Question

8 . In which step does a mistake first occur?

(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2

Answer 1

Step 1

Explanation:

Concepts:

• When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Solving:

Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.

(24 + 3 + 10) - 14 + 2

1. Add 24 and 3 together

• (24 + 3 + 10) - 14 + 2
• (27 + 10) - 14 + 2

2. Add 27 and 10 together

• (27 + 10) - 14 + 2
• (37) - 14 + 2
• 37 - 14 + 2

3. Subtract 14 from 37

• 37 - 14 + 2
• 23 + 2

4. Add 23 and 2 together

• 23 + 2

• 25

Now, let's compare these steps to the ones given.

There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.