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