Multiplicative comparison worksheet for 4th-grade math, focusing on completing equations using given numbers.
Practice sheet for 4.OA.1 math standard, featuring multiplicative comparison problems with blanks to fill in the correct numbers.
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Step-by-step solution for: Multiplicative Comparison worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Multiplicative Comparison worksheet
Let's solve each problem on the "Complete the Multiplicative Comparison" practice sheet step by step.
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We are looking for a number that makes the statement true using multiplication.
#### Example:
24 is ___ times as many as 3
→ $ 24 ÷ 3 = 8 $ → So, 8 times
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1. 44 is ___ times as many as 4
→ $ 44 ÷ 4 = 11 $
✔ Answer: 11
---
2. ___ is 12 times as many as 3
→ $ 12 × 3 = 36 $
✔ Answer: 36
---
3. 63 is 7 times as many as ___
→ $ 63 ÷ 7 = 9 $
✔ Answer: 9
---
4. ___ is 5 times as many as 8
→ $ 5 × 8 = 40 $
✔ Answer: 40
---
5. 30 is ___ times as many as 6
→ $ 30 ÷ 6 = 5 $
✔ Answer: 5
---
6. 28 is 7 times as many as ___
→ $ 28 ÷ 7 = 4 $
✔ Answer: 4
---
7. ___ is 12 times as many as 7
→ $ 12 × 7 = 84 $
✔ Answer: 84
---
8. 16 is ___ times as many as 4
→ $ 16 ÷ 4 = 4 $
✔ Answer: 4
---
1. 11
2. 36
3. 9
4. 40
5. 5
6. 4
7. 84
8. 4
---
We need to pick two numbers from the box so that one is a certain multiple of the other.
---
Example:
___ is 9 times as many as ___
→ From the list: 3, 36, 5, 6, 27, 40
→ Try: $ 27 ÷ 3 = 9 $ → So, 27 is 9 times as many as 3
✔ Answer: 27 is 9 times as many as 3
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9. ___ is 10 times as many as ___
Available numbers: 6, 50, 7, 60, 4, 80
Look for pairs where one number is 10× the other:
- $ 6 × 10 = 60 $ → 60 is 10 times as many as 6
- $ 8 × 10 = 80 $ → but 8 not in list
- $ 5 × 10 = 50 $ → 5 not in list
- $ 4 × 10 = 40 $ → 40 not in list
So only valid pair: 60 is 10 times as many as 6
✔ Answer: 60 is 10 times as many as 6
---
10. 72 is ___ times as many as ___
Available: 12, 9, 8, 7, 11, 4
Try dividing 72 by each:
- $ 72 ÷ 12 = 6 $ → 72 is 6 times as many as 12
- $ 72 ÷ 9 = 8 $ → 72 is 8 times as many as 9
- $ 72 ÷ 8 = 9 $
- $ 72 ÷ 4 = 18 $
But we need to use the numbers in the box, and fill both blanks.
Check which combinations work:
- 72 is 6 times as many as 12
- 72 is 8 times as many as 9
- 72 is 9 times as many as 8
- 72 is 18 times as many as 4
All are mathematically correct, but likely only one is expected.
Let’s see what fits best with common multiples.
Most straightforward:
✔ 72 is 8 times as many as 9 (since 8×9=72)
OR
✔ 72 is 9 times as many as 8 → same thing
But since it says “is ___ times as many as ___”, we can write either.
But let’s check if both numbers are in the list: yes, 8 and 9 are there.
Best answer:
✔ 72 is 8 times as many as 9
(Or 72 is 9 times as many as 8) — both are correct, but usually we go smaller → larger.
Let’s go with:
✔ 72 is 8 times as many as 9
Wait:
If 72 is 8 times as many as 9 → $ 8 × 9 = 72 $ → correct.
Alternatively, 72 is 9 times as many as 8 → $ 9 × 8 = 72 $ → also correct.
But "times as many as" means:
A is X times as many as B → A = X × B
So:
- If 72 is 8 times as many as 9 → 72 = 8 × 9 → yes ✔
- If 72 is 9 times as many as 8 → 72 = 9 × 8 → yes ✔
Both are valid.
