Question

question
what is the quotient of $7.584 \times 10^9$ and $7.9 \times 10^2$ expressed in scientific notation?
answer
attempt 1 out of 3
answer: $\square \times 10^{\square}$
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Explanation:

Step1: Divide the coefficients

To find the quotient of the two numbers in scientific notation, we first divide the coefficients. So we calculate $\frac{7.584}{7.9}$.
$7.584\div7.9 = 0.96$

Step2: Divide the powers of 10

Next, we divide the powers of 10 using the rule $a^m\div a^n=a^{m - n}$. So we calculate $10^{9}\div10^{2}=10^{9 - 2}=10^{7}$

Step3: Combine the results

Now we combine the results from Step 1 and Step 2. But we need to make sure the coefficient is between 1 and 10. However, $0.96$ is less than 1, so we can rewrite $0.96\times10^{7}$ as $9.6\times10^{- 1}\times10^{7}$. Using the rule $a^m\times a^n=a^{m + n}$, we get $9.6\times10^{-1 + 7}=9.6\times10^{6}$

Answer:

$9.6\times10^{6}$