Let's solve each problem on the
Order of Operations Sheet 5:1 using the correct order of operations (PEMDAS):
PEMDAS Rule:
-
Parentheses
-
Exponents
-
Multiplication and
Division (from left to right)
-
Addition and
Subtraction (from left to right)
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We'll go through each problem step by step.
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1) (4 + 3) × 2
= 7 × 2
=
14
✔ Already solved correctly.
---
2) 4 + (3 × 2)
First, do the parentheses: 3 × 2 = 6
Then: 4 + 6 =
10
---
3) (2 + 3) × 5
= 5 × 5 =
25
---
4) 2 + (3 × 5)
= 2 + 15 =
17
---
5) (8 - 3) × 2
= 5 × 2 =
10
---
6) 8 - (3 × 2)
= 8 - 6 =
2
---
7) (4 + 2) × 3
= 6 × 3 =
18
---
8) 4 + (2 × 3)
= 4 + 6 =
10
---
9) 5 × 3 + 4
Multiplication first: 5 × 3 = 15
Then: 15 + 4 =
19
---
10) 5 + 3 × 4
Multiplication first: 3 × 4 = 12
Then: 5 + 12 =
17
---
11) 10 ÷ 2 + 3
Division first: 10 ÷ 2 = 5
Then: 5 + 3 =
8
---
12) 10 - 6 ÷ 2
Division first: 6 ÷ 2 = 3
Then: 10 - 3 =
7
---
13) (4 + 7) × 3
= 11 × 3 =
33
---
14) 4 + 7 × 3
Multiplication first: 7 × 3 = 21
Then: 4 + 21 =
25
---
15) 10 - 3 × 2
Multiplication first: 3 × 2 = 6
Then: 10 - 6 =
4
---
16) (10 - 3) × 2
= 7 × 2 =
14
---
17) 5 + 2 × 4
Multiplication first: 2 × 4 = 8
Then: 5 + 8 =
13
---
18) 7 × 2 - 5
Multiplication first: 7 × 2 = 14
Then: 14 - 5 =
9
---
19) 14 - 3 × 3
Multiplication first: 3 × 3 = 9
Then: 14 - 9 =
5
---
20) 8 + (3 × 5)
= 8 + 15 =
23
---
21) 6 × 3 - 7
Multiplication first: 6 × 3 = 18
Then: 18 - 7 =
11
---
22) 12 ÷ 2 + 4
Division first: 12 ÷ 2 = 6
Then: 6 + 4 =
10
---
23) 9 - 7 + 6
Left to right:
9 - 7 = 2
2 + 6 =
8
> Note: Addition and subtraction are done left to right.
---
24) 9 - (7 + 6)
Parentheses first: 7 + 6 = 13
Then: 9 - 13 =
-4
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | 14 |
| 2) | 10 |
| 3) | 25 |
| 4) | 17 |
| 5) | 10 |
| 6) | 2 |
| 7) | 18 |
| 8) | 10 |
| 9) | 19 |
| 10) | 17 |
| 11) | 8 |
| 12) | 7 |
| 13) | 33 |
| 14) | 25 |
| 15) | 4 |
| 16) | 14 |
| 17) | 13 |
| 18) | 9 |
| 19) | 5 |
| 20) | 23 |
| 21) | 11 |
| 22) | 10 |
| 23) | 8 |
| 24) | -4 |
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📌 Summary Tips:
- Always do
parentheses first.
- Then
multiplication and division from left to right.
- Then
addition and subtraction from left to right.
- Never do addition before multiplication unless in parentheses.
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheet for 5th graders.
