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
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Divide. Write your answer in scientific notation.
7.92 × 10⁻²
9.9 × 10⁻⁹
To divide the two numbers in scientific notation, you follow the rule that states you divide the coefficients and subtract the exponents of the ten powers.
1. Divide the coefficients:
( frac{7.92}{9.9} approx 0.8 ) (rounded to one decimal place).
2. Subtract the exponents:
( -2 – (-9) = -2 + 9 = 7 ).
Now, combine these results:
( 0.8 times 10^{7} ).
We want the coefficient in scientific notation to be between 1 and 10, so we can convert ( 0.8 ) into scientific notation:
( 0.8 = 8.0 times 10^{-1} ).
Therefore, now we multiply:
( (8.0 times 10^{-1}) times 10^7 = 8.0 times 10^{6} ).
So the final answer in scientific notation is:
( 8.0 times 10^{6} ).
Great job on working through this! If you have more questions or need assistance with other topics, feel free to ask!