Subtract Numbers in Scientific Notation Quick Check

Question

1 of 51 of 5 Items
Question
Subtract 4.66×10−5−7.34×10−7
(1 point)
Responses

−4.5866×10−5
negative 4.5866 times 10 superscript negative 5 baseline

−2.68×102
negative 2.68 times 10 squared

2.68×102
2.68 times 10 squared

4.5866×10−5
4.5866 times 10 superscript negative 5 baseline

Answer 1

To subtract the numbers \( 4.66 \times 10^{-5} \) and \( 7.34 \times 10^{-7} \), we first need to express both numbers in the same power of ten.

1. \( 4.66 \times 10^{-5} \) is already in the desired power of ten.
2. Convert \( 7.34 \times 10^{-7} \) to the same power of ten as \( 4.66 \times 10^{-5} \): \[ 7.34 \times 10^{-7} = 0.0734 \times 10^{-5} \]

Now we can rewrite the equation: \[ 4.66 \times 10^{-5} - 0.0734 \times 10^{-5} \]

Subtract the coefficients: \[ 4.66 - 0.0734 = 4.5866 \]

Now, we can write the result in scientific notation: \[ 4.5866 \times 10^{-5} \]

So, the answer is: \[ \boxed{4.5866 \times 10^{-5}} \]