But since both 8 and 9 are in the list, either works.
Let’s choose:
✔ 72 is 8 times as many as 9
---
11. ___ is ___ times as many as 2
Available: 15, 22, 8, 18, 12, 11
Find which number is a multiple of 2.
Try multiplying 2 by each:
- 2 × 8 = 16 → not in list
- 2 × 9 = 18 → 18 is in list → so 18 is 9 times as many as 2
- 2 × 6 = 12 → 12 is in list → 12 is 6 times as many as 2
- 2 × 11 = 22 → 22 is in list → 22 is 11 times as many as 2
- 2 × 7 = 14 → not in list
- 2 × 15 = 30 → no
So possible answers:
- 18 is 9 times as many as 2
- 12 is 6 times as many as 2
- 22 is 11 times as many as 2
Any of these are valid.
Let’s pick 22 is 11 times as many as 2 because 22 is in the list.
✔ Answer: 22 is 11 times as many as 2
---
12. ___ is 6 times as many as ___
Available: 48, 9, 8, 56, 7, 36
We need: A = 6 × B
Try multiplying 6 by each number in the list:
- 6 × 8 = 48 → 48 is in list → 48 is 6 times as many as 8
- 6 × 6 = 36 → 36 is in list → 36 is 6 times as many as 6 → but 6 not in list
- 6 × 7 = 42 → not in list
- 6 × 9 = 54 → not in list
Only valid: 48 is 6 times as many as 8
✔ Answer: 48 is 6 times as many as 8
---
13. ___ is 9 times as many as ___
Available: 6, 18, 3, 36, 2, 45
Try: 9 × ?
- 9 × 3 = 27 → not in list
- 9 × 4 = 36 → 36 is in list → so 36 is 9 times as many as 4 → but 4 not in list
- 9 × 5 = 45 → 45 is in list → 45 is 9 times as many as 5 → but 5 not in list
- 9 × 2 = 18 → 18 is in list → 18 is 9 times as many as 2 → 2 is in list!
Yes! 9 × 2 = 18
So: 18 is 9 times as many as 2
Also check: 9 × 3 = 27 → not in list
9 × 6 = 54 → not in list
9 × 4 = 36 → 36 is in list → 36 is 9 times as many as 4 → 4 not in list
So only valid: 18 is 9 times as many as 2
✔ Answer: 18 is 9 times as many as 2
---
14. 35 is ___ times as many as ___
Available: 7, 12, 8, 5, 3, 9
We need: 35 = X × Y → where Y is in list
Try dividing 35 by each:
- 35 ÷ 5 = 7 → 7 is in list → 35 is 7 times as many as 5
- 35 ÷ 7 = 5 → 5 is in list → 35 is 5 times as many as 7
So both are valid:
- 35 is 7 times as many as 5
- 35 is 5 times as many as 7
But the sentence is: 35 is ___ times as many as ___
So we can say:
- 35 is 7 times as many as 5 → $ 7 × 5 = 35 $
- Or 35 is 5 times as many as 7 → $ 5 × 7 = 35 $
Either works.
But typically we use smaller number first.
Let’s pick:
✔ 35 is 7 times as many as 5
---
#### Part 1:
1. 11
2. 36
3. 9
4. 40
5. 5
6. 4
7. 84
8. 4
#### Part 2:
9. 60 is 10 times as many as 6
10. 72 is 8 times as many as 9
11. 22 is 11 times as many as 2
12. 48 is 6 times as many as 8
13. 18 is 9 times as many as 2
14. 35 is 7 times as many as 5
---
| Problem | Answer |
|--------|--------|
| 1 | 11 |
| 2 | 36 |
| 3 | 9 |
| 4 | 40 |
| 5 | 5 |
| 6 | 4 |
| 7 | 84 |
| 8 | 4 |
| 9 | 60 is 10 times as many as 6 |
| 10 | 72 is 8 times as many as 9 |
| 11 | 22 is 11 times as many as 2 |
| 12 | 48 is 6 times as many as 8 |
| 13 | 18 is 9 times as many as 2 |
| 14 | 35 is 7 times as many as 5 |
Let me know if you'd like this formatted for printing or as a filled-in worksheet!
