Question

How do you round 0.013946 to three significant figures?

Answer 1

0.0139

Explanation:

Significant figures are the first number(s) reading left to right that is non-zero.

In this case the 1 is the first significant figure, then the 3 and the 9. The 0's after the decimal point are to be left as they keep the other figures in the correct places. Looking at the digit after the 9 which is a 4 meaning that we round down.

Our answer is 0.013900 which is just 0.0139

Answer 2

`color(red)(0.0)` `color(blue)(139)`

Explanation:

Rules of significant figures,

1) Zeros before any number (1-9) `color(red)(is)` `color(red)(no t)` considered a significant number.
2) Zeros after any number (1-9) `color(red)(is)` considered a significant number.

`color(red)(Red)` is not considered a significant number and `color(blue)(blue)` is considered a significant number, hence,

`color(red)(0.0)` `color(blue)(13946)`

Then, round-off the third `color(blue)(blue)` number and you will get,

`color(red)(0.0)` `color(blue)(139)`