Question & Answer

Divide. Write your answer in scientific notation. 7.92 × 10⁻² 9.9 × 10⁻⁹

Divide. Write your answer in scientific notation.
7.92 × 10⁻²
9.9 × 10⁻⁹

1 Answer

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Quizzma TeamApril 19, 2025

To divide two numbers in scientific notation, you divide their coefficients and subtract the exponents of the powers of ten.

1. Divide the coefficients:

( frac{7.92}{9.9} approx 0.8 )

2. Subtract the exponents:

( -2 – (-9) = -2 + 9 = 7 )

Now combine the results:

– The result in scientific notation is:

( 0.8 times 10^7 )

Since scientific notation typically has a coefficient between 1 and 10, we convert 0.8 into scientific notation:

( 0.8 = 8.0 times 10^{-1} )

So we write:

( 8.0 times 10^{-1} times 10^7 = 8.0 times 10^{6} )

Therefore, the final answer is:

( 8.0 times 10^{6} )

If you need further clarification, feel free to ask!