# Fractions As Decimals by yurtgc548

VIEWS: 7 PAGES: 39

• pg 1
```									                                        Take
Fractions     out
a
Calculator!

Write each improper fraction as a mixed number.
1.) 32          2.) 40            3.) 11
5                3                 7
Write each mixed number as and improper fraction.
4.) 3 2/5       5.) 9 ¼          6.) 2 1/8
Correct Homework
• If you did not write your full name, date, and
period on your paper take off 1 point.
• Take off 1 point for every problem you did
NOT do.
• If you did the entire assignment and showed
your work give yourself a 10.
• Take out your red pen to make homework
corrections.
• If you only did once side of your homework
you get half credit 5 out of 10.
• Put your score on your paper out of 10.
For Learning to Happen!

•Take out a calculator.
•Remove all other thoughts from your mind.
•Pay close attention to this lesson.
•Try all of the examples.
•Ignore all other distractions.
Number Systems
Repeating Decimal
Terminating Decimal
Change a Fraction to a Decimal
Change a Decimal to a Fraction
TAKE OUT A CALCULATOR
REVIEW NUMBER SYSTEMS
Natural Numbers - Natural counting numbers.
1, 2, 3, 4 …

Whole Numbers - Natural counting numbers and zero.
0, 1, 2, 3 …

Integers - Whole numbers and their opposites.
… -3, -2, -1, 0, 1, 2, 3 …

Rational Numbers - Integers, fractions, and decimals.
2                        2
Ex:   , -0.8 , 2.39, 14 , -3
3                        5
Rational Numbers - Any number that
2       5      can be written as a
, 4
5       7      fraction.
7 ,  18       18
0.007               
1000              1
Fractions/Decimals               Integers
7 ,3.04      1    ...  3,2,1, 0, 1, 2, 3...
5.9,          , 1
8             2
Negative Integers       Wholes
...  3,2,1          0, 1, 2, 3...
Zero         Naturals
0           1, 2, 3...
Venn Diagram
Rationals
6.7                           0.8
Integers
5         11   Wholes
5        3
                              0           2
9                                          7
Naturals
1, 2, 3...
Rational Numbers
Rational numbers that can be
written as decimals are
described as either
REPEATING DECIMALS or
TERMINATING DECIMALS.
Terminating Decimal
Decimal
Is a decimal that stops. The decimal terminates
if you reach a remainder of zero when you
s 1  0.5
divide.

2
Repeating Decimal
Is a decimal that shows a pattern of repeating
digits.
4
 0.36
11
What type of
decimal is this?
0.6          Terminating
0.46464646   Repeating
0.75         Terminating
0.3842       Terminating
0.3333333    Repeating
Decimal Place
Value “and”
Decimals are read as
4 3 1 6
2 ___ ___ ___ ___ ___ ___
___ , ___

Ten Thousandths
Thousandths
Thousands

Hundredths
Ones
Tens

Tenths
Hundreds

Read as 243 and 16 hundredths
Decimal Place Value

2 3 8
4 ___ ___ ___ ___
___ , ___ ___ ___

Ten Thousandths
Thousandths
Thousands

Hundredths
Ones
Tens

Tenths
Hundreds

Read as 4 and 238 thousandths
Decimal Place Value

9 0 1 3
2 ___ ___ ___ ___ ___
___ , ___ ___

Ten Thousandths
Thousandths
Thousands

Hundredths
Ones
Tens

Tenths
Hundreds

Read as 29 and 13 thousandths
Decimal Place Value

0 0 0 1
0 ___ ___ ___ ___
___ , ___ ___ ___

Ten Thousandths
Thousandths
Thousands

Hundredths
Ones
Tens

Tenths
Hundreds

Read as 1 ten thousandths
How do we say this
decimal?

0.6   Six Tenths

It is written as
the fraction 6/10
How do we say
this decimal?

0.3   Three Tenths

It is written as
the fraction 3/10
How do we say
this decimal?

0.52   Fifty Two Hundredths

It is written as
the fraction 52/100
How do we say
this decimal?

0.31   Thirty One Hundredths

It is written as
the fraction 31/100
How do we say
this decimal?

0.410   Four Hundred and
Thousandths

It is written as
the fraction 410/1000
How do we say
this decimal?

0.381   Three Hundred and
Eighty One Thousandths

It is written as
the fraction 381/1000
To A Fraction: Read the decimal
using the correct place value. How you
say it determines the fraction.
2
0.2 
10
Two tenths
Change These Decimals To Fractions
DECIMAL       FRACTION
50 1
0.50          100 2


8 4
0.8                
10 5
3
0.003         1000
79
0.79          100

0.3331        3331
10, 000
To a Decimal: Divide
the numerator by the
denominator.
Divide the numerator
by the denominator.
.8
4             4
5 40       0.8
5       40    5
0
Divide the numerator
by the denominator.
.75
3              3
4 3 00      0.75
4       28     4
20
20
0
Divide the numerator
by the denominator.
.33
1              1
3 1 00      0.3
3         9    3
10
9
1
Divide the numerator
by the denominator.
.6
3             3
5 30       0.6
5       30    5
0
Converting Fractions and Decimals
Fraction                        Decimal
0 37 5
3                             0.375
8 3.000
8
means 3  8

375 125  3
1000 125 8                      0.375

Say it correctly!
Complete the table.
Fraction        Decimal
4
0.8
5
3
0.03
100
7
0.35
20
6  7
6.7
10
1           9.125
9
8
Repeating Decimals
Fraction                    Decimal
1           0 333...
3 1.000          0.3
3
means 1  3                     0.33

Every rational number (fraction) either
terminates or repeats when written as a
decimal.
Repeating Decimals
Fraction                      Decimal
5           0 4 54 54 ...
11 5.00000         0.454
11

means 5  11
0.454

0.45
Repeating Decimals
Fraction                 Decimal
5          0 8 33...
6 5.000        0.83
6

means 5  6               0.833

0.83
Repeating Decimals
Fraction                     Decimal
5           0 41 6 6 ...
12 5.0000         0.416
12

means 5  12
REMEMBER:
To Always Show Your Work
Take out your study guide!!!
#4Decimal
Terminating Decimal
s
Is a decimal that stops. The decimal terminates
if you reach a remainder of zero when you
divide.        1
 0.5
2
Repeating Decimal
Is a decimal that shows a pattern of repeating
digits.
4
 0.36
11
#5
Decimal Place
Value “and”
Decimals are read as
4 3 1 6
2 ___ ___ ___ ___ ___ ___
___ , ___

Ten Thousandths
Thousandths
Thousands

Hundredths
Ones
Tens

Tenths
Hundreds

Read as 243 and 16 hundredths
#6
To A Fraction: Read the decimal
using the correct place value. How you
say it determines the fraction.
2
0.2 
10
Two tenths
#7
To a Decimal: Divide the
numerator by the denominator.
.75        3
3      4 3 00           0.75
4        28          4
means 3  4   20
20
0
Name___________
Sept 16, 2009
Period___
Pg. 68 #1-18 and 27-44 All
Calculator allowed but write all problems down for full credit!

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