Comparing Decimals

A decimal is a fraction expressed in a special form, where the denominator is a power of ten, typically represented with a decimal point.

To compare two decimals, align them by the decimal point and compare digit by digit from left to right.

The symbol '>' means 'greater than', indicating that the number on the left is larger than the number on the right.

The symbol '<' means 'less than', indicating that the number on the left is smaller than the number on the right.

The position of digits in decimals determines their value; digits to the left of the decimal point represent whole numbers, while digits to the right represent fractional parts.

Adding zeros to the right of a decimal does not change its value; for example, 0.5 is equal to 0.50.

0.1 is greater than 0.01 because it represents one-tenth, while 0.01 represents one-hundredth.

To convert a fraction to a decimal, divide the numerator by the denominator.

Decimals can be converted to percentages by multiplying by 100 and adding a percent sign.

Understanding decimal places is important for accurately comparing, ordering, and performing calculations with decimal numbers.