Printable math practice sheet for addition, subtraction, and multiplication with integers.
A math worksheet titled "Add, Subtract and Multiply (A)" with a grid of arithmetic problems involving positive and negative numbers.
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Step-by-step solution for: Mixed Operations Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Operations Math Worksheets
The image you uploaded is a math worksheet titled "Add, Subtract, and Multiply (A)." It contains a grid of numbers with operations to be performed. The task involves finding the sum, difference, or product for each row based on the given operations.
The worksheet consists of multiple rows, each containing a series of numbers and operations (+, -, ×). The goal is to compute the result for each row by following the order of operations (performing multiplication before addition or subtraction).
1. Identify the Operations: Each row has a sequence of numbers and operations.
2. Follow the Order of Operations:
- Perform multiplication first.
- Then perform addition and subtraction from left to right.
3. Compute Step-by-Step: Work through each row systematically.
Below is the step-by-step solution for each row:
---
#### Row 1:
```
5 + 12 - 8 × 4 + 9 ÷ 3 - 9 + 11
```
- First, perform multiplication and division:
- \( 8 \times 4 = 32 \)
- \( 9 \div 3 = 3 \)
- Substitute these values:
```
5 + 12 - 32 + 3 - 9 + 11
```
- Perform addition and subtraction from left to right:
- \( 5 + 12 = 17 \)
- \( 17 - 32 = -15 \)
- \( -15 + 3 = -12 \)
- \( -12 - 9 = -21 \)
- \( -21 + 11 = -10 \)
Result for Row 1: \(-10\)
---
#### Row 2:
```
9 + 7 - 9 × 5 + 5 ÷ 2 + 3 - 2 × 12 + 9
```
- First, perform multiplication and division:
- \( 9 \times 5 = 45 \)
- \( 5 \div 2 = 2.5 \)
- \( 2 \times 12 = 24 \)
- Substitute these values:
```
9 + 7 - 45 + 2.5 + 3 - 24 + 9
```
- Perform addition and subtraction from left to right:
- \( 9 + 7 = 16 \)
- \( 16 - 45 = -29 \)
- \( -29 + 2.5 = -26.5 \)
- \( -26.5 + 3 = -23.5 \)
- \( -23.5 - 24 = -47.5 \)
- \( -47.5 + 9 = -38.5 \)
Result for Row 2: \(-38.5\)
---
#### Row 3:
```
-9 + 8 × 6 + 3 - 5 ÷ 3 + 0 × 2 + 9 - 7
```
- First, perform multiplication and division:
- \( 8 \times 6 = 48 \)
- \( 5 ÷ 3 = 1.6667 \) (approximately)
- \( 0 \times 2 = 0 \)
- Substitute these values:
```
-9 + 48 + 3 - 1.6667 + 0 + 9 - 7
```
- Perform addition and subtraction from left to right:
- \( -9 + 48 = 39 \)
- \( 39 + 3 = 42 \)
- \( 42 - 1.6667 = 40.3333 \)
- \( 40.3333 + 0 = 40.3333 \)
- \( 40.3333 + 9 = 49.3333 \)
- \( 49.3333 - 7 = 42.3333 \)
Result for Row 3: \(42.33\) (approx.)
---
#### Row 4:
```
6 + 11 - 1 × 9 + 1 ÷ 0.5 + 4.5 × 2 + 7 - 2 × 9 + 12
```
- First, perform multiplication and division:
- \( 1 \times 9 = 9 \)
- \( 1 ÷ 0.5 = 2 \)
- \( 4.5 \times 2 = 9 \)
- \( 2 \times 9 = 18 \)
- Substitute these values:
```
6 + 11 - 9 + 2 + 9 + 7 - 18 + 12
```
- Perform addition and subtraction from left to right:
- \( 6 + 11 = 17 \)
- \( 17 - 9 = 8 \)
- \( 8 + 2 = 10 \)
- \( 10 + 9 = 19 \)
- \( 19 + 7 = 26 \)
- \( 26 - 18 = 8 \)
- \( 8 + 12 = 20 \)
Result for Row 4: \(20\)
---
#### Row 5:
```
1 + 2 - 6 × 8 + 2 ÷ 6 + 4 × 8 - 6 + 4 ÷ 3 + 3
```
- First, perform multiplication and division:
- \( 6 \times 8 = 48 \)
- \( 2 ÷ 6 = 0.3333 \) (approximately)
- \( 4 \times 8 = 32 \)
- \( 4 ÷ 3 = 1.3333 \) (approximately)
- Substitute these values:
```
1 + 2 - 48 + 0.3333 + 32 - 6 + 1.3333 + 3
```
- Perform addition and subtraction from left to right:
- \( 1 + 2 = 3 \)
- \( 3 - 48 = -45 \)
- \( -45 + 0.3333 = -44.6667 \)
- \( -44.6667 + 32 = -12.6667 \)
- \( -12.6667 - 6 = -18.6667 \)
- \( -18.6667 + 1.3333 = -17.3334 \)
- \( -17.3334 + 3 = -14.3334 \)
Result for Row 5: \(-14.33\) (approx.)
