ca math 3.1 fractions and decimals. terminating decimal – when the conversion of a fraction to...

CA Math

3.1Fractions and Decimals

Terminating decimal – When the conversion of a fraction to decimals end with a remainder of zero.

Writing Fractions as Decimals (review)

For example,Fraction Decimal

18

8 1.0000 1

8 20

2

1640

5

400

0.125

Terminates

When the same block of digits in a decimal repeats without end, that is called a repeating decimal.

Writing Fractions as Decimals (review)

For example,Fraction Decimal

0.33

13

3 1.0000 3

91 0

3

910

3

91

...

The line on top of the number(s) is called bar notation. It means to repeat that block of number(s).

0.3

Comparing Fractions

If you have a common denominator….

…then compare the numerator

If you do not have a common denominator….

• You can get a common denominator

Or• Do the heart method

4

5

3

5

2 1

5 4

8 5

Comparing a Decimal and Fractions

You can turn them into decimals Or you can turn them into fractions

70.87

80.875

8 7.000

0.875 0.87

70.87

8

10.2

41 2

4 101 1

4 5

5 4

Order From Least to Greatest

3 22 ,2.67,2

5 30.6

5 3.00.6

3 2.0

2.6,2.6,2.673 2

2 ,2 ,2.675 3

Homework

• Page 98 (16-52) even