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Round 6.48 to 2 significant figures

Step by step, with the reason for every step · Significant figures and estimating · Foundations

Step by step

The question

Question: round 6.48 to 2 significant figures.

Round 6.48 to 2 significant figures

1 Find the first significant figure

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

In 6.48, it is 6.

= 6.48
significant figures: counted from
the first digit that is not 0

2 Count the figures

We count 2 figures from there: 6, 4.

The 2nd figure, 4, is in the tenths place.

So we round to the nearest tenth.

= 2nd figure 4 → the tenths 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

6.48 is closer to 6.5.

5 Keep the size

We stop after the 2nd figure.

So 6.48 is about 6.5.

= 6.48 ≈ 6.5

So 6.48 to 2 significant figures is 6.5.

6 Check

Let's check.

6.5 has 2 significant figures: 6, 5.

6.5: figures 6, 5 → 2 s.f.

And it is close to 6.48.

So the answer is right!

6.48 ≈ 6.5: 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
= 6.48 ≈ 6.5

Your turn

Try this one yourself, then check:

Round 5.77 to 2 significant figures
Show the answer
5.77 ≈ 5.8

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