176k views
5 votes
estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten

User ByJeevan
by
5.6k points

1 Answer

6 votes

Answer:
\approx8*10^(-3)

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)

User Brant Messenger
by
5.3k points