Question

estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten

Answer 1

Answer: $\approx8*10^{-3}$

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

• If it is less than 5, you must round down.

• If it is greater than or equal than 5, you must round up.

In this case, given the number:

$0.00792398$

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since $9>5$, you must round up. Then:

$0.00792398\approx0.008$

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

$\approx8*10^{-3}$