What is 1/10 as a decimal?

1/10 as a decimal is 0.1

Want to practice?

Question 1Convert the fraction

What is 1/10 written as a decimal?

Answer

0.1.

Divide 1 by 10.

Question 2Check with multiplication

How can you check the decimal value of 1/10?

Answer

Multiply 0.1 by 10; the result is 1.

Multiplication reverses the division used to convert the fraction.

Question 3Convert to a percentage

What percentage is equivalent to 1/10?

Answer

10%.

Multiply the decimal 0.1 by 100.

Question 4Place the value on a number line

Between which two consecutive whole numbers does 1/10 lie?

Answer

It lies between 0 and 1.

Its decimal value is 0.1.

Write the fraction 1/10 as a decimal without the long division.

Solution

Fractions have two parts- the numerator and the denominator. The numerator is the number at the top of the fraction and the denominator is the number at the bottom of the fraction.

All the fractions can be converted to decimals by dividing the numerator by the denominator. Some fractions can be converted to decimal without actually doing the division.

This is the case when the denominator of the fraction is a number that is 1 followed by one or more zeros like 10, 100, 1000, and so on.

The rule to convert such a fraction to a decimal is that the number of zeros in the denominator is the same as the number of digits the decimal point is to move to the left side.

Here our fraction  $$\frac1{10}$$ can be directly converted to decimal without dividing since we have the number 10 in the denominator. So the number of digits that the decimal point has to be moved is 1.

$$\frac{\mathbf1}{\mathbf{10}}\boldsymbol=\mathbf0\boldsymbol.\mathbf1$$

We can also try the division method to convert the given fraction to decimal.

Remember

Here are some common terms you should be familiar with.

• In the fraction $$\frac1{10}$$, the number 1 is the dividend (our numerator)
• The number 10 is our divisor (our denominator).

You may be interested in such a topic: what is 1/9 as a decimal fraction?

Find More Fractions to Decimals

1/1 = 1	1/8 = 0.125	3/4 = 0.75	7/9 = 0.7	11/16 = 0.6875	8/9 = 0.8	7/8 = 0.875	4/5 = 0.8
1/2 = 0.5	1/9 = 0.1	2/5 = 0.4	3/10 = 0.3	15/32 = 0.4687	7/10 = 0.7	5/9 = 0.5	4/7 = 0.571
1/3 = 0.3	1/10 = 0.1	5/6 = 0.83	2/11 = 0.18	3/5 = 0.6	3/11 = 0.27	9/10 = 0.9
1/4 = 0.25	1/11 = 0.09	2/7 = 0.28571	5/11 = 0.45	3/7 = 0.428571	6/11 = 0.54	4/11 = 0.36
1/5 = 0.2	1/12 = 0.083	5/7 = 0.71428	8/11 = 0.72	6/7 = 0.85714	7/12 = 0.583	7/16 = 0.4375
1/6 = 0.16	1/16 = 0.0625	3/8 = 0.375	5/12 = 0.416	5/8 = 0.625	5/16 = 0.3125	15/16 = 0.9375
1/7 = 0.142857	2/3 = 0.6	2/9 = 0.2	3/16 = 0.1875	4/9 = 0.4	13/16 = 0.8125	19/32 = 0.5937