Here are the step-by-step solutions for each problem on the worksheet. Remember to follow the order of operations: do parentheses first, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
1. $(25 + 5) \times 3 - 13$
* First, solve inside the parentheses: $25 + 5 = 30$.
* Now the problem is: $30 \times 3 - 13$.
* Next, do the multiplication: $30 \times 3 = 90$.
* Finally, subtract: $90 - 13 = 77$.
2. $19 + 12 \times 2 - 4$
* First, do the multiplication: $12 \times 2 = 24$.
* Now the problem is: $19 + 24 - 4$.
* Add from left to right: $19 + 24 = 43$.
* Finally, subtract: $43 - 4 = 39$.
3. $42 + 32 \div 4$
* First, do the division: $32 \div 4 = 8$.
* Now the problem is: $42 + 8$.
* Add them together: $42 + 8 = 50$.
4. $12 + 34 \times 2 \div 2$
* Do multiplication and division from left to right. First, multiply: $34 \times 2 = 68$.
* Now divide that result by 2: $68 \div 2 = 34$.
* Finally, add the 12: $12 + 34 = 46$.
5. $(4 + 3) \times (2 + 5)$
* Solve both sets of parentheses first.
* First part: $4 + 3 = 7$.
* Second part: $2 + 5 = 7$.
* Now multiply the results: $7 \times 7 = 49$.
6. $2 + 14 \times 5 - 5$
* First, do the multiplication: $14 \times 5 = 70$.
* Now the problem is: $2 + 70 - 5$.
* Add from left to right: $2 + 70 = 72$.
* Finally, subtract: $72 - 5 = 67$.
7. $22 + 4 \times 5 - 13$
* First, do the multiplication: $4 \times 5 = 20$.
* Now the problem is: $22 + 20 - 13$.
* Add from left to right: $22 + 20 = 42$.
* Finally, subtract: $42 - 13 = 29$.
8. $13 - 42 \div 7 + 2$
* First, do the division: $42 \div 7 = 6$.
* Now the problem is: $13 - 6 + 2$.
* Subtract from left to right: $13 - 6 = 7$.
* Finally, add: $7 + 2 = 9$.
9. $15 + 2 - 14 \div 7$
* First, do the division: $14 \div 7 = 2$.
* Now the problem is: $15 + 2 - 2$.
* Add from left to right: $15 + 2 = 17$.
* Finally, subtract: $17 - 2 = 15$.
10. $(18 - 7) \times 2$
* First, solve inside the parentheses: $18 - 7 = 11$.
* Now the problem is: $11 \times 2$.
* Multiply: $11 \times 2 = 22$.
Final Answer:
1. 77
2. 39
3. 50
4. 46
5. 49
6. 67
7. 29
8. 9
9. 15
10. 22
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheets with answers.
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