Let's solve each of these problems step by step using the
Order of Operations, commonly remembered by the acronym
PEMDAS:
-
Parentheses
-
Exponents
-
Multiplication and
Division (from left to right)
-
Addition and
Subtraction (from left to right)
We'll go through each expression one at a time.
---
1. $ 16 \div 2 - 1 + 7 $
- First, do division: $ 16 \div 2 = 8 $
- Now: $ 8 - 1 + 7 $
- Left to right: $ 8 - 1 = 7 $, then $ 7 + 7 = 14 $
✔ Answer: 14
---
2. $ 8 - 15 + 3 + 7 $
- No multiplication/division here — just addition and subtraction from left to right:
- $ 8 - 15 = -7 $
- $ -7 + 3 = -4 $
- $ -4 + 7 = 3 $
✔ Answer: 3
---
3. $ 14 \div 2 \times 3 - 9 $
- Division and multiplication come first (left to right):
- $ 14 \div 2 = 7 $
- $ 7 \times 3 = 21 $
- Then subtract: $ 21 - 9 = 12 $
✔ Answer: 12
---
4. $ 2 \times 6 \div 6 - 1 $
- Multiplication and division from left to right:
- $ 2 \times 6 = 12 $
- $ 12 \div 6 = 2 $
- Then: $ 2 - 1 = 1 $
✔ Answer: 1
---
5. $ 20 \div 4 + 3 \times 4 $
- Division and multiplication first (left to right):
- $ 20 \div 4 = 5 $
- $ 3 \times 4 = 12 $
- Now: $ 5 + 12 = 17 $
✔ Answer: 17
---
6. $ 8 + 10 \div 2 - 1 $
- Division first: $ 10 \div 2 = 5 $
- Now: $ 8 + 5 - 1 $
- Left to right: $ 8 + 5 = 13 $, $ 13 - 1 = 12 $
✔ Answer: 12
---
Final Answers:
1. $ 16 \div 2 - 1 + 7 = 14 $
2. $ 8 - 15 + 3 + 7 = 3 $
3. $ 14 \div 2 \times 3 - 9 = 12 $
4. $ 2 \times 6 \div 6 - 1 = 1 $
5. $ 20 \div 4 + 3 \times 4 = 17 $
6. $ 8 + 10 \div 2 - 1 = 12 $
✔ All solved using correct order of operations!
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheets.
