Steply

Compare 0.5 and 0.48

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

Step by step

The question

Question: compare 0.5 and 0.48.

0.5 and 0.48

1 Same number of digits

Zeros at the end of a decimal do not change it: 0.5 is the same as 0.50.

So we give every number 2 digits after the point.

= 0.50, 0.48

2 Compare

Now both have 2 digits after the point.

So we can forget the point and compare them like whole numbers: 48 < 50.

= 0.48 < 0.50
48 < 50

Careful!

More digits does not mean bigger.

Compare 0.48 with 0.50.

Careful: not 0.48 > 0.5 ✗

3 Write the answer

Now with the numbers as they were given: 0.5 > 0.48.

0.5 is greater than 0.48.

= 0.5 > 0.48

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: 0.48, 0.5.

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
= 0.5 > 0.48

Your turn

Try this one yourself, then check:

Compare 0.8 and 0.05
Show the answer
0.8 > 0.05

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