Four Basic Operations worksheet - Free Printable

Let's solve each section of the Math Quiz step by step.

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I. ADDITION

We'll add the numbers column by column, starting from the rightmost digit (ones place).

1. 2,650 + 559
```
2,650
+ 559
-------
3,209
```
- 0 + 9 = 9
- 5 + 5 = 10 → write 0, carry 1
- 6 + 5 + 1 = 12 → write 2, carry 1
- 2 + 0 + 1 = 3

✔ Answer: 3,209

2. 1,566 + 2,656
```
1,566
+ 2,656
-------
4,222
```
- 6 + 6 = 12 → write 2, carry 1
- 6 + 5 + 1 = 12 → write 2, carry 1
- 5 + 6 + 1 = 12 → write 2, carry 1
- 1 + 2 + 1 = 4

✔ Answer: 4,222

3. 5,043 + 8,127
```
5,043
+ 8,127
-------
13,170
```
- 3 + 7 = 10 → write 0, carry 1
- 4 + 2 + 1 = 7
- 0 + 1 = 1
- 5 + 8 = 13

✔ Answer: 13,170

4. 8,953 + 5,878
```
8,953
+ 5,878
-------
14,831
```
- 3 + 8 = 11 → write 1, carry 1
- 5 + 7 + 1 = 13 → write 3, carry 1
- 9 + 8 + 1 = 18 → write 8, carry 1
- 8 + 5 + 1 = 14

✔ Answer: 14,831

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II. SUBTRACTION

Subtract the bottom number from the top number.

1. 813 - 591
```
813
- 591
-----
222
```
- 3 - 1 = 2
- 1 - 9 → can't do, borrow: 11 - 9 = 2, but 8 becomes 7
- 7 - 5 = 2

✔ Answer: 222

2. 971 - 97
```
971
- 97
-----
874
```
- 1 - 7 → can't do, borrow: 11 - 7 = 4, 7 becomes 6
- 6 - 9 → can't do, borrow: 16 - 9 = 7, 9 becomes 8
- 8 - 0 = 8

✔ Answer: 874

3. 645 - 229
```
645
- 229
-----
416
```
- 5 - 9 → can't do, borrow: 15 - 9 = 6, 4 becomes 3
- 3 - 2 = 1
- 6 - 2 = 4

✔ Answer: 416

4. 598 - 59
```
598
- 59
-----
539
```
- 8 - 9 → can't do, borrow: 18 - 9 = 9, 9 becomes 8
- 8 - 5 = 3
- 5 - 0 = 5

✔ Answer: 539

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III. MULTIPLICATION

Multiply the numbers using standard algorithm.

1. 539 × 31
Break it down:
- 539 × 1 = 539
- 539 × 30 = 539 × 3 × 10 = 1,617 × 10 = 16,170
Now add:
```
539
+16,170
-------
16,709
```

✔ Answer: 16,709

2. 153 × 20
Multiply by 2 and then add a zero:
- 153 × 2 = 306
- 306 × 10 = 3,060

✔ Answer: 3,060

3. 254 × 97
Use distributive property:
254 × 97 = 254 × (100 - 3) = 254×100 - 254×3 = 25,400 - 762 = 24,638

Let's verify:
- 254 × 90 = 254 × 9 × 10 = 2,286 × 10 = 22,860
- 254 × 7 = 1,778
- Add: 22,860 + 1,778 = 24,638

✔ Answer: 24,638

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IV. DIVISION

Use long division.

1. 269 ÷ 4
```
67 R1
------
4 | 269
-24
---
29
-28
---
1
```
- 4 goes into 26 six times → 6×4=24, subtract → 2
- Bring down 9 → 29
- 4 goes into 29 seven times → 7×4=28, subtract → 1

✔ Answer: 67 R1 or 67.25

2. 326 ÷ 5
```
65 R1
------
5 | 326
-30
---
26
-25
---
1
```
- 5 goes into 32 six times → 6×5=30, subtract → 2
- Bring down 6 → 26
- 5 goes into 26 five times → 5×5=25, subtract → 1

✔ Answer: 65 R1 or 65.2

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✔ Final Answers:

#### I. ADDITION
1. 2,650 + 559 = 3,209
2. 1,566 + 2,656 = 4,222
3. 5,043 + 8,127 = 13,170
4. 8,953 + 5,878 = 14,831

#### II. SUBTRACTION
1. 813 - 591 = 222
2. 971 - 97 = 874
3. 645 - 229 = 416
4. 598 - 59 = 539

#### III. MULTIPLICATION
1. 539 × 31 = 16,709
2. 153 × 20 = 3,060
3. 254 × 97 = 24,638

#### IV. DIVISION
1. 269 ÷ 4 = 67 R1 (or 67.25)
2. 326 ÷ 5 = 65 R1 (or 65.2)

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