Find the quotient of 4.13 x 10exponent-8

Question

and 0.04 x 10exponent5
. In two or more complete sentences, explain each step in your calculations. Include the quotient as part of your final answer.

Answer 1

To find the quotient of \( 4.13 \times 10^{-8} \) and \( 0.04 \times 10^{5} \), we start by dividing the numerical coefficients and then handling the powers of ten.

First, we divide the coefficients: \[ \frac{4.13}{0.04} = 103.25 \]

Next, we divide the powers of ten: \[ \frac{10^{-8}}{10^{5}} = 10^{-8 - 5} = 10^{-13} \]

Now, we combine both parts to write the final answer: \[ 103.25 \times 10^{-13} \]

For standard scientific notation, we need to express \( 103.25 \) as \( 1.0325 \) while increasing the exponent by 1 to account for the shift of the decimal point. Therefore, the answer can be rewritten as: \[ 1.0325 \times 10^{-12} \]

Thus, the final quotient is: \[ 1.0325 \times 10^{-12} \]

Answer 2

can you make it less less advanced and less words

Answer 3

Sure! Here’s a simpler breakdown:

1. First, divide the numbers: \[ \frac{4.13}{0.04} = 103.25 \]

2. Next, divide the powers of ten: \[ \frac{10^{-8}}{10^{5}} = 10^{-13} \]

3. Now, combine these results: \[ 103.25 \times 10^{-13} \]

4. Convert \( 103.25 \) to scientific notation: \[ 1.0325 \times 10^{-12} \]

So, the final answer is: \[ 1.0325 \times 10^{-12} \]