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Which expression is equal to 5.1×10−3

?(1 point)
Responses

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
2.9 times 10 negative cubed plus 1.2 times 10 negative cubed

3.9×10−3+1.2×10−3

1 answer

To find which expression is equal to \( 5.1 \times 10^{-3} \), we will evaluate each response.

  1. \( 2.2 \times 10^{-1} + 2.9 \times 10^{-2} \)

    • Convert \( 2.2 \times 10^{-1} \) to decimal: \( 0.22 \)
    • Convert \( 2.9 \times 10^{-2} \) to decimal: \( 0.029 \)
    • Add them: \( 0.22 + 0.029 = 0.249 \)
    • Convert back to scientific notation: \( 2.49 \times 10^{-1} \) which is \( 2.49 \times 10^{-1} \neq 5.1 \times 10^{-3} \)

  2. \( 3.5 \times 10^{3} + 1.6 \times 10^{-6} \)

    • Convert \( 3.5 \times 10^{3} \) to decimal: \( 3500 \)
    • Convert \( 1.6 \times 10^{-6} \) to decimal: \( 0.0000016 \)
    • Add them: \( 3500 + 0.0000016 \approx 3500 \)
    • Convert back to scientific notation: \( 3.5 \times 10^{3} \neq 5.1 \times 10^{-3} \)

  3. \( 2.9 \times 10^{-3} + 1.2 \times 10^{-3} \)

    • Add the coefficients: \( 2.9 + 1.2 = 4.1 \)
    • So, \( 4.1 \times 10^{-3} \neq 5.1 \times 10^{-3} \)

  4. \( 3.9 \times 10^{-3} + 1.2 \times 10^{-3} \)

    • Add the coefficients: \( 3.9 + 1.2 = 5.1 \)
    • So, \( 5.1 \times 10^{-3} \)

The correct expression that is equal to \( 5.1 \times 10^{-3} \) is \( 3.9 \times 10^{-3} + 1.2 \times 10^{-3} \).