Name ___________________________________
Date __________________
Mr. Tallman
Math 8R
Do Now
Reduce the following fractions to their simplest forms.
1)
15
30
2)
9
3)
27
16
24
Identify the place value of each underlined number.
3) 0.34974
4) 4.75
5) 3.89004
________________
_____________________
______________________
Lesson #2
Rational Numbers – Converting Fractions to Decimals and Decimals to Fractions.
Recall the definition of Rational Numbers: _________________________________________________________________________
_________________________________________________________________________________________________________________________
Matching Column: Match each fraction with its equivalent decimal.
1)
2)
3)
1
0.25
2
3
0.5
4
1
0.75
4
In order to convert fractions to decimals that are not as common, we need to use long division.
Example 1) Convert
1
8
into a decimal using long division.
Steps to converting a fraction into a terminating decimal using long division:
Steps
Example
1)
2)
3)
4)
5
Example 2) Convert 2 12 into a decimal using long division.
Now, You Try!
Convert the following fractions into decimals using long division.
3)
5
8
4)
4
25
5)
34
100
We can also convert decimals into fractions.
Example 6) Convert 0.25 into a fraction in lowest terms.
Steps to converting terminating decimals into fractions:
Steps
1) Identify the decimal place value in which the
number terminates.
Example
2) Create a fraction. The numerator is simply the
decimal portion of the number. The denominator is
found by determining which place value the
decimal terminates in. The denominator of the
fraction is that place value. For example, if the
decimal terminates in the tenths place, the
denominator is 10. If the decimal terminates in the
hundredths place, the denominator is 100.
3) Reduce the fraction to lowest terms.
Example 7) Convert 5.422 into a fraction in lowest terms.
Now, You Try!
Convert the following decimals into a fraction in lowest terms.
8) 0.8
9) 0.23
10) 0.128
11) 0.326
12) 0.15
13)
5.3