# How to Compare Decimals

A decimal is a fraction written in a special form. In this blog post, you will learn more about decimals and how to compare two decimals.

## Step by step guide to compare decimals

A decimal is a fraction written in a special form. For example, instead of writing $$\frac{1}{2}$$ you can write $$0.5$$.
For comparing decimals:

• Compare each digit of two decimals in the same place value.
• Start from left. Compare hundreds, tens, ones, tenth, hundredth, etc.
• To compare numbers, use these symbols: Equal to $$=$$, Less than $$<$$, Greater than $$>$$ Greater than or equal $$\geq$$, Less than or equal $$\leq$$

### Compare Decimals – Example 1:

Compare $$0.40$$ and $$0.04$$.

Solution:

$$0.40$$ is greater than $$0.04$$, because the tenth place of $$0.40$$ is $$4$$, but the tenth place of $$0.04$$ is zero. Then: $$0.40 \ > \ 0.04$$

### Compare Decimals – Example 2:

Compare $$0.0912$$ and $$0.912$$.

Solution:

$$0.912$$ is greater than $$0.0912$$, because the tenth place of $$0.912$$ is $$9$$, but the tenth place of $$0.0912$$ is zero. Then: $$0.0912 \ < \ 0.912$$

### Compare Decimals – Example 3:

Compare $$0.20$$ and $$0.02$$.

Solution:

0.20 is greater than $$0.02$$, because the tenth place of $$0.20$$ is $$2$$, but the tenth place of $$0.02$$ is zero. Then: $$0.20>0.02$$

### Compare Decimals – Example 4:

Compare $$0.0210$$ and $$0.110$$.

Solution:

$$0.0.110$$ is greater than $$0.0210$$, because the tenth place of $$0.110$$ is $$1$$, but the tenth place of $$0.0210$$ is zero. Then: $$0.0210<0.110$$

## Exercises for comparing decimals

### Write the correct comparison symbol (>, < or =).

1. $$\color{blue}{1.25 \ \ \ \ 2.3}$$
2. $$\color{blue}{0.5 \ \ \ \ 0.23}$$
3. $$\color{blue}{3.20 \ \ \ \ 3.2}$$
4. $$\color{blue}{4.58 \ \ \ \ 45.8}$$
5. $$\color{blue}{2.75 \ \ \ \ 0.275}$$
6. $$\color{blue}{5.2 \ \ \ \ 5}$$

1. $$\color{blue}{1.25 < 2.3}$$
2. $$\color{blue}{0.5 > 0.23}$$
3. $$\color{blue}{3.20 = 3.2}$$
4. $$\color{blue}{4.58 < 45.8}$$
5. $$\color{blue}{2.75 > 0.275}$$
6. $$\color{blue}{5.2 > 5}$$

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