Let's solve each problem step by step, following the
order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
---
1. $ 18 + 3 - 5 + 6 \times 4 $
- First, do multiplication:
$ 6 \times 4 = 24 $
- Now substitute:
$ 18 + 3 - 5 + 24 $
- Left to right:
$ 18 + 3 = 21 $
$ 21 - 5 = 16 $
$ 16 + 24 = 40 $
✔ Answer: 40
---
2. $ 4 + 18 \div 3 $
- Division first:
$ 18 \div 3 = 6 $
- Then add:
$ 4 + 6 = 10 $
✔ Answer: 10
---
3. $ 7 + 7 \times 2 - 10 $
- Multiplication first:
$ 7 \times 2 = 14 $
- Now:
$ 7 + 14 - 10 $
- Left to right:
$ 7 + 14 = 21 $
$ 21 - 10 = 11 $
✔ Answer: 11
---
4. $ (8 + 9 + 10) + 4 \times 3 \div 2 $
- Parentheses first:
$ 8 + 9 + 10 = 27 $
- Multiplication and division (left to right):
$ 4 \times 3 = 12 $
$ 12 \div 2 = 6 $
- Now add:
$ 27 + 6 = 33 $
✔ Answer: 33
---
5. $ 2(4 + 17 - 2) + 13 $
- Inside parentheses:
$ 4 + 17 = 21 $, $ 21 - 2 = 19 $
- Multiply:
$ 2 \times 19 = 38 $
- Add 13:
$ 38 + 13 = 51 $
✔ Answer: 51
---
6. $ (8 + 11 \times 2) \div 3 + (10 + 5) $
- Inside parentheses:
- First: $ 11 \times 2 = 22 $
- $ 8 + 22 = 30 $
- So $ 30 \div 3 = 10 $
- Second parentheses: $ 10 + 5 = 15 $
- Now: $ 10 + 15 = 25 $
✔ Answer: 25
---
7. $ 25 - 7 + 6 \times 2 $
- Multiplication first:
$ 6 \times 2 = 12 $
- Now:
$ 25 - 7 + 12 $
- Left to right:
$ 25 - 7 = 18 $
$ 18 + 12 = 30 $
✔ Answer: 30
---
8. $ 100 - 25 \div 5 + 2 + (23 + 2) $
- Parentheses: $ 23 + 2 = 25 $
- Division: $ 25 \div 5 = 5 $
- Now:
$ 100 - 5 + 2 + 25 $
- Left to right:
$ 100 - 5 = 95 $
$ 95 + 2 = 97 $
$ 97 + 25 = 122 $
✔ Answer: 122
---
9. $ 7 \times 0 + 27 \div 3 + 10 - 5 \times 2 $
- Multiplication and division (left to right):
- $ 7 \times 0 = 0 $
- $ 27 \div 3 = 9 $
- $ 5 \times 2 = 10 $
- Now:
$ 0 + 9 + 10 - 10 $
- Left to right:
$ 0 + 9 = 9 $
$ 9 + 10 = 19 $
$ 19 - 10 = 9 $
✔ Answer: 9
---
10. $ 18 \div 6 + 27 \div 3 - 2(2 + 3) + 15 - 4 $
- Parentheses: $ 2 + 3 = 5 $
- So $ 2(5) = 10 $
- Divisions:
$ 18 \div 6 = 3 $
$ 27 \div 3 = 9 $
- Now:
$ 3 + 9 - 10 + 15 - 4 $
- Left to right:
$ 3 + 9 = 12 $
$ 12 - 10 = 2 $
$ 2 + 15 = 17 $
$ 17 - 4 = 13 $
✔ Answer: 13
---
Bonus Problem:
$ 18 \times 2 \div 3 \times 5 \times 1 \times 8 + 17 + 3 $
- Multiplication and division from left to right:
- $ 18 \times 2 = 36 $
- $ 36 \div 3 = 12 $
- $ 12 \times 5 = 60 $
- $ 60 \times 1 = 60 $
- $ 60 \times 8 = 480 $
- Now addition:
$ 480 + 17 + 3 = 480 + 20 = 500 $
✔ Bonus Answer: 500
---
✔ Final Answers:
1.
40
2.
10
3.
11
4.
33
5.
51
6.
25
7.
30
8.
122
9.
9
10.
13
Bonus: 500
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheet for 5th graders.
