Decimal Place Value

Decimal place value refers to the value of a digit based on its position within a decimal number. Each position represents a power of ten.

The value of the digit in the tenths place is 4/10.

0.75 can be expressed as 75/100, which simplifies to 3/4.

The value of the digit in the hundredths place is 7/100.

The expanded form of 4.302 is (4 x 1) + (3 x 1/10) + (0 x 1/100) + (2 x 1/1,000).

The value of the digit in the thousandths place is 5/1,000.

To identify the place value, look at the position of the digit relative to the decimal point. The first position to the right is tenths, followed by hundredths, thousandths, etc.

The value of the digit in the ones place is 7.

To convert a decimal to a fraction, write the decimal over its place value (e.g., 0.25 = 25/100) and simplify if possible.

The value of the digit in the hundredths place is 2/100.