Question

Which expressions are equivalent to 3.64? Check the THREE that apply.
(3 points)
• 0.0364 × 100
O 36.4 × 10
• 36.4 ÷ 10
• [(3 × 1) + (6 × 0.1) + (4 × 0.01)] × 100
• (3 × 1) + (6 × 0.1) + (4 × 0.01)

Answer 1

To determine which expressions are equivalent to 3.64, let's evaluate each option:

1. **0.0364 × 100**
= 3.64
(This is equivalent to 3.64)

2. **36.4 × 10**
= 364
(This is NOT equivalent to 3.64)

3. **36.4 ÷ 10**
= 3.64
(This is equivalent to 3.64)

4. **[(3 × 1) + (6 × 0.1) + (4 × 0.01)] × 100**
First, calculate inside the brackets:
- \(3 × 1 = 3\)
- \(6 × 0.1 = 0.6\)
- \(4 × 0.01 = 0.04\)

Now, add them together:
\(3 + 0.6 + 0.04 = 3.64\)

Now multiply by 100:
\(3.64 × 100 = 364\)
(This is NOT equivalent to 3.64)

5. **(3 × 1) + (6 × 0.1) + (4 × 0.01)**
As previously calculated:
\(3 + 0.6 + 0.04 = 3.64\)
(This is equivalent to 3.64)

Therefore, the expressions that are equivalent to 3.64 are:

- 0.0364 × 100
- 36.4 ÷ 10
- (3 × 1) + (6 × 0.1) + (4 × 0.01)

So the three correct answers are:
- 0.0364 × 100
- 36.4 ÷ 10
- (3 × 1) + (6 × 0.1) + (4 × 0.01)