This document discusses decimals and how to write fractional numbers without fractions by using a decimal point. It provides examples of fractions written as decimals, such as 7/10 written as 0.7. It also explains place value in decimals, such as the tenths place in 12.135 and the thousandths place in 47.891. Finally, it demonstrates how to read decimals out loud, such as one and thirty-eight hundredths for 1.38 and eight hundred fourteen and eight hundred twenty-three thousandths for 814.823.

1. Visualizing
Decimals

2. What is a
decimal? It is a method of writing fractional
numbers without writing a fraction
having a numerator and
denominator.

3. The fraction 7/10 could
be written as the
decimal 0.7. The period
or decimal point
indicates that this is a
decimal number.

4. 9/10
Read the following.
0.9
3/100 0.03
4 5/10 4.5
20 2/100 20.02

5. If the decimal is less
than 1, place a zero
before the decimal
point.
Write 0.7 not .7

7. Determine the place value of the
underlined digit.
12.135
tenths

8. Determine the place value of the
underlined digit.
47.891
thousandths

9. Determine the place value of the
underlined digit.
89.1246
hundredths

10. Determine the place value of the
underlined digit.
0.45678
Hundred thousandths

11. 1.38
We read 1.38 as “One and
thirty-eight hundredths or 1 and
38 hundredths, where the word
“and” refers to the decimal point.

13. 814.823
The number 814.823 is read and
written as “eight hundred fourteen
and eight hundred twenty-three
thousandths.

14. 1 946.2015
The number 1 946.2015 is read and
written as “One thousand nine
hundred forty-six and two
thousand fifteen ten-thousandths.