---
#### Row 6:
```
13 + 2 - 3 × 8 + 6 ÷ 9 - 6 × 2 + 1 - 1 ÷ 3 + 10
```
- First, perform multiplication and division:
- \( 3 \times 8 = 24 \)
- \( 6 ÷ 9 = 0.6667 \) (approximately)
- \( 6 \times 2 = 12 \)
- \( 1 ÷ 3 = 0.3333 \) (approximately)
- Substitute these values:
```
13 + 2 - 24 + 0.6667 - 12 + 1 - 0.3333 + 10
```
- Perform addition and subtraction from left to right:
- \( 13 + 2 = 15 \)
- \( 15 - 24 = -9 \)
- \( -9 + 0.6667 = -8.3333 \)
- \( -8.3333 - 12 = -20.3333 \)
- \( -20.3333 + 1 = -19.3333 \)
- \( -19.3333 - 0.3333 = -19.6666 \)
- \( -19.6666 + 10 = -9.6666 \)
Result for Row 6: \(-9.67\) (approx.)
---
#### Row 7:
```
0 + 8 × 9 - 11 + 5 ÷ 7 + 11 × 6 - 9 + 8 × 4
```
- First, perform multiplication and division:
- \( 8 \times 9 = 72 \)
- \( 5 ÷ 7 = 0.7143 \) (approximately)
- \( 11 \times 6 = 66 \)
- \( 8 \times 4 = 32 \)
- Substitute these values:
```
0 + 72 - 11 + 0.7143 + 66 - 9 + 32
```
- Perform addition and subtraction from left to right:
- \( 0 + 72 = 72 \)
- \( 72 - 11 = 61 \)
- \( 61 + 0.7143 = 61.7143 \)
- \( 61.7143 + 66 = 127.7143 \)
- \( 127.7143 - 9 = 118.7143 \)
- \( 118.7143 + 32 = 150.7143 \)
Result for Row 7: \(150.71\) (approx.)
---
#### Row 8:
```
9 + 3 × 8 - 2 + 6 ÷ 8 + 2 × 7 - 7 × 4 + 7 - 8
```
- First, perform multiplication and division:
- \( 3 \times 8 = 24 \)
- \( 6 ÷ 8 = 0.75 \)
- \( 2 \times 7 = 14 \)
- \( 7 \times 4 = 28 \)
- Substitute these values:
```
9 + 24 - 2 + 0.75 + 14 - 28 + 7 - 8
```
- Perform addition and subtraction from left to right:
- \( 9 + 24 = 33 \)
- \( 33 - 2 = 31 \)
- \( 31 + 0.75 = 31.75 \)
- \( 31.75 + 14 = 45.75 \)
- \( 45.75 - 28 = 17.75 \)
- \( 17.75 + 7 = 24.75 \)
- \( 24.75 - 8 = 16.75 \)
Result for Row 8: \(16.75\)
---
#### Row 9:
```
5 + 8 × 9 - 8 + 6 ÷ 8 + 8 × 11 + 5 ÷ 3 - 10 + 7
```
- First, perform multiplication and division:
- \( 8 \times 9 = 72 \)
- \( 6 ÷ 8 = 0.75 \)
- \( 8 \times 11 = 88 \)
- \( 5 ÷ 3 = 1.6667 \) (approximately)
- Substitute these values:
```
5 + 72 - 8 + 0.75 + 88 + 1.6667 - 10 + 7
```
- Perform addition and subtraction from left to right:
- \( 5 + 72 = 77 \)
- \( 77 - 8 = 69 \)
- \( 69 + 0.75 = 69.75 \)
- \( 69.75 + 88 = 157.75 \)
- \( 157.75 + 1.6667 = 159.4167 \)
- \( 159.4167 - 10 = 149.4167 \)
- \( 149.4167 + 7 = 156.4167 \)
Result for Row 9: \(156.42\) (approx.)
