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CHANGING FRACTIONS TO DECIMALS. LET’S REVIEW WHAT WE STUDIED. Divide 2.0 ÷ 5=0.4 3.0 ÷ 4=0.75 1.0 ÷ 8=0.125 1.0 ÷ 4=0.25 4.0 ÷ 5=0.8. Changing fractions to decimals. Fractions with denominators of 10, 100, 1000 can be written as a decimal using place value. - PowerPoint PPT Presentation
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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