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\times10^{4} ) kwh (kilowatt hours) of electricity a year. if a power station generates ( 2.496\times10^{10} ) kwh per year, how many households can it serve? write your answer in scientific notation, expressed to the exact decimal place. (1 point)
check answer remaining attempts : 3

Explanation:

Step1: Divide the coefficients

Divide \(2.496\) by \(1.04\), \(2.496\div1.04 = 2.4\)

Step2: Divide the powers of 10

Use the rule \(a^{m}\div a^{n}=a^{m - n}\), so \(10^{10}\div10^{4}=10^{10 - 4}=10^{6}\)

Step3: Combine the results

Multiply the result of the coefficient division and the result of the power - of - 10 division. The formula for dividing numbers in scientific notation \((a\times10^{m})\div(b\times10^{n})=(a\div b)\times10^{m - n}\) (where \(1\leqslant a\div b<10\)). Here, we get \(2.4\times10^{6}\)

Answer:

\(2.4\times 10^{6}\)