Subtract Numbers in Scientific Notation Quick C…

Question

1 of 5
Subtract
(1 point)
4.66 × 10 − 7.34 ×
−5 10
−7
−4.5866 × 10
−5
−2.68 × 10
2
2.68 × 10
2
4.5866 × 10
−5

Answer 1

To subtract numbers in scientific notation, you first need to make sure the powers of ten are the same. In this case, we are subtracting \( 4.66 \times 10^{-7} \) and \( 7.34 \times 10^{-5} \). We can rewrite \( 7.34 \times 10^{-5} \) in terms of \( 10^{-7} \):

1. Rewrite \( 7.34 \times 10^{-5} \) as: \[ 7.34 \times 10^{-5} = 7.34 \times 10^{-5} \cdot \frac{10^{-2}}{10^{-2}} = 0.0734 \times 10^{-7} \]

Now we have: \[ 4.66 \times 10^{-7} - 0.0734 \times 10^{-7} \]

2. Perform the subtraction: \[ (4.66 - 0.0734) \times 10^{-7} = 4.5866 \times 10^{-7} \]

So the result of the subtraction \( 4.66 \times 10^{-7} - 7.34 \times 10^{-5} \) is: \[ 4.5866 \times 10^{-7} \]

Therefore, the answer is \( 4.5866 \times 10^{-7} \).