F1 Math C6 Integers1ab

8/9/2019 F1 Math C6 Integers1ab

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Operations withIntegers

PowerPoint

Created By: Miss Henry


2/19

What is an Integer?

• A whole number that is either greaterthan 0 (positive) or less than 0

(negative)

• Can be isuali!ed on a number line:


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What is a "umber #ine?

•A line with arrows on both ends thatshow the integers with slash mar$s

•Arrows show the line goes to in%nity in

both dire&tions ' ( and )*

•+ses a negatie sign ')* with negatienumbers but no positie sign '(*

with positie numbers•,ero is the origin and is neither

negatie nor positie


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What are Opposites?

• -wo integers the same distan&e .rom theorigin/ but on di0erent sides o. !ero

•1ery positie integer has a negatie

integer an e2ual distan&e .rom the origin

•13ample: -he opposite o. 4 is

)4•13ample: -he opposite o. )5 is

5


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What is Absolute

6alue?•7istan&e a number is .rom !ero on anumber line 'always a positie number*

•Indi&ated by two erti&al lines 8 8

•1ery number has an absolute alue

•Opposites hae the same absolute aluessin&e they are the same distan&e .rom !ero

•13ample: 8)98 9 and 898 9

•13ample: 8;


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What Can We 7o to Integers?

•Integers are numbers/ so we &an add/subtra&t/ multiply/ and diide them

•1a&h operation has di0erent rules to .ollow


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Adding =ules > ame

igns•I. the integers hae the SAME signs:ADD the numbers @ $eep the same sign

•Positie ( Positie Positie Answer•"egatie ( "egatie "egatie Answer

• 13amples: )3 + (-10) = ? ? = -1

• 6 ( '9* ? ?


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Adding 'ame igns* )

13amples #1. -3 + (-10) Step 1: D Add the #s

Step 2: -D Keep same sign (Both #s arenegative – Answer is negative!)

#2. 6 + (8)

Step 1: Add the #s

Step 2: Keep same sign (Both #s are positive – Answer is positive!)


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Adding =ules > 7i0erent igns

•I. the integers hae the DIFFERE! signs:S"!RA$! the numbers @ use sign o. the

I%%ER number

•Bigger E is Positie Positie Answer

•Bigger E is "egatie "egatie Answer

• 13amples: -13 + (7) = ? ? = -6

• 23 ( ')9* ? ? ;


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Adding '7i0erent igns* )13amples #1. -13 + (7)

Step 1: 4 Subtract the #s

Step 2: )4 Use sign of bigger # (Bigger # isnegative - Answer is negative!)

#2. 5D ( ')9*

Step 1: ; Subtract the #s

Step 2: ; Use sign of bigger # (Bigger # is positive - Answer is positive!)


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ubtra&ting =ules•Put ' * around se&ond number @ its sign

•Change S"!RA$!I& sign to anADDI!I& sign

•Change sign o. 5nd

number to its opposite

•Follow the rules .or ADDI!I&:

)SAME signs: Add @ $eep the same sign)DIFFERE! signs: ubtra&t @

use sign o. bigger E • 13amples: ); > )<

= ? ? =

5

• 9 ) 5D ? ?


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ubtra&ting ) 13amples #1. ); > )< #2.G ) 5D

Step 1: ); > ')'5D*

Step 2: ); ( ')


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Multiplying =ules

• Multiply the numbers li$e usual•I. the integers hae the SAME signs:

AS*ER will be +&SI!I,E

•I. the integers hae DIFFERE! signs:AS*ER will be E%A!I,E

• 13amples: )D · (-5) = ? ? = 15

• -9 · (-10) = ? ? = 90

• -7 ? ? )G

• 6 · -6 = ? ? = -36


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Multiplying ) 13amples

• #1. )D · (-5) #2. -9 · (-10)

• ; &u%tip%' the numbers G<

• ; Same signs ositive Answer G<

#3. ) · 7 #4. 6 · -6

49 &u%tip%' the numbers D4

)G *ifferent signs +egative Answer )D4


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7iiding =ules• 7iide the numbers li$e usual

•I. the integers hae the SAME signs:AS*ER will be +&SI!I,E

•I. the integers hae DIFFERE! signs:AS*ER will be E%A!I,E

• 13amples: )DD ÷ (-3) = ? ? =

11

• -90 ÷ (-10) = ? ? = 9

• -20 J 5 ? ? )<

• ÷ - = = -


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7iiding ) 13amples

• #1. )DD ÷ (-3) #2. -90÷ (-10)

• *ivide the numbers G

• Same signs ositive Answer G #3. )5


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Mi3ed Pra&ti&e

Solve the olloing pro/les:

)G ( )G

)9

)

)59

)< ) ')G*

G

)D; J

);

; (

)5;)<

)5D ) G

)D5


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=eiew

• 6isit the website below .or additionalin.ormation on integers:

http:KKwwwLmathL&omKs&hoolKsube&tK

lessonsK+#


19/19

=eiew

• 6isit the website below .or additionalin.ormation on integers:

http:KKwwwLmathL&omKs&hoolKsube&tK

lessonsK+#

F1 Math C6 Integers1ab

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