---
Part 1: Fill in the blank to make each multiplicative comparison true.
We are looking for a number that makes the statement true using multiplication.
#### Example:
24 is ___ times as many as 3
→ $ 24 ÷ 3 = 8 $ → So, 8 times
---
1. 44 is ___ times as many as 4
→ $ 44 ÷ 4 = 11 $
✔ Answer: 11
---
2. ___ is 12 times as many as 3
→ $ 12 × 3 = 36 $
✔ Answer: 36
---
3. 63 is 7 times as many as ___
→ $ 63 ÷ 7 = 9 $
✔ Answer: 9
---
4. ___ is 5 times as many as 8
→ $ 5 × 8 = 40 $
✔ Answer: 40
---
5. 30 is ___ times as many as 6
→ $ 30 ÷ 6 = 5 $
✔ Answer: 5
---
6. 28 is 7 times as many as ___
→ $ 28 ÷ 7 = 4 $
✔ Answer: 4
---
7. ___ is 12 times as many as 7
→ $ 12 × 7 = 84 $
✔ Answer: 84
---
8. 16 is ___ times as many as 4
→ $ 16 ÷ 4 = 4 $
✔ Answer: 4
---
✔ Part 1 Answers:
1. 11
2. 36
3. 9
4. 40
5. 5
6. 4
7. 84
8. 4
---
Part 2: Complete each multiplicative comparison using the numbers provided.
We need to pick two numbers from the box so that one is a certain multiple of the other.
---
Example:
___ is 9 times as many as ___
→ From the list: 3, 36, 5, 6, 27, 40
→ Try: $ 27 ÷ 3 = 9 $ → So, 27 is 9 times as many as 3
✔ Answer: 27 is 9 times as many as 3
---
9. ___ is 10 times as many as ___
Available numbers: 6, 50, 7, 60, 4, 80
Look for pairs where one number is 10× the other:
- $ 6 × 10 = 60 $ → 60 is 10 times as many as 6
- $ 8 × 10 = 80 $ → but 8 not in list
- $ 5 × 10 = 50 $ → 5 not in list
- $ 4 × 10 = 40 $ → 40 not in list
So only valid pair: 60 is 10 times as many as 6
✔ Answer: 60 is 10 times as many as 6
---
10. 72 is ___ times as many as ___
Available: 12, 9, 8, 7, 11, 4
Try dividing 72 by each:
- $ 72 ÷ 12 = 6 $ → 72 is 6 times as many as 12
- $ 72 ÷ 9 = 8 $ → 72 is 8 times as many as 9
- $ 72 ÷ 8 = 9 $
- $ 72 ÷ 4 = 18 $
But we need to use the numbers in the box, and fill both blanks.
Check which combinations work:
- 72 is 6 times as many as 12
- 72 is 8 times as many as 9
- 72 is 9 times as many as 8
- 72 is 18 times as many as 4
All are mathematically correct, but likely only one is expected.
Let’s see what fits best with common multiples.
Most straightforward:
✔ 72 is 8 times as many as 9 (since 8×9=72)
OR
✔ 72 is 9 times as many as 8 → same thing
But since it says “is ___ times as many as ___”, we can write either.
But let’s check if both numbers are in the list: yes, 8 and 9 are there.
Best answer:
✔ 72 is 8 times as many as 9
(Or 72 is 9 times as many as 8) — both are correct, but usually we go smaller → larger.
Let’s go with:
✔ 72 is 8 times as many as 9
Wait:
If 72 is 8 times as many as 9 → $ 8 × 9 = 72 $ → correct.
Alternatively, 72 is 9 times as many as 8 → $ 9 × 8 = 72 $ → also correct.
But "times as many as" means:
A is X times as many as B → A = X × B
So:
- If 72 is 8 times as many as 9 → 72 = 8 × 9 → yes ✔
- If 72 is 9 times as many as 8 → 72 = 9 × 8 → yes ✔
Both are valid.
But since both 8 and 9 are in the list, either works.
Let’s choose:
✔ 72 is 8 times as many as 9
---
11. ___ is ___ times as many as 2
Available: 15, 22, 8, 18, 12, 11
Find which number is a multiple of 2.
