changing fractions to decimals

CONFIDENTIAL 1

CHANGING FRACTIONS TO DECIMALS

CONFIDENTIAL 2

LET’S REVIEW WHAT WE STUDIED

Divide1. 2.0 ÷ 5 = 0.42. 3.0 ÷ 4 = 0.753. 1.0 ÷ 8 = 0.1254. 1.0 ÷ 4 = 0.255. 4.0 ÷ 5 = 0.8

CONFIDENTIAL 3

Changing fractions to decimals

Fractions with denominators of 10, 100, 1000 can be written as a decimal using place value.

Any fraction can be written as a decimal using division

CONFIDENTIAL 4

Different Types of Decimals

There are 2 types of decimals:a) Decimals line 0.25, 0.75 etc are called

terminating decimals because the division ends or terminates, when the remainder is zero.

b) A decimal like 0.222222…is called a repeating decimal, because the digits repeat.

CONFIDENTIAL 5

Examples of Repeating Decimal

0.8888888…… = 0.8 means the digit

8 repeats 2.8787878…..= 2.87 the digits 8 and

7 repeats

CONFIDENTIAL 6

Write fractions as Terminating Decimal

METHOD 1 Write 7 as decimal

8

So, 7 = 0.875 8

8 7. 000

- 6 4

60

-56

40

-40

0

0.875

CONFIDENTIAL 7

METHOD – 2

Use a calculator 7 8 = 0.875÷

CONFIDENTIAL 8

Your turn

Write each fraction or mixed numbers as a decimal

1. 1 = 0.125 8 2. ½ = 0.5

CONFIDENTIAL 9

CONFIDENTIAL 10

Write fractions as Repeating Decimals

Write 5 as repeating decimals 11

11 5.0000

- 44

60

-55

50

- 44

60

0.4545

Divide by 11

The pattern will continue

Thus 5 = 0.45

11

CONFIDENTIAL 11

Example – 2

Write 1 1 as decimal. 6

That is, 1 + 1 ÷ 6 = 2.1666…

1.0000

- 6

- 40

- 36

- 40

- 36

- 40

6

0. 16666…

CONFIDENTIAL 12

Your Turn

Write each fraction or mixed number as decimal

a) 4 = 0.4444…. = 0.4 9 b) 3 2 = 3. 66666… = 3.6 3

CONFIDENTIAL 13

PRACTICE PROBLEMS Write each fraction or mixed number as decimal

a) 7 10

b) 9 16

c) 11 13

d) 8 ½

e)15 3 16

f)9 3 11

g) 3 1 3

h)5 5

11

Ans: a) 0.7 b) 0.5625 c) 0.846158 d) 8.5 e) 15.1875 f) 0.272727…

g) 3.333333…. H) 5.454545…..

CONFIDENTIAL 14

PUZZLES !!!! http://www.thekidzpage.com/onlinejigsa

wpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/12-27-06-husky.html

CONFIDENTIAL 15

WORD PROBLEMS

Paul has finished 6 of his work . 11

Represent the fraction as decimal. 6 = 0.54545454…… 11

CONFIDENTIAL 16

Now do it by yourself

The distance traveled by a car is 2 3 miles.

8

Write this mileage as a decimal.

Answer : 2 3 = 2.375 miles 8

CONFIDENTIAL 17

REVIEW

Terminating Decimals are decimals which ends, terminates, when the remainder is zero.

Repeating Decimals are decimals which never ends or its digits are repeating.

CONFIDENTIAL 18

That’s all for today