Place Value, Word, Expanded and Standard Forms

Decimals show amounts between two consecutive counting numbers (3,4…)

0.45 is between 0 and 1

3.861 is between 3 and 4

25,196.8 is between 25,196 and 25,197

Decimal word names always end in “-th” or “-ths”

one tenth 0.1four hundredths 0.04seven and three tenths 7.3

The decimal is represented by the word “and” when writing and saying decimals in words.

2.1 = two and one tenth4.5 = four and five tenths17.61 = seventeen and sixty-one hundredths

To write a number containing a whole number and decimal follow these steps:

A. Write the whole number in words

B. Write “and”

C. Write the numbers shown in the decimal

D. Write the last place a digit occupies in the decimal (the farthest right)

32.46A. thirty-two

B. and

C. forty-six

D. hundredths

thirty-two and forty-six hundredths

Write the place individually

5.306 =

Write the place individually

5.306 = 5

Write the place individually

5.306 = 5 + 0.3

Write the place individually

5.306 = 5 + 0.3 + 0.006

Write the place individually

5.306 = 5 + 0.3 + 0.006

Multiply the digit by the value of the corresponding place

5.306 =

Multiply the digit by the value of the corresponding place

5.306 = (5 x 1)

Multiply the digit by the value of the corresponding place

5.306 = (5 x 1) + (3 x 0.1)

Multiply the digit by the value of the corresponding place

5.306 = (5 x 1) + (3 x 0.1) + (6 x 0.001)

Multiply the digit by the value of the corresponding place

5.306 = (5 x 1) + (3 x 0.1) +(6 x 0.001)

To put a number in standard (numeral) form from expanded form, just add all places together.

8 + 0.1 + 0.05 + 0.003

To put a number in standard (numeral) form from expanded form, just add all places together.

8 0.1 0.05 0.003

To put a number in standard (numeral) form from expanded form, just add all places together (be sure to line up your decimals).

80.10.050.003+

To put a number in standard (numeral) form from expanded form, just add all places together.

80.10.050.003+8.153

Standard form of one hundred thirty and three tenths

Expanded form of 0.56

Word form of 0.234