# What is 3/10 as a decimal?

## Want to practice?

The decimal form of fractions with denominator 1 followed by zeros:

The number of zeros in the denominator of a fraction is the number of decimal points to be shifted to the left in the numerator.

Example:

$$\frac{\mathbf7}{\mathbf{10}}\boldsymbol=\mathbf0\boldsymbol.\mathbf7$$

The denominator 10 has one zero. The decimal shifts one point to the left in the numerator, which is 0.7.

$$\frac{\mathbf4}{\mathbf{100}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{04}$$

Similarly, here the denominator 100 has two zeros. The decimal shifts two points to the left in the numerator, which is 0.04.

## Solution

Let us convert the given fraction $$\frac3{10}$$ similarly.

The denominator 10 has one zero, hence the decimal point shifts one point to the left in the numerator, which is 0.3.

$$\frac{\mathbf3}{\mathbf{10}}\boldsymbol=\mathbf0\boldsymbol.\mathbf3$$

### Alternative Method

On the other hand, the decimal form can also be arrived at by doing the long division.

$$\frac{\mathbf3}{\mathbf{10}}\boldsymbol=\mathbf3\boldsymbol\div\mathbf{10}$$

Divide 3 by 10 using the division method.

We can see that the method of converting fractions to decimals by shifting the decimal point is easier than the long division method.

## Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac3{10}$$, the number 3 is the dividend (our numerator)
• The number 10 is our divisor (our denominator)

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