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

1 answer

To find which expression is equal to \( 5.1 \times 10^{-3} \), we can evaluate each of the options provided:

  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. \( 2.2 \times 10^{-1} + 2.9 \times 10^{-2} \): This is \( 2.2 \times 10^{-1} + 0.029 \), which does not equal \( 5.1 \times 10^{-3} \).

  3. \( 3.5 \times 10^{3} + 1.6 \times 10^{-6} \): This is a very large number \( 3500 + 0.000001 \), which does not equal \( 5.1 \times 10^{-3} \).

  4. \( 2.9 \times 10^{-3} + 1.2 \times 10^{-3} \): \[ 2.9 \times 10^{-3} + 1.2 \times 10^{-3} = (2.9 + 1.2) \times 10^{-3} = 4.1 \times 10^{-3} \]

From the evaluations, the only expression that equals \( 5.1 \times 10^{-3} \) is:

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