Multiplication and Division Worksheets with Answer Key - Free Printable
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Step-by-step solution for: Multiplication and Division Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication and Division Worksheets with Answer Key
Let's solve each of the multiplication and division problems step by step.
---
We'll compute each product using standard long multiplication.
---
#### 1. 323 × 232
Break it down:
```
323
× 232
-----
646 ← 323 × 2
9690 ← 323 × 30
64600 ← 323 × 200
-------
74,836
```
✔ Answer: 74,836
---
#### 2. 802 × 917
Break it down:
```
802
× 917
-----
5614 ← 802 × 7
8020 ← 802 × 10
721800 ← 802 × 900
--------
736,534
```
✔ Answer: 736,534
---
#### 3. 652 × 312
Break it down:
```
652
× 312
-----
1304 ← 652 × 2
6520 ← 652 × 10
195600 ← 652 × 300
--------
203,424
```
✔ Answer: 203,424
---
#### 4. 541 × 434
Break it down:
```
541
× 434
-----
2164 ← 541 × 4
16230 ← 541 × 30
216400 ← 541 × 400
--------
234,194
```
✔ Answer: 234,194
---
#### 5. 462 × 578
Break it down:
```
462
× 578
-----
3696 ← 462 × 8
32340 ← 462 × 70
231000 ← 462 × 500
--------
267,036
```
✔ Answer: 267,036
---
#### 6. 659 × 728
Break it down:
```
659
× 728
-----
5272 ← 659 × 8
13180 ← 659 × 20
461300 ← 659 × 700
--------
479,752
```
✔ Answer: 479,752
---
#### 7. 604 × 350
Note: 350 = 35 × 10 → multiply 604 × 35, then add a zero.
First, 604 × 35:
```
604
× 35
----
3020 ← 604 × 5
18120 ← 604 × 30
------
21,140
```
Now ×10 → 211,400
✔ Answer: 211,400
---
#### 8. 702 × 198
Note: 198 = 200 - 2 → Use distributive property:
702 × 198 = 702 × (200 - 2) = 702×200 - 702×2
= 140,400 - 1,404 = 138,996
✔ Answer: 138,996
---
We’ll use long division for each.
---
#### 9. 5502 ÷ 21
Divide:
- 21 into 55 → 2 times (2×21=42), subtract: 55−42=13
- Bring down 0 → 130
- 21 into 130 → 6 times (6×21=126), subtract: 130−126=4
- Bring down 2 → 42
- 21 into 42 → 2 times (2×21=42), remainder 0
So: 262
✔ Answer: 262
---
#### 10. 7392 ÷ 32
Divide:
- 32 into 73 → 2 times (2×32=64), subtract: 73−64=9
- Bring down 9 → 99
- 32 into 99 → 3 times (3×32=96), subtract: 99−96=3
- Bring down 2 → 32
- 32 into 32 → 1 time (1×32=32), remainder 0
So: 231
✔ Answer: 231
---
#### 11. 3648 ÷ 24
Divide:
- 24 into 36 → 1 time (1×24=24), subtract: 36−24=12
- Bring down 4 → 124
- 24 into 124 → 5 times (5×24=120), subtract: 124−120=4
- Bring down 8 → 48
- 24 into 48 → 2 times (2×24=48), remainder 0
So: 152
✔ Answer: 152
---
#### 12. 5575 ÷ 25
Divide:
- 25 into 55 → 2 times (2×25=50), subtract: 55−50=5
- Bring down 7 → 57
- 25 into 57 → 2 times (2×25=50), subtract: 57−50=7
- Bring down 5 → 75
- 25 into 75 → 3 times (3×25=75), remainder 0
So: 223
✔ Answer: 223
---
#### 13. 5350 ÷ 25
Divide:
- 25 into 53 → 2 times (2×25=50), subtract: 53−50=3
- Bring down 5 → 35
- 25 into 35 → 1 time (1×25=25), subtract: 35−25=10
- Bring down 0 → 100
- 25 into 100 → 4 times (4×25=100), remainder 0
