Explanation:
We need to solve each expression using the
order of operations — remember:
Parentheses → Multiplication/Division (left to right) → Addition/Subtraction (left to right)
Also, inside parentheses, follow the same order.
Let’s solve each problem one by one carefully:
---
1) $ 8 \times (3 \times 2 - 8) + 10 $
- Inside parentheses: $3 \times 2 = 6$, then $6 - 8 = -2$
- So: $8 \times (-2) + 10 = -16 + 10 = -6$
✔ Answer:
–6
---
2) $ (16 + 2) \times (8 + 15 - 3) $
- First parentheses: $16 + 2 = 18$
- Second parentheses: $8 + 15 = 23$, then $23 - 3 = 20$
- Multiply: $18 \times 20 = 360$
✔ Answer:
360
---
3) $ (14 - 8) \times (10 + 2) + 7 $
- $14 - 8 = 6$
- $10 + 2 = 12$
- $6 \times 12 = 72$
- $72 + 7 = 79$
✔ Answer:
79
---
4) $ (9 + 34 - 3) + 4 + 3 $
- Inside parentheses: $9 + 34 = 43$, then $43 - 3 = 40$
- Then: $40 + 4 + 3 = 47$
✔ Answer:
47
---
5) $ (8 + 35 - 3) + 8 + 3 $
- Inside: $8 + 35 = 43$, $43 - 3 = 40$
- Then: $40 + 8 + 3 = 51$
✔ Answer:
51
---
6) $ (10 + 20 - 2) - (11 + 3) $
- First group: $10 + 20 = 30$, $30 - 2 = 28$
- Second group: $11 + 3 = 14$
- $28 - 14 = 14$
✔ Answer:
14
---
7) $ (8 + 56 - 4) - (8 + 2) $
- First: $8 + 56 = 64$, $64 - 4 = 60$
- Second: $8 + 2 = 10$
- $60 - 10 = 50$
✔ Answer:
50
---
8) $ (13 - 4) \times (14 + 3) - 8 $
- $13 - 4 = 9$
- $14 + 3 = 17$
- $9 \times 17 = 153$
- $153 - 8 = 145$
✔ Answer:
145
---
9) $ (9 - 5) \times (15 + 15 - 3) $
- $9 - 5 = 4$
- $15 + 15 = 30$, $30 - 3 = 27$
- $4 \times 27 = 108$
✔ Answer:
108
---
10) $ 3 \times (5 \times 9 + 5) - 4 $
- Inside parentheses: $5 \times 9 = 45$, then $45 + 5 = 50$
- $3 \times 50 = 150$
- $150 - 4 = 146$
✔ Answer:
146
Let me double-check a few tricky ones:
- #1: $3×2=6$, $6−8=−2$, $8×(−2)=−16$, $−16+10=−6$
✔
- #8: $9×17=153$, $153−8=145$
✔
- #10: $5×9=45$, $45+5=50$, $3×50=150$, $150−4=146$
✔
All correct.
Final Answer:
1) –6
2) 360
3) 79
4) 47
5) 51
6) 14
7) 50
8) 145
9) 108
10) 146
Parent Tip: Review the logic above to help your child master the concept of order of operations worksheet free.
