate the value of m. PL 3 [2 marks] 1.9 Problem solving Textbook / page 48 - 59 32. The table shows the sales of three types of canned food in a supermarket. Type of food Quantity Sardine 252 Tuna 2 times the amount of sardine Baked beans 3 times the amount of tuna Calculate the total of all the three types of canned food sold. PL 4 [3 marks] 33. About 67 600 cars were sold in January. In February, the sales of the car reduced by 6 913. Calculate the number of cars sold in February. PL 4 [2 marks] 34. The total production of chickens in a farm is 51 600. The chickens are sent to 24 markets. Calculate the number of chickens received by each market. PL 4 [2 marks] 35. A clothing factory produces 47 030 T-shirts in a month. 19 267 of them are red coloured. Find the number of non-red coloured T-shirts. PL 4 [2 marks] 36. The diagram below shows the number of marbles in three bottles. HOTS Analysing Bottle A 550 Bottle B 5 times of bottle A Bottle C 8 times of bottle B Calculate the number of marbles in bottle C. PL 4 [3 marks]
Mathematics Year 4 Unit 1 Numbers and Operations 7 © Penerbitan Pelangi Sdn. Bhd. 2 Instruction: Answer all the questions. 1. The table shows the types of bread produced by a bakery in a day. Type of bread Number Chocolate flavour 10 006 Vanilla flavour 1 245 more than the chocolate flavour Strawberry flavour 723 less than vanilla flavour (a) Calculate the number of strawberry flavoured breads. PL 3 [3 marks] (b) Calculate the total number of breads produced by the bakery in 3 days. PL 3 [3 marks] (c) The bakery produces 55 thousand pieces of bread. A total of 864 pieces of bread were ruined and cannot be sold. The number of breads that are still good is rounded off to the nearest thousand. How many loaves are still good? PL 4 [3 marks] (d) The bakery bought 680 egg trays as shown in the diagram. 25 eggs The eggs are distributed to 20 dough mixer machines. Calculate the number of eggs used in each dough mixer. PL 4 [3 marks]
Mathematics Year 4 Unit 1 Numbers and Operations © Penerbitan Pelangi Sdn. Bhd. 8 Section A 1. The diagram shows a number card. 72 065 (a) The digit in the tens place is . (b) Partition the numbers on the card according to the place value. [3 marks] 2. 50 000 – 87 – 598 = [2 marks] 3. The table below shows the number of bread produced by a factory in June, July and August. HOTS Analysing Month Numbers June Z July 1 200 more than the numbers in June August 800 more than the numbers in July Calculate the number of bread produced in the month of June if the total production of bread is 15 800. [3 marks] 4. Azra is thinking of a number. The number has digit values of 70 000 and 300. The number is an even number Azra What possible number is Azra thinking of? HOTS Applying [2 marks] 5. The diagram below shows four number cards. 71 043 74 013 73 401 71 034 (a) State the digit value of the underlined digit. (b) Calculate the difference between the biggest number and the smallest number. [3 marks] Instruction: Answer all the questions. Summative Practice 1
Mathematics Year 4 Unit 1 Numbers and Operations 9 © Penerbitan Pelangi Sdn. Bhd. Section B 1. The table shows the number of books borrowed between January and April in a library. Month Number of books January 13 555 February March 10 400 April 1 547 books less than January (a) The number of books borrowed in May is twice the number of books borrowed in April. How many books were borrowed in May? [3 marks] (b) It is given that the total number of books borrowed during the four months is 52 650 books. Calculate the number of books borrowed in February. [3 marks] (c) A total of 67 935 people visit the library in a week. Calculate the number of visitors in 10 days. [3 marks] (d) It is estimated that 850 books were not returned within 10 days. Estimate the number of books not returned in 60 days? [3 marks]
Mathematics Year 4 Unit 1 Numbers and Operations © Penerbitan Pelangi Sdn. Bhd. 10 1. The diagram below shows the number cards in 2 boxes. 47 560 80 000 63 488 12 540 95 214 26 300 54 620 72 063 Box A Box B • You are asked to remove one card each from Box A and Box B. • Place the number cards on a manila card next to each other like the one shown below. • Compare the values of the two cards. • Write ‘bigger than’ or ‘smaller than’. • Repeat the steps above till the boxes run out of cards. • Display the completed work on the class notice board alongside the completed work of other classmates. Classmates will then comment on your work. Example of work results: Box A Box B 47 560 smaller than 54 620 80 000 bigger than 72 063 63 488 bigger than 26 300 12 540 smaller than 95 214 Gallery Walk Gamified HOTS Practice 1 Quiz 1 PAK-21 Activity
A1 © Penerbitan Pelangi Sdn. Bhd. Unit 1 Numbers and Operations 1 1. Forty-two thousand five hundred and thirty-nine 2. 80 405 3. 10 248 4. 3 000 + 800 + 5 5. 27 165 6. 40 702 7. 54 581 8. 30 9. 73 000 10. 47 100 11. Ascending order by fifty 12. 30 358 13. 69 415 14. 81 333 15. 18 305 16. 58 600 17. 13 800 18. 8 056 19. 36 449 20. 6 111 21. 7 228 22. 1 000 23. 10 24. 1 200 25. 4 000 26. 9 333 27. 48 874 28. 2 200 29. 2 008 30. 27 31. 19 32. 2 268 33. 60 687 34. 2 150 35. 27 763 36. 14 080 2 1. (a) Number of vanilla flavoured breads = 10 006 + 1 245 = 11 251 Number of strawberry flavoured breads = 11 251 – 723 = 10 528 (b) Sum of breads = 10 006 + 11 251 + 10 528 = 31 785 31785 × 3 = 95 355 (c) 55 000 – 864 = 54 136 Number of good breads = 54 000 (Rounded off to the nearest thousand) (d) 680 × 25 = 17 000 17 000 ÷20 = 850 Summative Practice 1 Section A 1. (a) 6 (b) 7 ten thousands + 2 thousands + 0 hundreds + 6 tens + 5 ones 2. 49 315 3. 4 200 4. 70 300 5. (a) 70 000 (b) 2 979 Section B 1. (a) Number of books borrowed in April 13 555 – 1 547 = 12 008 Number of books borrowed in May 12 008 × 2 = 24 016 (b) 52 650 – 13 555 – 12 008 – 10 400 = 16 687 (c) 67 935 ÷ 7 = 9 705 9 705 × 10 = 97 050 (d) 850 ÷ 10 = 85 85 × 60 = 5 100 books Unit 2 Fractions, Decimals and Percentages 1 1. 17 7 2. 2 5 6 3. 3 8 9 4. 2 1 10 5. 3 1 5 6. 13 9 Answers