So: 214
✔ Answer: 214
---
#### 14. 3740 ÷ 40
Simplify: divide numerator and denominator by 10 → 374 ÷ 4
Now divide:
- 4 into 37 → 9 times (9×4=36), subtract: 37−36=1
- Bring down 4 → 14
- 4 into 14 → 3 times (3×4=12), subtract: 14−12=2
- Bring down 0 → 20
- 4 into 20 → 5 times (5×4=20), remainder 0
So: 93.5 → but since we divided by 10 earlier, actually:
Wait — original is 3740 ÷ 40
We can do:
3740 ÷ 40 = 374 ÷ 4 = 93.5
But let’s check: 40 × 93 = 3720, 3740 − 3720 = 20 → so 93 + 20/40 = 93.5
But since it's likely expecting whole number or decimal:
✔ Answer: 93.5
Alternatively, as a fraction: 93½
But in decimal form: 93.5
---
#### 15. 3618 ÷ 18
Divide:
- 18 into 36 → 2 times (2×18=36), subtract: 36−36=0
- Bring down 1 → 1
- 18 into 1 → 0 times → write 0
- Bring down 8 → 18
- 18 into 18 → 1 time (1×18=18), remainder 0
So: 201
✔ Answer: 201
---
#### 16. 5016 ÷ 19
Divide:
- 19 into 50 → 2 times (2×19=38), subtract: 50−38=12
- Bring down 1 → 121
- 19 into 121 → 6 times (6×19=114), subtract: 121−114=7
- Bring down 6 → 76
- 19 into 76 → 4 times (4×19=76), remainder 0
So: 264
✔ Answer: 264
---
| Problem | Answer |
|--------|-------------|
| 1 | 74,836 |
| 2 | 736,534 |
| 3 | 203,424 |
| 4 | 234,194 |
| 5 | 267,036 |
| 6 | 479,752 |
| 7 | 211,400 |
| 8 | 138,996 |
| 9 | 262 |
| 10 | 231 |
| 11 | 152 |
| 12 | 223 |
| 13 | 214 |
| 14 | 93.5 |
| 15 | 201 |
| 16 | 264 |
---
Let me know if you'd like these explained with full long division or multiplication steps!
---
Multiplication Problems (1–8)
We'll compute each product using standard long multiplication.
---
#### 1. 323 × 232
Break it down:
```
323
× 232
-----
646 ← 323 × 2
9690 ← 323 × 30
64600 ← 323 × 200
-------
74,836
```
✔ Answer: 74,836
---
#### 2. 802 × 917
Break it down:
```
802
× 917
-----
5614 ← 802 × 7
8020 ← 802 × 10
721800 ← 802 × 900
--------
736,534
```
✔ Answer: 736,534
---
#### 3. 652 × 312
Break it down:
```
652
× 312
-----
1304 ← 652 × 2
6520 ← 652 × 10
195600 ← 652 × 300
--------
203,424
```
✔ Answer: 203,424
---
#### 4. 541 × 434
Break it down:
```
541
× 434
-----
2164 ← 541 × 4
16230 ← 541 × 30
216400 ← 541 × 400
--------
234,194
```
✔ Answer: 234,194
---
#### 5. 462 × 578
Break it down:
```
462
× 578
-----
3696 ← 462 × 8
32340 ← 462 × 70
231000 ← 462 × 500
--------
267,036
```
✔ Answer: 267,036
---
#### 6. 659 × 728
Break it down:
```
659
× 728
-----
5272 ← 659 × 8
13180 ← 659 × 20
461300 ← 659 × 700
--------
479,752
```
✔ Answer: 479,752
---
#### 7. 604 × 350
Note: 350 = 35 × 10 → multiply 604 × 35, then add a zero.
First, 604 × 35:
```
604
× 35
----
3020 ← 604 × 5
18120 ← 604 × 30
------
21,140
```
Now ×10 → 211,400
✔ Answer: 211,400
---
#### 8. 702 × 198
Note: 198 = 200 - 2 → Use distributive property:
702 × 198 = 702 × (200 - 2) = 702×200 - 702×2
= 140,400 - 1,404 = 138,996
✔ Answer: 138,996
---
Division Problems (9–16)
We’ll use long division for each.
