Question

divide in scientific notation practice
complete this assessment to review what youve learned. it will not count toward your grade.
an average american household uses about 1.04 × 10⁴ kwh (kilowatt hours) of electricity a year. if a power station generates 2.496 × 10¹⁰ kwh per year, how many households can it serve? write your answer in scientific notation, expressed to the exact decimal place. (1 point)

Explanation:

Step1: Set up the division

To find the number of households, divide the total electricity generated by the power - station by the electricity used per household. So we have $\frac{2.496\times 10^{10}}{1.04\times 10^{4}}$.

Step2: Divide the coefficients

Divide the coefficients $2.496$ by $1.04$: $\frac{2.496}{1.04}=2.4$.

Step3: Divide the powers of 10

Use the rule $\frac{a^{m}}{a^{n}}=a^{m - n}$. Here, $a = 10$, $m = 10$, and $n = 4$. So $\frac{10^{10}}{10^{4}}=10^{10 - 4}=10^{6}$.

Step4: Combine the results

Multiply the results from Step 2 and Step 3. The result is $2.4\times10^{6}$.

Answer:

$2.4\times 10^{6}$