Round 4619 to 1 significant figure Step by Step

Step by step

The question

Question: round 4619 to 1 significant figure.

Round 4619 to 1 significant figure

1 Find the first significant figure

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

In 4619, it is 4.

= 4619

significant figures: counted from

the first digit that is not 0

2 Count the figures

We count 1 figure from there: 4.

The 1st figure, 4, is in the thousands place.

So we round to the nearest thousand.

= 1st figure 4 → the thousands 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

4619 is closer to 5000.

5 Keep the size

The places after the 1st figure become 0.

The zeros keep the size: 5000 is close to 4619.

= 4619 ≈ 5000

Careful!

5 is much smaller than 4619.

The zeros keep the number the right size.

Careful: not 4619 ≈ 5 ✗

So 4619 to 1 significant figure is 5000.

6 Check

Let's check.

5000 has 1 significant figure: 5.

5000: figures 5 → 1 s.f.

And it is the same size as 4619: 4 digits before the point.

So the answer is right!

4619 and 5000: both 4 digits before the point

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