Question

Which of the following is equal to 4.6?

(1 point)
Responses

1.6+(3×4)−2÷2

1 . 6 + ( 3 × 4 ) - 2 ÷ 2

1.6+3×4−2÷2

1 . 6 + 3 × 4 - 2 ÷ 2

[1.6+(3×4)]−(2÷2)

[ 1 . 6 + ( 3 × 4 ) ] - ( 2 ÷ 2 )

(1.6+3)×(4−2)÷2

Answer 1

Let's evaluate each expression step by step to see which one is equal to 4.6.

1. **1.6 + (3 × 4) − 2 ÷ 2**
- Calculate \(3 × 4 = 12\)
- Calculate \(2 ÷ 2 = 1\)
- Now substitute back: \(1.6 + 12 - 1 = 1.6 + 12 - 1 = 12.6 - 1 = 11.6\)

2. **1.6 + 3 × 4 − 2 ÷ 2**
- Follow the order of operations (PEMDAS/BODMAS):
- Calculate \(3 × 4 = 12\)
- Calculate \(2 ÷ 2 = 1\)
- Combine: \(1.6 + 12 - 1 = 1.6 + 12 - 1 = 12.6 - 1 = 11.6\)

3. **[1.6 + (3 × 4)] − (2 ÷ 2)**
- Calculate \(3 × 4 = 12\)
- Calculate \(2 ÷ 2 = 1\)
- Substitute: \([1.6 + 12] - 1 = 13.6 - 1 = 12.6\)

4. **(1.6 + 3) × (4 − 2) ÷ 2**
- Calculate \(1.6 + 3 = 4.6\)
- Calculate \(4 − 2 = 2\)
- Now substitute: \(4.6 × 2 ÷ 2 = 4.6\)

Thus, the expression that is equal to 4.6 is:

**(1.6 + 3) × (4 − 2) ÷ 2**.