Question

question
what is the quotient of $7.584 \times 10^6$ and $7.9 \times 10^2$ expressed in scientific notation?
answer attempt 1 out of 2
answer: $\square \times 10^{\square}$ submit answer

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 of exponents $a^m\div a^n=a^{m - n}$, we have $10^{6}\div10^{2}=10^{6 - 2}=10^{4}$

Step3: Combine the results

Now we combine the coefficient and the power of 10. But we need to express the coefficient in scientific notation (a number between 1 and 10). So $0.96\times10^{4}$ can be rewritten as $9.6\times10^{3}$ (since we move the decimal point one place to the right, we decrease the exponent of 10 by 1).

Answer:

$9.6\times10^{3}$