Question

Question #29219

Answer 1

Here's how you can do that.

Explanation:

In order to round your number off to two significant figures, you must compare the value of the third significant digit to `5`.

If the third significant digit is `>=5`, then you will add `1` to the value of the second significant digit and eliminate everything that follows this digit. If the third significant digit is `<5`, then you will leave the value of the second significant digit unchanged and eliminate everything that follows this digit.

In your case, you have

`color(red)(color(black)(4.)4color(blue)(4)color(black)(5))`

Here

• `color(red)(4) ->` the second significant digit
• `color(blue)(4) ->` the third significant digit

When you compare the third significant digit to `5`, you see that you have

`color(blue)(4) < 5`

This means that you must leave the second significant digit unchanged and eliminate everything that follows this digit.

`4.4color(red)(cancel(color(black)(45)))`

You will thus have

`4.445 ~~ 4.4 ->` rounded to two sig figs