rational numbers
Download
Skip this Video
Download Presentation
RATIONAL NUMBERS

Loading in 2 Seconds...

play fullscreen
1 / 31

RATIONAL NUMBERS - PowerPoint PPT Presentation


  • 118 Views
  • Uploaded on

RATIONAL NUMBERS. Fractions. INTEGERS. WHAT IS AN INTEGER? The integers consist of the positive natural numbers ( 1 , 2 , 3 , …), their negatives (−1, −2, −3, ...) and the number zero . . RATIONAL NUMBERS. WHAT IS A RATIONAL NUMBER?

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' RATIONAL NUMBERS' - vaughan


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
integers
INTEGERS
  • WHAT IS AN INTEGER?
  • The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero.
rational numbers1
RATIONAL NUMBERS
  • WHAT IS A RATIONAL NUMBER?
  • In mathematics, a rational number (commonly called a fraction) is a ratio or quotient of two integers, usually written as a fractiona/b, where b is not zero.
rational numbers2
RATIONAL NUMBERS
  • WHAT IS A RATIONAL NUMBER?
  • In mathematics, a rational number (commonly called a fraction) is a ratio or quotient of two integers, usually written as a fractiona/b, where b is not zero.
  • EXAMPLES:
  • , 0.25, , -0.125

1

4

-5

4

adding fractions
ADDING FRACTIONS
  • To add two fractions with the samedenominator, add the numerators and place that sum over the common denominator
  • EXAMPLE:

3

5

1

5

4

5

+

=

adding fractions1
ADDING FRACTIONS
  • To Add Fractions with different denominators:
  • Find the Least Common Denominator (LCD) of the fractions
  • Rename the fractions to have the LCD
  • Add the numerators of the fractions
  • Simplify the Fraction
example
EXAMPLE

1

4

1

3

+

adding fractions2
Adding Fractions
  • To make the denominator of the first fraction 12, multiply both the numerator and denominator by 3.

1

4

1

3

x3

?

+

=

x3

?

12

+

=

adding fractions3
Adding Fractions
  • To make the denominator of the second fraction 12, multiply both the numerator and denominator by 4.

1

4

1

3

x4

?

+

=

x4

3

12

?

12

+

=

adding fractions4
Adding Fractions
  • To make the denominator of the second fraction 12, multiply both the numerator and denominator by 4.

1

4

1

3

x4

?

+

=

x4

3

12

4

12

+

=

adding fractions5
Adding Fractions
  • We can now add the two fractions.

1

4

1

3

?

=

+

7

12

3

12

4

12

+

=

try this
TRY THIS

1

3

2

5

?

+

=

try this1
TRY THIS

1

3

2

5

x5

x3

?

+

=

x5

x3

5

15

6

15

?

+

=

try this2
TRY THIS

1

3

2

5

x5

x3

?

+

=

x5

x3

11

15

5

15

6

15

+

=

subtracting fractions
SUBTRACTING FRACTIONS
  • To Subtract Fractions with different denominators:
  • Find the Lowest Common Denominator (LCD) of the fractions
  • Rename the fractions to have the LCD
  • Subtract the numerators of the fractions
  • The difference will be the numerator and the LCD will be the denominator of the answer.
  • Simplify the Fraction
try this3
TRY THIS

2

5

1

3

?

-

=

try this4
TRY THIS

2

5

1

3

x3

x5

?

-

=

x3

x5

6

15

5

15

?

-

=

try this5
TRY THIS

2

5

1

3

x3

x5

?

-

=

x3

x5

1

15

6

15

5

15

-

=

multiplying fractions
MULTIPLYING FRACTIONS
  • To Multiply Fractions:
  • Multiply the numerators of the fractions
  • Multiply the denominators of the fractions
  • Place the product of the numerators over the product of the denominators
  • Simplify the Fraction
multiplying fractions1
Multiplying Fractions
  • To multiply fractions, simply multiply the two numerators

x

=

3

5

?

?

1

3

x

=

multiplying fractions2
Multiplying Fractions
  • Then simply multiply the two denominators.

3

5

3

?

1

3

x

=

x

=

multiplying fractions3
Multiplying Fractions
  • Place the numerator over the denominator.

3

5

3

15

1

3

x

=

x

=

multiplying fractions4
Multiplying Fractions
  • State in simplest form.

3

5

3

15

1

5

1

3

x

=

=

dividing fractions
DIVIDING FRACTIONS
  • To Divide Fractions:
  • Multiply the reciprocal of the second term ( fraction)
  • Multiply the numerators of the fractions
  • Multiply the denominators of the fractions
  • Place the product of the numerators over the product of the denominators
  • Simplify the Fraction
dividing fractions1
Dividing Fractions
  • Example:

3

5

1

3

=

÷

Multiply by the reciprocal…

9

5

3

5

3

1

x

=

try these
TRY THESE
  • 1)
  • 2)

1

4

2

3

x

=

2

5

1

3

÷

=

try these1
TRY THESE
  • 1)
  • 2)

2

3

1

4

2

12

x

=

2

5

1

3

÷

=

try these2
TRY THESE
  • 1)
  • 2)

2

3

1

4

1

6

2

12

x

=

=

2

5

1

3

÷

=

try these3
TRY THESE
  • 1)
  • 2)

2

3

1

4

1

6

2

12

x

=

=

2

5

1

3

÷

=

2

5

3

1

x

=

try these4
TRY THESE
  • 1)
  • 2)

2

3

1

4

1

6

2

12

x

=

=

2

5

1

3

÷

=

2

5

3

1

6

5

x

=

try these5
TRY THESE
  • 1)
  • 2)

2

3

1

4

1

6

2

12

x

=

=

2

5

1

3

÷

=

1

5

2

5

3

1

6

5

1

x

=

=

ad