Understanding Decimal Numbers | Definition, Place Values, and Application

Decimal Number

A decimal number is a number that includes a decimal point to separate the whole number part from the fractional part

A decimal number is a number that includes a decimal point to separate the whole number part from the fractional part. It is a way to represent numbers that are not whole or integers. In a decimal number, the digits on the right side of the decimal point are values less than one.

For example, consider the decimal number 5.25. In this case, the whole number part is 5, and the fractional part is .25. The decimal point separates the whole number part from the fractional part.

Each digit in a decimal number has a specific place value. The place values to the right of the decimal point are powers of 10, starting from 10^-1 (tenths), 10^-2 (hundredths), 10^-3 (thousandths), and so on. In the example 5.25, the 2 is in the tenths place, and the 5 is in the units place. The place value of the digits to the right of the decimal point decreases as we move from left to right.

Decimal numbers are commonly used for measurements, money, and calculations involving accuracy and precision, where whole numbers alone may not be sufficient. They allow for more precise representations of quantities.

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