Try multiplying 2 by each:
- 2 × 8 = 16 → not in list
- 2 × 9 = 18 → 18 is in list → so 18 is 9 times as many as 2
- 2 × 6 = 12 → 12 is in list → 12 is 6 times as many as 2
- 2 × 11 = 22 → 22 is in list → 22 is 11 times as many as 2
- 2 × 7 = 14 → not in list
- 2 × 15 = 30 → no
So possible answers:
- 18 is 9 times as many as 2
- 12 is 6 times as many as 2
- 22 is 11 times as many as 2
Any of these are valid.
Let’s pick 22 is 11 times as many as 2 because 22 is in the list.
✔ Answer: 22 is 11 times as many as 2
---
12. ___ is 6 times as many as ___
Available: 48, 9, 8, 56, 7, 36
We need: A = 6 × B
Try multiplying 6 by each number in the list:
- 6 × 8 = 48 → 48 is in list → 48 is 6 times as many as 8
- 6 × 6 = 36 → 36 is in list → 36 is 6 times as many as 6 → but 6 not in list
- 6 × 7 = 42 → not in list
- 6 × 9 = 54 → not in list
Only valid: 48 is 6 times as many as 8
✔ Answer: 48 is 6 times as many as 8
---
13. ___ is 9 times as many as ___
Available: 6, 18, 3, 36, 2, 45
Try: 9 × ?
- 9 × 3 = 27 → not in list
- 9 × 4 = 36 → 36 is in list → so 36 is 9 times as many as 4 → but 4 not in list
- 9 × 5 = 45 → 45 is in list → 45 is 9 times as many as 5 → but 5 not in list
- 9 × 2 = 18 → 18 is in list → 18 is 9 times as many as 2 → 2 is in list!
Yes! 9 × 2 = 18
So: 18 is 9 times as many as 2
Also check: 9 × 3 = 27 → not in list
9 × 6 = 54 → not in list
9 × 4 = 36 → 36 is in list → 36 is 9 times as many as 4 → 4 not in list
So only valid: 18 is 9 times as many as 2
✔ Answer: 18 is 9 times as many as 2
---
14. 35 is ___ times as many as ___
Available: 7, 12, 8, 5, 3, 9
We need: 35 = X × Y → where Y is in list
Try dividing 35 by each:
- 35 ÷ 5 = 7 → 7 is in list → 35 is 7 times as many as 5
- 35 ÷ 7 = 5 → 5 is in list → 35 is 5 times as many as 7
So both are valid:
- 35 is 7 times as many as 5
- 35 is 5 times as many as 7
But the sentence is: 35 is ___ times as many as ___
So we can say:
- 35 is 7 times as many as 5 → $ 7 × 5 = 35 $
- Or 35 is 5 times as many as 7 → $ 5 × 7 = 35 $
Either works.
But typically we use smaller number first.
Let’s pick:
✔ 35 is 7 times as many as 5
---
✔ Final Answers:
#### Part 1:
1. 11
2. 36
3. 9
4. 40
5. 5
6. 4
7. 84
8. 4
#### Part 2:
9. 60 is 10 times as many as 6
10. 72 is 8 times as many as 9
11. 22 is 11 times as many as 2
12. 48 is 6 times as many as 8
13. 18 is 9 times as many as 2
14. 35 is 7 times as many as 5
---
✔ Summary of All Answers:
| Problem | Answer |
|--------|--------|
| 1 | 11 |
| 2 | 36 |
| 3 | 9 |
| 4 | 40 |
| 5 | 5 |
| 6 | 4 |
| 7 | 84 |
| 8 | 4 |
| 9 | 60 is 10 times as many as 6 |
| 10 | 72 is 8 times as many as 9 |
| 11 | 22 is 11 times as many as 2 |
| 12 | 48 is 6 times as many as 8 |
| 13 | 18 is 9 times as many as 2 |
| 14 | 35 is 7 times as many as 5 |
Let me know if you'd like this formatted for printing or as a filled-in worksheet!
Parent Tip: Review the logic above to help your child master the concept of multiplicative comparison problems 4th grade worksheet.