Math worksheet with addition, subtraction, multiplication, and division exercises.
A math worksheet featuring addition, subtraction, multiplication, and division problems with numbers and operations clearly displayed.
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Step-by-step solution for: Addition Subtraction Multiplication Division Worksheets with ...
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Show Answer Key & Explanations
Step-by-step solution for: Addition Subtraction Multiplication Division Worksheets with ...
Problem: Solve the given addition, subtraction, multiplication, and division problems.
#### Step 1: Addition
We will solve each addition problem step by step.
1. 363 + 125
```
363
+ 125
-----
488
```
- Add the units place: \(3 + 5 = 8\)
- Add the tens place: \(6 + 2 = 8\)
- Add the hundreds place: \(3 + 1 = 4\)
Result: \(363 + 125 = 488\)
2. 273 + 351
```
273
+ 351
-----
624
```
- Add the units place: \(3 + 1 = 4\)
- Add the tens place: \(7 + 5 = 12\) (write 2, carry 1)
- Add the hundreds place: \(2 + 3 + 1 = 6\)
Result: \(273 + 351 = 624\)
3. 958 + 345
```
958
+ 345
-----
1303
```
- Add the units place: \(8 + 5 = 13\) (write 3, carry 1)
- Add the tens place: \(5 + 4 + 1 = 10\) (write 0, carry 1)
- Add the hundreds place: \(9 + 3 + 1 = 13\) (write 3, carry 1)
- Add the thousands place: \(1\) (carry from hundreds)
Result: \(958 + 345 = 1303\)
4. 428 + 239
```
428
+ 239
-----
667
```
- Add the units place: \(8 + 9 = 17\) (write 7, carry 1)
- Add the tens place: \(2 + 3 + 1 = 6\)
- Add the hundreds place: \(4 + 2 = 6\)
Result: \(428 + 239 = 667\)
#### Step 2: Subtraction
We will solve each subtraction problem step by step.
1. 562 - 280
```
562
- 280
-----
282
```
- Subtract the units place: \(2 - 0 = 2\)
- Subtract the tens place: \(6 - 8\) (borrow 1 from hundreds, making it \(16 - 8 = 8\))
- Subtract the hundreds place: \(5 - 1 - 2 = 2\)
Result: \(562 - 280 = 282\)
2. 623 - 245
```
623
- 245
-----
378
```
- Subtract the units place: \(3 - 5\) (borrow 1 from tens, making it \(13 - 5 = 8\))
- Subtract the tens place: \(2 - 1 - 4 = 7\) (borrow 1 from hundreds, making it \(12 - 4 = 8\))
- Subtract the hundreds place: \(6 - 1 - 2 = 3\)
Result: \(623 - 245 = 378\)
3. 125 - 109
```
125
- 109
-----
16
```
- Subtract the units place: \(5 - 9\) (borrow 1 from tens, making it \(15 - 9 = 6\))
- Subtract the tens place: \(2 - 1 - 0 = 1\)
- Subtract the hundreds place: \(1 - 1 = 0\)
Result: \(125 - 109 = 16\)
4. 625 - 538
```
625
- 538
-----
87
```
- Subtract the units place: \(5 - 8\) (borrow 1 from tens, making it \(15 - 8 = 7\))
- Subtract the tens place: \(2 - 1 - 3 = 8\) (borrow 1 from hundreds, making it \(12 - 3 = 9\))
- Subtract the hundreds place: \(6 - 1 - 5 = 0\)
Result: \(625 - 538 = 87\)
#### Step 3: Multiplication
We will solve each multiplication problem step by step.
1. 523 × 45
```
523
× 45
------
2615 (523 × 5)
+20920 (523 × 40, shift one position left)
------
23535
```
- Multiply 523 by 5: \(523 \times 5 = 2615\)
- Multiply 523 by 40: \(523 \times 40 = 20920\)
- Add the results: \(2615 + 20920 = 23535\)
Result: \(523 \times 45 = 23535\)
2. 720 × 19
```
720
× 19
------
6480 (720 × 9)
+ 7200 (720 × 10, shift one position left)
------
13680
```
- Multiply 720 by 9: \(720 \times 9 = 6480\)
- Multiply 720 by 10: \(720 \times 10 = 7200\)
- Add the results: \(6480 + 7200 = 13680\)
Result: \(720 \times 19 = 13680\)
3. 753 × 13
```
753
× 13
------
2259 (753 × 3)
+ 7530 (753 × 10, shift one position left)
------
9789
```
- Multiply 753 by 3: \(753 \times 3 = 2259\)
- Multiply 753 by 10: \(753 \times 10 = 7530\)
- Add the results: \(2259 + 7530 = 9789\)
Result: \(753 \times 13 = 9789\)
4. 580 × 18
```
580
× 18
------
4640 (580 × 8)
+ 5800 (580 × 10, shift one position left)
------
10440
```
- Multiply 580 by 8: \(580 \times 8 = 4640\)
- Multiply 580 by 10: \(580 \times 10 = 5800\)
- Add the results: \(4640 + 5800 = 10440\)
Result: \(580 \times 18 = 10440\)
#### Step 4: Division
We will solve each division problem step by step.
1. 9)183
```
20 R3
---------
9 | 183
-18
----
3
```
- Divide 18 by 9: \(18 \div 9 = 2\)
- Multiply 9 by 2: \(9 \times 2 = 18\)
- Subtract: \(18 - 18 = 0\)
- Bring down 3: \(3\) is the remainder
Result: \(183 \div 9 = 20\) remainder \(3\)
2. 6)960
```
160
--------
6 | 960
-6
---
36
-36
---
0
```
- Divide 9 by 6: \(9 \div 6 = 1\)
- Multiply 6 by 1: \(6 \times 1 = 6\)
- Subtract: \(9 - 6 = 3\)
- Bring down 6: \(36\)
- Divide 36 by 6: \(36 \div 6 = 6\)
- Multiply 6 by 6: \(6 \times 6 = 36\)
- Subtract: \(36 - 36 = 0\)
- Bring down 0: \(0\)
Result: \(960 \div 6 = 160\)
3. 10)158
```
15 R8
---------
10 | 158
-10
----
58
-50
----
8
```
- Divide 15 by 10: \(15 \div 10 = 1\)
- Multiply 10 by 1: \(10 \times 1 = 10\)
- Subtract: \(15 - 10 = 5\)
- Bring down 8: \(58\)
- Divide 58 by 10: \(58 \div 10 = 5\)
- Multiply 10 by 5: \(10 \times 5 = 50\)
- Subtract: \(58 - 50 = 8\)
Result: \(158 \div 10 = 15\) remainder \(8\)
4. 11)165
```
15
--------
11 | 165
-11
----
55
-55
----
0
```
- Divide 16 by 11: \(16 \div 11 = 1\)
- Multiply 11 by 1: \(11 \times 1 = 11\)
- Subtract: \(16 - 11 = 5\)
- Bring down 5: \(55\)
- Divide 55 by 11: \(55 \div 11 = 5\)
- Multiply 11 by 5: \(11 \times 5 = 55\)
- Subtract: \(55 - 55 = 0\)
Result: \(165 \div 11 = 15\)
Final Answers:
\[
\boxed{
\begin{aligned}
&\text{Addition:} & 488, 624, 1303, 667 \\
&\text{Subtraction:} & 282, 378, 16, 87 \\
&\text{Multiplication:} & 23535, 13680, 9789, 10440 \\
&\text{Division:} & 20 \text{ R } 3, 160, 15 \text{ R } 8, 15
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of addition subtraction multiplication division worksheet free.