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Which is bigger, 0.7 or 0.65

Step by step, with the reason for every step · Comparing and ordering numbers · Foundations

Step by step

The question

Question: which is bigger, 0.7 or 0.65?

0.7 or 0.65

1 Same number of digits

Zeros at the end of a decimal do not change it: 0.7 is the same as 0.70.

So we give every number 2 digits after the point.

= 0.70, 0.65

2 Compare

Now both have 2 digits after the point.

So we can forget the point and compare them like whole numbers: 65 < 70.

= 0.65 < 0.70
65 < 70

Careful!

More digits does not mean bigger.

Compare 0.65 with 0.70.

Careful: not 0.65 > 0.7 ✗

3 Write the answer

Now with the numbers as they were given: 0.65 < 0.7.

So 0.7 is bigger.

= 0.65 < 0.7

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: 0.65, 0.7.

The same order.

So the answer is right!

left to right: same order

Let's look back.

First: same number of digits.

Then: compare.

Then: write the answer.

Last: check.

Answer
= 0.65 < 0.7

Your turn

Try this one yourself, then check:

Which is bigger, 0.9 or 0.15
Show the answer
0.9

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