Mathletes Fab FiveDivide.

1.

2.

3.

1)122

2)1.22

3)0.5

7326

32.76

0.48

Rational Numbers and Decimals

Lesson 3.1

• Any number that can be written as the ratio.

Rational Numbers

a

b

a and b have to be integers

0b

Terminating Decimals

• A decimal that comes to an endExamples:1.340.5678453213.4565

• A decimal that repeats one of more digits infinitely.

Examples:

Repeating Decimals

0.3

5.24

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

• A decimal that terminates or repeats can be written as a fraction and thus is a Rational Number

Rational Number

• Decimals that never end or repeatExample:0.121121112…0.16125931…• Square roots that are not perfect

squares

Irrational Numbers

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

Writing Fractions as Decimals

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

For example,Fraction Decimal

0.33

13

3 1.0000 3

91 0

3

910

3

91

...

Remember the bar notation!

0.3

Start off by dividing the fraction, then putting the decimal together with the whole number.

Writing Mixed Numbers into Decimals

For example,Fraction Decimal

32

5 0.35

.0

030

6

300

2

wholenumber

decimal

6.

Guided Practice

A)

C)

B)

D)

-0.7

-11.125

-0.29

7

5

1

8

111

3

14

-4.3

Homework

•Workbook Page 64 (#1-18 ALL)