---
#### Row 10:
```
13 + 6 × 12 - 5 + 1 ÷ 9 + 10 × 0 + 9 ÷ 9 + 0 + 9
```
- First, perform multiplication and division:
- \( 6 \times 12 = 72 \)
- \( 1 ÷ 9 = 0.1111 \) (approximately)
- \( 10 \times 0 = 0 \)
- \( 9 ÷ 9 = 1 \)
- Substitute these values:
```
13 + 72 - 5 + 0.1111 + 0 + 1 + 0 + 9
```
- Perform addition and subtraction from left to right:
- \( 13 + 72 = 85 \)
- \( 85 - 5 = 80 \)
- \( 80 + 0.1111 = 80.1111 \)
- \( 80.1111 + 0 = 80.1111 \)
- \( 80.1111 + 1 = 81.1111 \)
- \( 81.1111 + 0 = 81.1111 \)
- \( 81.1111 + 9 = 90.1111 \)
Result for Row 10: \(90.11\) (approx.)
---
#### Row 11:
```
5 + 8 × 10 - 8 + 7 ÷ 4 + 7 × 4 + 5 ÷ 1 + 1 - 8
```
- First, perform multiplication and division:
- \( 8 \times 10 = 80 \)
- \( 7 ÷ 4 = 1.75 \)
- \( 7 \times 4 = 28 \)
- \( 5 ÷ 1 = 5 \)
- Substitute these values:
```
5 + 80 - 8 + 1.75 + 28 + 5 + 1 - 8
```
- Perform addition and subtraction from left to right:
- \( 5 + 80 = 85 \)
- \( 85 - 8 = 77 \)
- \( 77 + 1.75 = 78.75 \)
- \( 78.75 + 28 = 106.75 \)
- \( 106.75 + 5 = 111.75 \)
- \( 111.75 + 1 = 112.75 \)
- \( 112.75 - 8 = 104.75 \)
Result for Row 11: \(104.75\)
---
The results for each row are as follows:
1. \(-10\)
2. \(-38.5\)
3. \(42.33\) (approx.)
4. \(20\)
5. \(-14.33\) (approx.)
6. \(-9.67\) (approx.)
7. \(150.71\) (approx.)
8. \(16.75\)
9. \(156.42\) (approx.)
10. \(90.11\) (approx.)
11. \(104.75\)
$$
\boxed{-10, -38.5, 42.33, 20, -14.33, -9.67, 150.71, 16.75, 156.42, 90.11, 104.75}
$$
Worksheet Analysis
The worksheet consists of multiple rows, each containing a series of numbers and operations (+, -, ×). The goal is to compute the result for each row by following the order of operations (performing multiplication before addition or subtraction).
Solution Approach
1. Identify the Operations: Each row has a sequence of numbers and operations.
2. Follow the Order of Operations:
- Perform multiplication first.
- Then perform addition and subtraction from left to right.
3. Compute Step-by-Step: Work through each row systematically.
Detailed Solution
Below is the step-by-step solution for each row:
---
#### Row 1:
```
5 + 12 - 8 × 4 + 9 ÷ 3 - 9 + 11
```
- First, perform multiplication and division:
- \( 8 \times 4 = 32 \)
- \( 9 \div 3 = 3 \)
- Substitute these values:
```
5 + 12 - 32 + 3 - 9 + 11
```
- Perform addition and subtraction from left to right:
- \( 5 + 12 = 17 \)
- \( 17 - 32 = -15 \)
- \( -15 + 3 = -12 \)
- \( -12 - 9 = -21 \)
- \( -21 + 11 = -10 \)
Result for Row 1: \(-10\)
---
#### Row 2:
```
9 + 7 - 9 × 5 + 5 ÷ 2 + 3 - 2 × 12 + 9
```
- First, perform multiplication and division:
- \( 9 \times 5 = 45 \)
- \( 5 \div 2 = 2.5 \)
- \( 2 \times 12 = 24 \)
- Substitute these values:
```
9 + 7 - 45 + 2.5 + 3 - 24 + 9
```
- Perform addition and subtraction from left to right:
- \( 9 + 7 = 16 \)
- \( 16 - 45 = -29 \)
- \( -29 + 2.5 = -26.5 \)
- \( -26.5 + 3 = -23.5 \)
- \( -23.5 - 24 = -47.5 \)
- \( -47.5 + 9 = -38.5 \)
Result for Row 2: \(-38.5\)
---
#### Row 3:
```
-9 + 8 × 6 + 3 - 5 ÷ 3 + 0 × 2 + 9 - 7
```
- First, perform multiplication and division:
- \( 8 \times 6 = 48 \)
- \( 5 ÷ 3 = 1.6667 \) (approximately)
- \( 0 \times 2 = 0 \)
- Substitute these values:
```
-9 + 48 + 3 - 1.6667 + 0 + 9 - 7
```
- Perform addition and subtraction from left to right:
- \( -9 + 48 = 39 \)
- \( 39 + 3 = 42 \)
- \( 42 - 1.6667 = 40.3333 \)
- \( 40.3333 + 0 = 40.3333 \)
- \( 40.3333 + 9 = 49.3333 \)
- \( 49.3333 - 7 = 42.3333 \)
Result for Row 3: \(42.33\) (approx.)
