Question

question
what is the quotient of 5.846 × 10^7 and 7.9 × 10^2 expressed in scientific notation?
answer attempt 1 out of 5
answer: ×10

Explanation:

Step1: Divide the coefficients

Divide 5.846 by 7.9: $5.846\div7.9 = 0.74$

Step2: Divide the powers of 10

Use the rule $\frac{10^m}{10^n}=10^{m - n}$, so $\frac{10^7}{10^2}=10^{7 - 2}=10^5$

Step3: Combine the results and convert to scientific - notation

$0.74\times10^5$ is not in scientific - notation. We rewrite 0.74 as $7.4\times10^{- 1}$. Then $0.74\times10^5=(7.4\times10^{-1})\times10^5$. Using the rule $a^m\times a^n=a^{m + n}$, we get $7.4\times10^{-1 + 5}=7.4\times10^4$

Answer:

$7.4\times10^4$