Mathletes Fab Five Divide. 1. 2. 3. 1) 122 2) 1.22 3) 0.5.

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


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


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)

Mathletes Fab Five Divide. 1. 2. 3. 1) 122 2) 1.22 3) 0.5.

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