Concept of Decimal Place Value

Decimals are used to write numbers that are between whole numbers

To write the decimal number represented by the model, we need to count the number of shaded squares

A completely shaded grid represents 1 whole

A square with 34 parts shaded represents 34 hundredths or 0.34 as a decimal

In a number line with 10 divisions, marked from 0 till 0.1, value of each division is 0.01

Decimals are used to write numbers that are between whole numbers

A decimal with one digit after the decimal point names tenths

A decimal with two digits after the decimal point names hundredths

A decimal with three digits after the decimal point names thousandths

Expanded form shows the number expanded into an addition statement

To write in standard form we need to multiply each number with its period and then add

Value of each digit = Digit x Place value. For example, in 12.79, value of 1 = 1 x tens = 1 x 10

Expanded form of 12.79 is 10 + 2 + .7 + .09