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Multiplication as Scaling — Easy Worksheet 2
Grade 5 · Whoobee 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
💡 1 56 is greater than 1 (it is 1 and some more), so multiplying 40 by it gives more than 40: 1 56 × 40 > 40.
✓ Correct!
Not quite. The answer is
💡 1 56 is greater than 1 (it is 1 and some more), so multiplying 40 by it gives more than 40: 1 56 × 40 > 40.
💡 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 =: 1 34 × 18 ___ 18
✓ 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
💡 97 is greater than 1 (9 is more than 7), so 97 × 11 is greater than 11. The answer is greater.
✓ Correct!
Not quite. The answer is
💡 97 is greater than 1 (9 is more than 7), so 97 × 11 is greater than 11. 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 =: 7 × 1 13 ___ 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 98 × 16. First find 18 of 16: 16 ÷ 8 = 2. Then take 9 of those parts: 9 × 2 = 18. 98 is greater than 1, so the answer is more than 16. The answer is 18 meters.
✓ Correct!
Not quite. The answer is
💡 Multiply 98 × 16. First find 18 of 16: 16 ÷ 8 = 2. Then take 9 of those parts: 9 × 2 = 18. 98 is greater than 1, so the answer is more than 16. The answer is 18 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 =: 56 × 43 ___ 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
💡 1 15 is greater than 1 (it is 1 and some more), so multiplying 46 by it gives more than 46: 1 15 × 46 > 46.
✓ Correct!
Not quite. The answer is
💡 1 15 is greater than 1 (it is 1 and some more), so multiplying 46 by it gives more than 46: 1 15 × 46 > 46.
💡 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 =: 34 × 37 ___ 34
✓ 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
💡 54 is greater than 1 (5 is more than 4), so multiplying 23 by it gives more than 23: 23 × 54 > 23.
✓ Correct!
Not quite. The answer is
💡 54 is greater than 1 (5 is more than 4), so multiplying 23 by it gives more than 23: 23 × 54 > 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 =: 26 × 1 56 ___ 26
✓ 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
💡 74 is greater than 1 (7 is more than 4), so 74 × 47 is greater than 47. The answer is greater.
✓ Correct!
Not quite. The answer is
💡 74 is greater than 1 (7 is more than 4), so 74 × 47 is greater than 47. 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 =: 28 × 74 ___ 28
✓ 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 45 × 20. First find 15 of 20: 20 ÷ 5 = 4. Then take 4 of those parts: 4 × 4 = 16. 45 is less than 1, so the answer is less than 20. The answer is 16 meters.
✓ Correct!
Not quite. The answer is
💡 Multiply 45 × 20. First find 15 of 20: 20 ÷ 5 = 4. Then take 4 of those parts: 4 × 4 = 16. 45 is less than 1, so the answer is less than 20. The answer is 16 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 =: 1 12 × 58 ___ 58
✓ 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
💡 74 is greater than 1 (7 is more than 4), so multiplying 57 by it gives more than 57: 74 × 57 > 57.
✓ Correct!
Not quite. The answer is
💡 74 is greater than 1 (7 is more than 4), so multiplying 57 by it gives more than 57: 74 × 57 > 57.
💡 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 =: 47 × 1 25 ___ 47
✓ 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 2
Answer each question. Use the size of the factors; you do not need to multiply unless asked.