Multiplying, dividing and mixed operations · Ages 9–10

Reordering and regrouping factors worksheet

Part of: Multiplying and dividing by two digits; divisibility

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Multiplying, dividing and mixed operations · Ages 9–10

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

13.A shop buys 125 cartons of kites. Each carton holds 8, and each costs $32. How much does the shop pay?
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Answer:
14.A fleet has 25 coaches. Each carries at most 54 people a trip and makes 4 trips a day. At most how many people can the fleet carry in a day?
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Answer:
15.A hall has 76 rows of chairs, 25 in each row. How many chairs are there?
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16.A box holds 57 chocolates, and 4 boxes make a carton. Ka-lok's company orders 25 cartons. How many chocolates is that?
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Answer:
17.A shop buys 125 cartons of notebooks. Each carton holds 8, and each costs $39. How much does the shop pay?
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18.A box holds 16 chocolates, and 4 boxes make a carton. Ming's company orders 25 cartons. How many chocolates is that?
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Answer:

Show the answers and working

Reordering and regrouping factors worksheet: Answers and working

1. 1800
Which two of the three numbers multiply to a round number? Multiply that pair first.
Change the order and multiply 25 and 4 first: 25 × 4 = 100. Then times 18 gives 1800.
2. 96000
Which two of the three numbers multiply to a round number? Multiply that pair first.
Change the order and multiply 125 and 8 first: 125 × 8 = 1000. Then times 96 gives 96000.
3. 17, 1700
68 splits into 4 × □. First think: 4 times what makes 68?
68 = 4 × 17, so 25 × 68 = 25 × 4 × 17. Work out 25 × 4 first, then times 17: 1700.
4. 5, 5000
40 splits into 8 × □. First think: 8 times what makes 40?
40 = 8 × 5, so 125 × 40 = 125 × 8 × 5. Work out 125 × 8 first, then times 5: 5000.
5. 6000
Split 48 into 8 × another number, work out 125 × 8 first, then multiply by what's left.
Split 48 into 8 × 6: 125 × 8 × 6 = 1000 × 6 = 6000.
6. 3700
Split 148 into 4 × another number, work out 25 × 4 first, then multiply by what's left.
Split 148 into 4 × 37: 25 × 4 × 37 = 100 × 37 = 3700.

7. C. 25 × 4
Multiplying can be done in any order. Look for two numbers that make a round number.
25 × 4 = 100, a round number, and then times 67 is easy.
8. A. 25 × 4
Multiplying can be done in any order. Look for two numbers that make a round number.
25 × 4 = 100, a round number, and then times 17 is easy.
9. False
Multiplying can be done in any order. What is 4 × 25? Compare it with 29.
Reorder and multiply 25 × 4 = 100 first, so 4 × 79 × 25 = 79 × 100. Adding 25 and 4 is wrong.
10. B. 75 × 100
Multiplying can be done in any order: multiply 25 and 4 first, then see which one matches.
Reorder: 25 × 4 = 100, so 25 × 75 × 4 = 75 × 100.
11. True
Multiplying can be done in any order. What is 4 × 25? Compare it with 100.
Reorder and multiply 25 × 4 = 100 first, so 4 × 83 × 25 = 83 × 100. Adding 25 and 4 is wrong.
12. C. 12 × 1000
Multiplying can be done in any order: multiply 8 and 125 first, then see which one matches.
Reorder: 125 × 8 = 1000, so 8 × 12 × 125 = 12 × 1000.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 32000 dollars
You need 32 × 8 × 125. Which two numbers make a whole thousand? Multiply that pair first.
32 × 8 × 125 = 32 × 1000 = 32000: work out 8 × 125 = 1000 first.
14. 5400 people
You need 25 × 54 × 4. Change the order and multiply 25 and 4 first.
25 × 54 × 4 = 25 × 4 × 54 = 100 × 54 = 5400.
15. 1900 chairs
The chairs are 25 × 76. Split 76 into 4 × another number and do 25 × 4 first.
76 = 4 × 19: 25 × 76 = 25 × 4 × 19 = 100 × 19 = 1900.
16. 5700 chocolates
You need 57 × 4 × 25. Which two numbers make a whole hundred? Multiply that pair first.
57 × 4 × 25 = 57 × 100 = 5700: work out 4 × 25 = 100 first.
17. 39000 dollars
You need 39 × 8 × 125. Which two numbers make a whole thousand? Multiply that pair first.
39 × 8 × 125 = 39 × 1000 = 39000: work out 8 × 125 = 1000 first.
18. 1600 chocolates
You need 16 × 4 × 25. Which two numbers make a whole hundred? Multiply that pair first.
16 × 4 × 25 = 16 × 100 = 1600: work out 4 × 25 = 100 first.

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