---
#### Row 4:
```
6 + 11 - 1 × 9 + 1 ÷ 0.5 + 4.5 × 2 + 7 - 2 × 9 + 12
```
- First, perform multiplication and division:
- \( 1 \times 9 = 9 \)
- \( 1 ÷ 0.5 = 2 \)
- \( 4.5 \times 2 = 9 \)
- \( 2 \times 9 = 18 \)
- Substitute these values:
```
6 + 11 - 9 + 2 + 9 + 7 - 18 + 12
```
- Perform addition and subtraction from left to right:
- \( 6 + 11 = 17 \)
- \( 17 - 9 = 8 \)
- \( 8 + 2 = 10 \)
- \( 10 + 9 = 19 \)
- \( 19 + 7 = 26 \)
- \( 26 - 18 = 8 \)
- \( 8 + 12 = 20 \)
Result for Row 4: \(20\)
---
#### Row 5:
```
1 + 2 - 6 × 8 + 2 ÷ 6 + 4 × 8 - 6 + 4 ÷ 3 + 3
```
- First, perform multiplication and division:
- \( 6 \times 8 = 48 \)
- \( 2 ÷ 6 = 0.3333 \) (approximately)
- \( 4 \times 8 = 32 \)
- \( 4 ÷ 3 = 1.3333 \) (approximately)
- Substitute these values:
```
1 + 2 - 48 + 0.3333 + 32 - 6 + 1.3333 + 3
```
- Perform addition and subtraction from left to right:
- \( 1 + 2 = 3 \)
- \( 3 - 48 = -45 \)
- \( -45 + 0.3333 = -44.6667 \)
- \( -44.6667 + 32 = -12.6667 \)
- \( -12.6667 - 6 = -18.6667 \)
- \( -18.6667 + 1.3333 = -17.3334 \)
- \( -17.3334 + 3 = -14.3334 \)
Result for Row 5: \(-14.33\) (approx.)
---
#### Row 6:
```
13 + 2 - 3 × 8 + 6 ÷ 9 - 6 × 2 + 1 - 1 ÷ 3 + 10
```
- First, perform multiplication and division:
- \( 3 \times 8 = 24 \)
- \( 6 ÷ 9 = 0.6667 \) (approximately)
- \( 6 \times 2 = 12 \)
- \( 1 ÷ 3 = 0.3333 \) (approximately)
- Substitute these values:
```
13 + 2 - 24 + 0.6667 - 12 + 1 - 0.3333 + 10
```
- Perform addition and subtraction from left to right:
- \( 13 + 2 = 15 \)
- \( 15 - 24 = -9 \)
- \( -9 + 0.6667 = -8.3333 \)
- \( -8.3333 - 12 = -20.3333 \)
- \( -20.3333 + 1 = -19.3333 \)
- \( -19.3333 - 0.3333 = -19.6666 \)
- \( -19.6666 + 10 = -9.6666 \)
Result for Row 6: \(-9.67\) (approx.)
---
#### Row 7:
```
0 + 8 × 9 - 11 + 5 ÷ 7 + 11 × 6 - 9 + 8 × 4
```
- First, perform multiplication and division:
- \( 8 \times 9 = 72 \)
- \( 5 ÷ 7 = 0.7143 \) (approximately)
- \( 11 \times 6 = 66 \)
- \( 8 \times 4 = 32 \)
- Substitute these values:
```
0 + 72 - 11 + 0.7143 + 66 - 9 + 32
```
- Perform addition and subtraction from left to right:
- \( 0 + 72 = 72 \)
- \( 72 - 11 = 61 \)
- \( 61 + 0.7143 = 61.7143 \)
- \( 61.7143 + 66 = 127.7143 \)
- \( 127.7143 - 9 = 118.7143 \)
- \( 118.7143 + 32 = 150.7143 \)
Result for Row 7: \(150.71\) (approx.)
