24

÷

4

×

(

1

+

2

)

=

24

÷

4

×

3

Step 1

=

24

÷

12

Step 2

=

2

Step 3

Is Mason's work correct?

Mason's work is **incorrect**. Here's why:

Let's break down the steps to solve the expression correctly:

The original expression is:
\[
24 \div 4 \times (1 + 2)
\]

**Step 1: Parentheses first**  
\[
1 + 2 = 3
\]
So the expression becomes:
\[
24 \div 4 \times 3
\]

**Step 2: Division and multiplication**  
According to the order of operations (PEMDAS/BODMAS), division and multiplication are performed from left to right. Therefore, start with division:
\[
24 \div 4 = 6
\]
Now multiply:
\[
6 \times 3 = 18
\]

So the correct result is **18**, not 2 as Mason got.

### Errors in Mason's work:
- In Step 2, he incorrectly performed \(24 \div 12\), which isn't part of the correct order of operations. The operations should be performed from left to right.

---

Do you have any questions or would you like further details? Here are 5 related questions:

1. Can you explain why multiplication and division are done from left to right?
2. What are the key rules of the order of operations (PEMDAS/BODMAS)?
3. What would happen if parentheses were removed from the original problem?
4. Can you show another example involving division, multiplication, and parentheses?
5. How does order of operations affect more complex expressions?

**Tip:** Always remember to handle operations inside parentheses first, then proceed with multiplication and division from left to right.

Is Mason's work correct? 24 ÷ 4 × (1 + 2) = 24 ÷ 4 × 3 = 24 ÷ 12 = 2

Learn how to solve the expression 24 ÷ 4 × (1 + 2) step-by-step by applying the order of operations (PEMDAS/BODMAS). This problem explains the correct use of parentheses, division, and multiplication to avoid common mistakes. Suitable for students in Grades 5-7.

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