---
#### 9. 5502 ÷ 21
Divide:
- 21 into 55 → 2 times (2×21=42), subtract: 55−42=13
- Bring down 0 → 130
- 21 into 130 → 6 times (6×21=126), subtract: 130−126=4
- Bring down 2 → 42
- 21 into 42 → 2 times (2×21=42), remainder 0
So: 262
✔ Answer: 262
---
#### 10. 7392 ÷ 32
Divide:
- 32 into 73 → 2 times (2×32=64), subtract: 73−64=9
- Bring down 9 → 99
- 32 into 99 → 3 times (3×32=96), subtract: 99−96=3
- Bring down 2 → 32
- 32 into 32 → 1 time (1×32=32), remainder 0
So: 231
✔ Answer: 231
---
#### 11. 3648 ÷ 24
Divide:
- 24 into 36 → 1 time (1×24=24), subtract: 36−24=12
- Bring down 4 → 124
- 24 into 124 → 5 times (5×24=120), subtract: 124−120=4
- Bring down 8 → 48
- 24 into 48 → 2 times (2×24=48), remainder 0
So: 152
✔ Answer: 152
---
#### 12. 5575 ÷ 25
Divide:
- 25 into 55 → 2 times (2×25=50), subtract: 55−50=5
- Bring down 7 → 57
- 25 into 57 → 2 times (2×25=50), subtract: 57−50=7
- Bring down 5 → 75
- 25 into 75 → 3 times (3×25=75), remainder 0
So: 223
✔ Answer: 223
---
#### 13. 5350 ÷ 25
Divide:
- 25 into 53 → 2 times (2×25=50), subtract: 53−50=3
- Bring down 5 → 35
- 25 into 35 → 1 time (1×25=25), subtract: 35−25=10
- Bring down 0 → 100
- 25 into 100 → 4 times (4×25=100), remainder 0
So: 214
✔ Answer: 214
---
#### 14. 3740 ÷ 40
Simplify: divide numerator and denominator by 10 → 374 ÷ 4
Now divide:
- 4 into 37 → 9 times (9×4=36), subtract: 37−36=1
- Bring down 4 → 14
- 4 into 14 → 3 times (3×4=12), subtract: 14−12=2
- Bring down 0 → 20
- 4 into 20 → 5 times (5×4=20), remainder 0
So: 93.5 → but since we divided by 10 earlier, actually:
Wait — original is 3740 ÷ 40
We can do:
3740 ÷ 40 = 374 ÷ 4 = 93.5
But let’s check: 40 × 93 = 3720, 3740 − 3720 = 20 → so 93 + 20/40 = 93.5
But since it's likely expecting whole number or decimal:
✔ Answer: 93.5
Alternatively, as a fraction: 93½
But in decimal form: 93.5
---
#### 15. 3618 ÷ 18
Divide:
- 18 into 36 → 2 times (2×18=36), subtract: 36−36=0
- Bring down 1 → 1
- 18 into 1 → 0 times → write 0
- Bring down 8 → 18
- 18 into 18 → 1 time (1×18=18), remainder 0
So: 201
✔ Answer: 201
---
#### 16. 5016 ÷ 19
Divide:
- 19 into 50 → 2 times (2×19=38), subtract: 50−38=12
- Bring down 1 → 121
- 19 into 121 → 6 times (6×19=114), subtract: 121−114=7
- Bring down 6 → 76
- 19 into 76 → 4 times (4×19=76), remainder 0
So: 264
✔ Answer: 264
---
✔ Final Answers:
| Problem | Answer |
|--------|-------------|
| 1 | 74,836 |
| 2 | 736,534 |
| 3 | 203,424 |
| 4 | 234,194 |
| 5 | 267,036 |
| 6 | 479,752 |
| 7 | 211,400 |
| 8 | 138,996 |
| 9 | 262 |
| 10 | 231 |
| 11 | 152 |
| 12 | 223 |
| 13 | 214 |
| 14 | 93.5 |
| 15 | 201 |
| 16 | 264 |
---
Let me know if you'd like these explained with full long division or multiplication steps!
Parent Tip: Review the logic above to help your child master the concept of 5 grade math division worksheet.