Step by step
The question
Question: round 5764 to 2 significant figures.
1 Find the first significant figure
The first significant figure is the first digit that is not 0.
In 5764, it is 5.
2 Count the figures
We count 2 figures from there: 5, 7.
The 2nd figure, 7, is in the hundreds place.
So we round to the nearest hundred.
3 Look at the next digit
Now we look at the next digit to the right.
It is 6.
5 or more: we round up.
4 or less: we round down.
6 is 5 or more, so we round up.
4 See it on a number line
5764 is closer to 5800.
5 Keep the size
The places after the 2nd figure become 0.
The zeros keep the size: 5800 is close to 5764.
Careful!
58 is much smaller than 5764.
The zeros keep the number the right size.
So 5764 to 2 significant figures is 5800.
6 Check
Let's check.
5800 has 2 significant figures: 5, 8.
And it is the same size as 5764: 4 digits before the point.
So the answer is right!
Let's look back.
First: find the first significant figure.
Then: count the figures.
Then: look at the next digit.
Then: see it on a number line.
Then: keep the size.
Last: check.