Which expression is equal to 5.1×10−3

Question

?(1 point)
Responses

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

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

2.9×10−3+1.2×10−3

Answer 1

Let's evaluate each of the given expressions to find which one is equal to \( 5.1 \times 10^{-3} \).

1. Expression 1: \[ 3.5 \times 10^{3} + 1.6 \times 10^{-6} \] This results in a very large number (the first term) plus a small number, which will be significantly greater than \( 5.1 \times 10^{-3} \).

2. Expression 2: \[ 2.2 \times 10^{-1} + 2.9 \times 10^{-2} \] Converting both terms to the same exponent: \[ 2.2 \times 10^{-1} = 2.2 \times 10^{-1} = 22 \times 10^{-2} \] So: \[ 22 \times 10^{-2} + 2.9 \times 10^{-2} = 24.9 \times 10^{-2} = 2.49 \times 10^{-1} \] This is equal to \( 0.249 \) and is not equal to \( 5.1 \times 10^{-3} \).

3. Expression 3: \[ 3.9 \times 10^{-3} + 1.2 \times 10^{-3} \] Adding both terms: \[ 3.9 \times 10^{-3} + 1.2 \times 10^{-3} = (3.9 + 1.2) \times 10^{-3} = 5.1 \times 10^{-3} \] This is equal to \( 5.1 \times 10^{-3} \).

4. Expression 4: \[ 2.9 \times 10^{-3} + 1.2 \times 10^{-3} \] Adding these: \[ 2.9 \times 10^{-3} + 1.2 \times 10^{-3} = (2.9 + 1.2) \times 10^{-3} = 4.1 \times 10^{-3} \] This is not equal to \( 5.1 \times 10^{-3} \).

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