You're given the expression:
>
10 ÷ (3 + 2) × 4 + 5² + 6 - 9
And a step-by-step breakdown using
PEMDAS (Parentheses, Exponents, Multiplication/Division left to right, Addition/Subtraction left to right).
Let’s solve it step by step and match it to the numbered steps shown in your image.
---
🔢 Step 1: Parentheses — `(3 + 2)`
According to PEMDAS, we do parentheses first.
> 3 + 2 =
5
So the expression becomes:
>
10 ÷ 5 × 4 + 5² + 6 - 9
✔ This matches
Step 2 in your image:
>
2. 10 ÷ 5 × 4 + 5² + 6 - 9
*(Note: Step 1 in the image incorrectly shows `10 ÷ (3+2)` still inside parentheses — that should be simplified immediately. So Step 1 is misleading; Step 2 is correct.)*
---
🔢 Step 2: Exponents — `5²`
Next, evaluate exponents.
> 5² =
25
Now the expression is:
>
10 ÷ 5 × 4 + 25 + 6 - 9
✔ This matches
Step 4 in your image:
>
4. 10 ÷ 5 × 4 + 25 + 6 - 9
*(Step 3 incorrectly highlights `5²` without evaluating it — so again, Step 3 is incomplete. Step 4 is correct.)*
---
🔢 Step 3: Multiplication and Division — Left to Right
We now have:
>
10 ÷ 5 × 4 + 25 + 6 - 9
Do division and multiplication from
left to right:
- First:
10 ÷ 5 = 2
- Then:
2 × 4 = 8
Expression becomes:
>
8 + 25 + 6 - 9
✔ This matches
Step 8 in your image:
>
8. 8 + 25 + 6 - 9
*(Steps 5, 6, 7 are intermediate or incorrect — e.g., Step 5 highlights `10 ÷ 5` but doesn’t complete the multiplication. Step 6 shows `2 × 4`, which is correct but not yet evaluated. Step 7 evaluates `2 × 4 = 8` — so Step 7 is correct, but Step 8 is the fully simplified version.)*
---
🔢 Step 4: Addition and Subtraction — Left to Right
Now we have:
>
8 + 25 + 6 - 9
Go left to right:
- 8 + 25 =
33
- 33 + 6 =
39
- 39 - 9 =
30
✔ This matches
Step 14 in your image:
>
14. 30
*(Steps 9–13 show intermediate results: 8+25=33, 33+6=39, 39-9=30 — all correct.)*
---
##
✔ Final Answer:
30
---
## 📌 Summary of Correct Steps (Following PEMDAS):
1.
Parentheses: (3 + 2) → 5
→ Expression: `10 ÷ 5 × 4 + 5² + 6 - 9`
2.
Exponents: 5² → 25
→ Expression: `10 ÷ 5 × 4 + 25 + 6 - 9`
3.
Multiplication/Division (left to right):
- 10 ÷ 5 = 2
- 2 × 4 = 8
→ Expression: `8 + 25 + 6 - 9`
4.
Addition/Subtraction (left to right):
- 8 + 25 = 33
- 33 + 6 = 39
- 39 - 9 =
30
---
## 🧠 Key Takeaway:
Always follow
PEMDAS strictly, and remember that
multiplication and division are done
left to right — *not* multiplication before division always. Same for addition and subtraction.
---
✔ So, the final answer is:
30
Parent Tip: Review the logic above to help your child master the concept of pemdas examples.
