Question

Use a single digit times a power of 10 to estimate the number 0.00004167.

Rounded to the nearest hundred thousandth, the number 0.00004167 is
x 10
Written as a single digit times a power of ten, the estimate is
(Type whole numbers.)

Answer 1

a.
`0.00004167 = 0.00004`

b.
`4* 10^(-5)`

Explanation:

Given

`0.00004167`

Solving (a): Round to the nearest hundredth thousandth

This means there would be 5 digits after the decimal.

So:

`0.00004167 = 0.00004` -- (approximated)

(b) Express in standard form

A number in standard form has the following format;

`a * 10^b`

Where

`1 \leq a \leq 10`

So:

`0.00004167`

becomes

`4.167 * 10^(-5)`

This is because the decimal point was moved 5 places backwards

Approximate 4.167 to nearest integer; We have:

`4* 10^(-5)`