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Round 0.4567 to the nearest hundredth

Step by step, with the reason for every step · Decimals · Foundations

Step by step

The question

Question: round 0.4567 to the nearest hundredth.

Round 0.4567 to the nearest hundredth

1 Find the place

The nearest hundredth means the hundredths place.

In 0.4567, the hundredths digit is 5.

= 0.4567
hundredths: 5

2 Look at the next digit

Now we look at the next digit to the right.

It is 6.

5 or more: we round up, the hundredths digit goes up by 1.

4 or less: we round down, the hundredths digit stays the same.

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

3 See it on a number line

0.4567 is closer to 0.46.

So 0.4567 rounded to the nearest hundredth is 0.46.

The sign ≈ means about.

= 0.4567 ≈ 0.46

Let's look back.

First: find the place.

Then: look at the next digit.

Last: see it on a number line.

Answer
= 0.4567 ≈ 0.46

Your turn

Try this one yourself, then check:

Round 0.4464 to the nearest hundredth
Show the answer
0.4464 ≈ 0.45

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