Question

Which expression is equal to 5.1×10−3
?(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**.