Question

Question
Which of the following numbers are larger than 4×10−3
? (Select all that apply)(1 point)
Responses

4.5 × 10⁻³
4.5 × 10⁻³

2 × 10⁻²
2 × 10⁻²

3.1 × 10⁻²
3.1 × 10⁻²

5.2 × 10⁻⁴

Answer 1

To determine which of the given numbers are larger than \(4 \times 10^{-3}\), we can compare each number to \(4 \times 10^{-3}\).

1. **\(4.5 \times 10^{-3}\)**:
- This is larger than \(4 \times 10^{-3}\) because \(4.5 > 4\).

2. **\(2 \times 10^{-2}\)**:
- Converting \(2 \times 10^{-2}\) to standard notation gives \(0.02\), while \(4 \times 10^{-3}\) is \(0.004\).
- Therefore, \(2 \times 10^{-2}\) is larger than \(4 \times 10^{-3}\).

3. **\(3.1 \times 10^{-2}\)**:
- Converting \(3.1 \times 10^{-2}\) to standard notation gives \(0.031\).
- \(0.031\) is greater than \(0.004\), so \(3.1 \times 10^{-2}\) is larger than \(4 \times 10^{-3}\).

4. **\(5.2 \times 10^{-4}\)**:
- Converting \(5.2 \times 10^{-4}\) to standard notation gives \(0.00052\).
- Since \(0.00052\) is less than \(0.004\), \(5.2 \times 10^{-4}\) is not larger than \(4 \times 10^{-3}\).

### Summary:
The numbers larger than \(4 \times 10^{-3}\) are:
- **\(4.5 \times 10^{-3}\)**
- **\(2 \times 10^{-2}\)**
- **\(3.1 \times 10^{-2}\)**

Thus, the correct responses are:
- \(4.5 \times 10^{-3}\)
- \(2 \times 10^{-2}\)
- \(3.1 \times 10^{-2}\)