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Multiplication as Scaling — Easy Worksheet 1
Grade 5 · MathSheets Name: ____________________ Date: __________
Answer each question. Use the size of the factors; you do not need to multiply unless asked.
How to solve
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Example
Without multiplying, compare using >, <, or =: 1 56 × 49 ___ 49
Answer: >
Not quite. The answer is
💡 34 is less than 1 (3 is less than 4), so multiplying 23 by it gives less than 23: 34 × 23 < 23.
✓ Correct!
Not quite. The answer is
💡 34 is less than 1 (3 is less than 4), so multiplying 23 by it gives less than 23: 34 × 23 < 23.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 10 × 12 ___ 10
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 1 23 is greater than 1 (it is 1 and some more), so 1 23 × 55 is greater than 55. The answer is greater.
✓ Correct!
Not quite. The answer is
💡 1 23 is greater than 1 (it is 1 and some more), so 1 23 × 55 is greater than 55. The answer is greater.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 27 × 15 ___ 15
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply 38 × 24. First find 18 of 24: 24 ÷ 8 = 3. Then take 3 of those parts: 3 × 3 = 9. 38 is less than 1, so the answer is less than 24. The answer is 9 meters.
✓ Correct!
Not quite. The answer is
💡 Multiply 38 × 24. First find 18 of 24: 24 ÷ 8 = 3. Then take 3 of those parts: 3 × 3 = 9. 38 is less than 1, so the answer is less than 24. The answer is 9 meters.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 41 × 56 ___ 41
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 1 13 is greater than 1 (it is 1 and some more), so multiplying 19 by it gives more than 19: 19 × 1 13 > 19.
✓ Correct!
Not quite. The answer is
💡 1 13 is greater than 1 (it is 1 and some more), so multiplying 19 by it gives more than 19: 19 × 1 13 > 19.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 41 × 1 12 ___ 41
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 32 is greater than 1 (3 is more than 2), so multiplying 44 by it gives more than 44: 32 × 44 > 44.
✓ Correct!
Not quite. The answer is
💡 32 is greater than 1 (3 is more than 2), so multiplying 44 by it gives more than 44: 32 × 44 > 44.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 56 × 23 ___ 56
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 12 is less than 1 (1 is less than 2), so 12 × 16 is less than 16. The answer is less.
✓ Correct!
Not quite. The answer is
💡 12 is less than 1 (1 is less than 2), so 12 × 16 is less than 16. The answer is less.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 7 × 74 ___ 7
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply 137 × 7. First find 17 of 7: 7 ÷ 7 = 1. Then take 13 of those parts: 13 × 1 = 13. 137 is greater than 1, so the answer is more than 7. The answer is 13 cups.
✓ Correct!
Not quite. The answer is
💡 Multiply 137 × 7. First find 17 of 7: 7 ÷ 7 = 1. Then take 13 of those parts: 13 × 1 = 13. 137 is greater than 1, so the answer is more than 7. The answer is 13 cups.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 32 × 17 ___ 17
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 32 is greater than 1 (3 is more than 2), so multiplying 14 by it gives more than 14: 14 × 32 > 14.
✓ Correct!
Not quite. The answer is
💡 32 is greater than 1 (3 is more than 2), so multiplying 14 by it gives more than 14: 14 × 32 > 14.
💡 How to solve: Multiplication as Scaling
Multiplying a number by a fraction greater than 1 gives a product greater than the number; by a fraction less than 1 gives a product less than the number; by a fraction equal to 1 (like 44) leaves it the same. To compare two products with the same number, compare the other factors.
Try a similar one
Without multiplying, compare using >, <, or =: 15 × 1 27 ___ 15
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Multiplication as Scaling — Easy Worksheet 1
Answer each question. Use the size of the factors; you do not need to multiply unless asked.