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How many times larger is $8\times10^6$ than $2\times10^2$

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Full solution

Q. How many times larger is

8\times10^6

than

2\times10^2

Understand the problem: Understand the problem. $\newline$ We need to find out how many times larger one number is compared to another. This means we need to divide the larger number by the smaller number.
Write in scientific notation: Write down the numbers in scientific notation. $\newline$ The first number is $8\times10^6$ and the second number is $2\times10^2$ .
Divide first number by second: Divide the first number by the second number. $\newline$ $(8\times10^6) / (2\times10^2) = (8/2) \times (10^6 / 10^2)$
Simplify coefficients division: Simplify the division of the coefficients (the numbers in front of the powers of $10$ ). $\frac{8}{2} = 4$
Simplify powers of $10$ division: Simplify the division of the powers of $10$ . $10^6 / 10^2 = 10^{6-2} = 10^4$
Multiply results: Multiply the results from Step $4$ and Step $5$ . $\newline$ $4 \times 10^4$
Interpret the result: Interpret the result. $\newline$ The number $8\times10^6$ is $4\times10^4$ times larger than $2\times10^2$ .

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