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

Responses

2.9×10−3+1.2×10−3
2.9 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

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

3.5×103+1.6×10^−6

1 answer

To determine which expression is equal to \( 5.1 \times 10^{-3} \), we need to simplify each response:

  1. \( 2.9 \times 10^{-3} + 1.2 \times 10^{-3} \): \[ (2.9 + 1.2) \times 10^{-3} = 4.1 \times 10^{-3} \]

  2. \( 2.2 \times 10^{-1} + 2.9 \times 10^{-2} \): Convert \( 2.2 \times 10^{-1} \) to the same exponent as \( 2.9 \times 10^{-2} \): \[ 2.2 \times 10^{-1} = 22 \times 10^{-2} \] Then: \[ 22 \times 10^{-2} + 2.9 \times 10^{-2} = (22 + 2.9) \times 10^{-2} = 24.9 \times 10^{-2} = 2.49 \times 10^{-1} \]

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

  4. \( 3.5 \times 10^{3} + 1.6 \times 10^{-6} \): This expression doesn't combine with \( 10^{-3} \) and is not equal to \( 5.1 \times 10^{-3} \).

Thus, the correct expression that equals \( 5.1 \times 10^{-3} \) is:

3.9 × 10^−3 + 1.2 × 10^−3