Transcript Absolute Value

Definitions:
Mixed Number – Is a number that contains a whole number
greater than one and a fraction.
Terminating Decimals – Are decimals that end or “terminate”.
For example, 3.67 and 4.192 are terminating decimals.
Repeating Decimals – Are decimals that have a block of one or
more digits that repeat without ending. For example, 0.666… or
0.4545… are repeating decimals.
Writing Decimals as Fractions or Mixed Numbers
Example 1: 0.23
0.23
Say twenty-three
hundredths
23
100
Then put 23 over 100.
This is the final answer.
Example 2: 0.375
0.375
375
1000
375 ÷ 25
1000 ÷ 25
Say three hundred and
seventy five thousandths
Put 375 over 1000
Reduce
15
40
÷5
÷5
Reduce
3
8
Final answer
Convert the following decimals as fractions. Reduce, if necessary.
1.) 0.36
2.) 0.225
3.) 1.52
Common Fractions and Equivalent Decimals
Fractions
Decimals
1
10
1
5
1
4
1
3
2
5
1
2
3
5
2
3
3
4
4
5
Writing Fractions as Decimals
Option 1: When It’s Possible to Write Equivalent Fractions
7
Example 1:
20
7 x 5 35

x
5
20
100
35
 0.35
100
7
Multiply 20 by 5 so
that the denominator
is 100.
Write
35
as a decimal.
100
Writing Fractions as Decimals
Option 2: When Equivalent Fractions Can’t Be Written
2
Example2: 5
3
0.666
3 2.000
 18
20
 18
20
 18
Divide 2 by 3.
2
5.6
Final answer
Convert the following fractions to decimals.
1.)
3
5
2.) 7
8
3.) 5
1
9
Order the fractions and decimals from least to greatest.
1.) 0.5, 0.37,
1
5
2.) 3 , 0.8, 7
4
10
Real-World Application
3
A caterpillar is 1 inches long. What is the caterpillar’s length as a
8
decimal?