Round 1.0962 to 3 significant figures Step by Step

Step by step

The question

Question: round 1.0962 to 3 significant figures.

Round 1.0962 to 3 significant figures

1 Find the first significant figure

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

In 1.0962, it is 1.

= 1.0962

significant figures: counted from

the first digit that is not 0

2 Count the figures

We count 3 figures from there: 1, 0, 9.

The 3rd figure, 9, is in the hundredths place.

So we round to the nearest hundredth.

= 3rd figure 9 → the hundredths place

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.

= 6 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

1.0962 is closer to 1.10.

5 Keep the size

We stop after the 3rd figure.

So 1.0962 is about 1.10.

= 1.0962 ≈ 1.10

So 1.0962 to 3 significant figures is 1.10.

6 Check

Let's check.

1.10 has 3 significant figures: 1, 1, 0.

1.10: figures 1, 1, 0 → 3 s.f.

And it is close to 1.0962.

So the answer is right!

1.0962 ≈ 1.10: 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