Which is bigger, 0.09 or 0.1

Step by step

The question

Question: which is bigger, 0.09 or 0.1?

1 Same number of digits

Zeros at the end of a decimal do not change it: 0.1 is the same as 0.10.

So we give every number 2 digits after the point.

2 Compare

Now both have 2 digits after the point.

So we can forget the point and compare them like whole numbers: 9 < 10.

Careful!

More digits does not mean bigger.

Compare 0.09 with 0.10.

3 Write the answer

Now with the numbers as they were given: 0.09 < 0.1.

So 0.1 is bigger.

4 Check

Let's check on a number line.

Smaller numbers are further to the left.

We put a dot for each number.

From left to right: 0.09, 0.1.

The same order.

So the answer is right!

Let's look back.

First: same number of digits.

Then: compare.

Then: write the answer.

Last: check.