Answer: 10% as a decimal is 0.1.

A percentage represents a fraction or ratio where the entirety always equals 100. A decimal number is characterized by a whole number part separated from its fractional part by a decimal point. To convert a percentage to a decimal, we divide the percentage by 100.

In this case, we want to convert 10% to a decimal.

Method 1: Writing 10% as a decimal using the division method

To convert 10% to a decimal using the division method, we divide 10 by 100:

10/100 = 0.1

Therefore, 10% as a decimal is 0.1.

Method 2: Writing 10% as a decimal by converting the denominator to powers of 10.

To convert 10% to a decimal by converting the denominator to powers of 10, we write 10% as a fraction with 100 as the denominator:

10% = 10​/ 100

To make the denominator a power of 10, we can rewrite 100 as 10²:

10/10²= 10210​

Since 10² = 100 , we get:

10/10² = 10/100 = 0.1

Therefore, 10% in the decimal form is 0.1.

This calculation demonstrates that to convert a percentage to a decimal, we simply divide the percentage by 100, which shifts the decimal point two places to the left. This process allows us to express percentages as decimals, making it easier to perform mathematical operations and comparisons.