the whole numbers l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
THE WHOLE NUMBERS PowerPoint Presentation
Download Presentation
THE WHOLE NUMBERS

Loading in 2 Seconds...

play fullscreen
1 / 15

THE WHOLE NUMBERS - PowerPoint PPT Presentation


  • 88 Views
  • Uploaded on

THE WHOLE NUMBERS. Z +3 -5 -9 . . . From the hot-air balloon, the radar falls down into the water. What is the distance from the hot-air balloon to the radar? What is the distance from the helicopter to the subamarine?.

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 'THE WHOLE NUMBERS' - panthea


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
the whole numbers

THE WHOLE NUMBERS

Z

+3 -5 -9 . . .

slide2
From the hot-air balloon, the radar falls down into the water. What is the distance from the hot-air balloon to the radar?
  • What is the distance from the helicopter to the subamarine?
slide3
How many floors are there between the shop (0) and the parking (-2)?
  • And how many floors are there between the restaurant (1) and the gymnasium (-1)?
slide4
What’s the avg. temperature in the Sahara Desert?
  • What’s the avg. temperature in Alaska?
1 the whole numbers set
1.- The Whole Numbers Set.
  • As you can see, the Natural Numbers N = {0, 1, 2, ...} are not enough to express many life situations (places under the sea, flats under ground, temperatures below zero,...)
  • We need more numbers.
  • We must add new numbers to the set of the Natural Numbers, the Negative Numbers{..., -3, -2, -1}
  • All these numbers are called The WholeNumbers Z = {..., -3, -2, -1, 0, 1, 2, ...}
slide6
The sign of a whole number

If the whole number is a natural number, we can writte it with the sign + before it. Ex: +5, +7

The sign is positive

If the whole number is not a natural number, we must writte it with the sign – before it:

Ex: -5, -9

The sign is negative

slide7
The absolute value of a whole number.

The absolute value of a whole number is the same number but always positive.

Ex: I -7 I = 7

I 4 I = 4

  • The opposite number of a whole number.

The opposite number of a whole number is the same number but with the opposite sign.

Ex: The opposite of 5 = -5

The opposite of -3 = 3

2 addition and subtraction
2.- Addition and Subtraction
  • 1 case: Both numbers have the same sign

We add the absolute values and we put the sign. Ex: 5 + 2 = 7

-2 -10 = -10

  • 2 case: The numbers have different signs

We subtract the absolute values and we put the sign of the greatest. Ex: -2 + 7 = 5

4 - 9 = -5

3 multiplication and division
3.- Multiplication and Division

The sign rule:

(+) * (+) = (+) (+) : (+) = (+)

(+) * ( - ) = ( -) (+) : ( - ) = ( -)

(-) * (+) = (+) (-) : (+) = (+)

(-) * (-) = (+) (-) : (-) = (+)

slide10
Example:

(+5) * ( - 4) = - 20

(-5) * ( - 4) = + 20

(+9) * ( + 7) = + 63

(-9 ) * ( + 7) = - 63

slide11
Example:

(-20) : ( - 4) = + 5

(-20) : ( + 4) = - 5

( +63 ) : ( + 7) = + 63

( +63 ) : ( - 7) = - 63

4 operations hierarchy
4.- Operations hierarchy

1st. First, solve the parenthesis

2nd. After that, solve the multiplication and division operations.

3rd. Finally, solve the addition and the subtraction operations.

slide13
Example:

15 – 3 * [ 7 – ( -6 ) : (+3)] =

15 - 3 * [ 7 - (-2)] =

15 – 3 * [ +9] =

15 – 27 =

-12

5 activities
5.- Activities
  • 1. Use whole numbers, positive or negative, to express each situation:
  • A helicopter flies at 100 m .................
  • A diver swims 15 m underwater...........
  • A submarine navigates 50 m underwater....................................................
  • An airplane flies 10.000 m above the sea..
  • Mt. Everest rises 8.845 m above sea level.
6 on the internet
6.- On the internet
  • http://bilingualproject.wikispaces.com/Resources
  • http://www.youtube.com/watch?v=0wteb5T2PmM
  • http://www.mathgoodies.com/lessons/toc_vol3.html