Question

Which expression is equal to 5.1×10^−3 ?(1 point)
Responses

3.9×10−3+1.2×10−3
3.9 times 10 negative cubed plus 1.2 times 10 negative cubed

2.2×10−1+2.9×10−2
2.2 times 10 superscript negative 1 baseline plus 2.9 times 10 negative squared

3.5×103+1.6×10−6
3.5 times 10 cubed plus 1.6 times 10 superscript negative 6 baseline

2.9×10^−3+1.2×10^−3

Answer 1

To find which expression is equal to \(5.1 \times 10^{-3}\), we need to evaluate each option:

1. **\(3.9 \times 10^{-3} + 1.2 \times 10^{-3}\)**:
\[
3.9 \times 10^{-3} + 1.2 \times 10^{-3} = (3.9 + 1.2) \times 10^{-3} = 5.1 \times 10^{-3}
\]

2. **\(2.2 \times 10^{-1} + 2.9 \times 10^{-2}\)**:
\[
2.2 \times 10^{-1} = 0.22, \quad 2.9 \times 10^{-2} = 0.029
\]
\[
0.22 + 0.029 = 0.249 \quad \text{(not equal to } 5.1 \times 10^{-3})
\]

3. **\(3.5 \times 10^{3} + 1.6 \times 10^{-6}\)**:
\[
3.5 \times 10^{3} = 3500, \quad 1.6 \times 10^{-6} = 0.0000016
\]
\[
3500 + 0.0000016 \quad \text{(not equal to } 5.1 \times 10^{-3})
\]

4. **\(2.9 \times 10^{-3} + 1.2 \times 10^{-3}\)**:
\[
2.9 \times 10^{-3} + 1.2 \times 10^{-3} = (2.9 + 1.2) \times 10^{-3} = 4.1 \times 10^{-3} \quad \text{(not equal to } 5.1 \times 10^{-3})
\]

The only expression that equals \(5.1 \times 10^{-3}\) is:

**\(3.9 \times 10^{-3} + 1.2 \times 10^{-3}\)**.