---
#### Row 8:
```
9 + 3 × 8 - 2 + 6 ÷ 8 + 2 × 7 - 7 × 4 + 7 - 8
```
- First, perform multiplication and division:
- \( 3 \times 8 = 24 \)
- \( 6 ÷ 8 = 0.75 \)
- \( 2 \times 7 = 14 \)
- \( 7 \times 4 = 28 \)
- Substitute these values:
```
9 + 24 - 2 + 0.75 + 14 - 28 + 7 - 8
```
- Perform addition and subtraction from left to right:
- \( 9 + 24 = 33 \)
- \( 33 - 2 = 31 \)
- \( 31 + 0.75 = 31.75 \)
- \( 31.75 + 14 = 45.75 \)
- \( 45.75 - 28 = 17.75 \)
- \( 17.75 + 7 = 24.75 \)
- \( 24.75 - 8 = 16.75 \)
Result for Row 8: \(16.75\)
---
#### Row 9:
```
5 + 8 × 9 - 8 + 6 ÷ 8 + 8 × 11 + 5 ÷ 3 - 10 + 7
```
- First, perform multiplication and division:
- \( 8 \times 9 = 72 \)
- \( 6 ÷ 8 = 0.75 \)
- \( 8 \times 11 = 88 \)
- \( 5 ÷ 3 = 1.6667 \) (approximately)
- Substitute these values:
```
5 + 72 - 8 + 0.75 + 88 + 1.6667 - 10 + 7
```
- Perform addition and subtraction from left to right:
- \( 5 + 72 = 77 \)
- \( 77 - 8 = 69 \)
- \( 69 + 0.75 = 69.75 \)
- \( 69.75 + 88 = 157.75 \)
- \( 157.75 + 1.6667 = 159.4167 \)
- \( 159.4167 - 10 = 149.4167 \)
- \( 149.4167 + 7 = 156.4167 \)
Result for Row 9: \(156.42\) (approx.)
---
#### Row 10:
```
13 + 6 × 12 - 5 + 1 ÷ 9 + 10 × 0 + 9 ÷ 9 + 0 + 9
```
- First, perform multiplication and division:
- \( 6 \times 12 = 72 \)
- \( 1 ÷ 9 = 0.1111 \) (approximately)
- \( 10 \times 0 = 0 \)
- \( 9 ÷ 9 = 1 \)
- Substitute these values:
```
13 + 72 - 5 + 0.1111 + 0 + 1 + 0 + 9
```
- Perform addition and subtraction from left to right:
- \( 13 + 72 = 85 \)
- \( 85 - 5 = 80 \)
- \( 80 + 0.1111 = 80.1111 \)
- \( 80.1111 + 0 = 80.1111 \)
- \( 80.1111 + 1 = 81.1111 \)
- \( 81.1111 + 0 = 81.1111 \)
- \( 81.1111 + 9 = 90.1111 \)
Result for Row 10: \(90.11\) (approx.)
---
#### Row 11:
```
5 + 8 × 10 - 8 + 7 ÷ 4 + 7 × 4 + 5 ÷ 1 + 1 - 8
```
- First, perform multiplication and division:
- \( 8 \times 10 = 80 \)
- \( 7 ÷ 4 = 1.75 \)
- \( 7 \times 4 = 28 \)
- \( 5 ÷ 1 = 5 \)
- Substitute these values:
```
5 + 80 - 8 + 1.75 + 28 + 5 + 1 - 8
```
- Perform addition and subtraction from left to right:
- \( 5 + 80 = 85 \)
- \( 85 - 8 = 77 \)
- \( 77 + 1.75 = 78.75 \)
- \( 78.75 + 28 = 106.75 \)
- \( 106.75 + 5 = 111.75 \)
- \( 111.75 + 1 = 112.75 \)
- \( 112.75 - 8 = 104.75 \)
Result for Row 11: \(104.75\)
---
Final Answer
The results for each row are as follows:
1. \(-10\)
2. \(-38.5\)
3. \(42.33\) (approx.)
4. \(20\)
5. \(-14.33\) (approx.)
6. \(-9.67\) (approx.)
7. \(150.71\) (approx.)
8. \(16.75\)
9. \(156.42\) (approx.)
10. \(90.11\) (approx.)
11. \(104.75\)
$$
\boxed{-10, -38.5, 42.33, 20, -14.33, -9.67, 150.71, 16.75, 156.42, 90.11, 104.75}
$$
Parent Tip: Review the logic above to help your child master the concept of mixed multiplication worksheet printable.