Expanded Form of 45.3

Introduction:
In mathematics, decimal fractions are a way to represent numbers that are not whole numbers. They include a decimal point, which separates the whole number part from the fractional part. Expanded form is a way to break down a number and express it as the sum of its place values.

Decimal Place Values:
To understand the expanded form of decimal fractions, it is important to know the place values of the digits in a decimal number. The place values to the right of the decimal point are powers of 10, with the first digit after the decimal point representing tenths, the second digit representing hundredths, the third digit representing thousandths, and so on.

45.3 in Expanded Form:
To express the decimal fraction 45.3 in expanded form, we need to identify the place values of each digit.

- The digit 4 is in the tens place, which represents 4 * 10 = 40.
- The digit 5 is in the ones place, which represents 5 * 1 = 5.
- The digit 3 is in the tenths place, which represents 3 * (1/10) = 0.3.

Therefore, the expanded form of 45.3 is 40 + 5 + 0.3.

Expanded Form:
The expanded form of 45.3 can be written as the sum of its place values:

45.3 = 40 + 5 + 0.3

Conclusion:
In conclusion, the decimal fraction 45.3 can be expressed in expanded form as 40 + 5 + 0.3. Expanded form helps us understand the value of each digit in a number and how they contribute to the overall value. It is an important concept in mathematics that allows us to break down numbers and represent them in a more detailed and comprehensive way.