Question

what is 5280 in scientific notation? *
5.28x10^4
5.28x10^2
5.28x10^1
5.28x10^3
what is 15,364 in scientific notation? *
1.5364x10^1
1.5364x10^4
1.5364x10^3
1.5364x10^2

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is of the form $a\times10^{n}$, where $1\leq a<10$ and $n$ is an integer. To find $n$, count the number of places the decimal point moves.

Step2: Convert 5280 to scientific notation

For 5280, move the decimal point 3 places to the left to get $a = 5.28$. Since we moved the decimal 3 places to the left, $n = 3$. So, $5280=5.28\times10^{3}$.

Step3: Convert 15364 to scientific notation

For 15364, move the decimal point 4 places to the left to get $a = 1.5364$. Since we moved the decimal 4 places to the left, $n = 4$. So, $15364 = 1.5364\times10^{4}$.

Answer:

1. D. $5.28\times10^{3}$
2. B. $1.5364\times10^{4}$