Round 0.6081 to 2 significant figures Step by Step

Step by step

The question

Question: round 0.6081 to 2 significant figures.

Round 0.6081 to 2 significant figures

1 Find the first significant figure

The first significant figure is the first digit that is not 0.

In 0.6081, it is 6.

= 0.6081

The zeros in front only hold the place.

They are not counted.

0s in front: not counted

significant figures: counted from

the first digit that is not 0

2 Count the figures

We count 2 figures from there: 6, 0.

The 2nd figure, 0, is in the hundredths place.

So we round to the nearest hundredth.

= 2nd figure 0 → the hundredths place

3 Look at the next digit

Now we look at the next digit to the right.

It is 8.

5 or more: we round up.

4 or less: we round down.

8 is 5 or more, so we round up.

= 8 is 5 or more → round up

5 or more → up: digit + 1

4 or less → down: digit stays

4 See it on a number line

0.6081 is closer to 0.61.

5 Keep the size

We stop after the 2nd figure.

So 0.6081 is about 0.61.

= 0.6081 ≈ 0.61

Careful!

The zeros in front are not counted.

But they stay in the answer.

They hold the place.

Careful: the 0s in front stay: 0.61

So 0.6081 to 2 significant figures is 0.61.

6 Check

Let's check.

0.61 has 2 significant figures: 6, 1.

0.61: figures 6, 1 → 2 s.f.

And it is close to 0.6081.

So the answer is right!

0.6081 ≈ 0.61: the same size

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.

Answer