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A Powerpoint Presentation on Integers.
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Integers By- Rishabh Singla
Introduction
IntegersThe collection of whole numbers
together withthe numbers -1, -2, -3… is called
integers.
Absolute Value
Absolute Value of an integer is its numerical
value with no regard to sign.Example- |-2|= 2 |21|= 21The vertical bars || indicates the
absolute value.
Ordering Integers
Any integer, say a is greater than any other
integer b if it lies on right of the number line.
a= 5b= -1
Adding And Subtracting Integers
Adding Integers
Case- 1When the integers are of like
signs.
To add two integers of like signs, first add their
absolute value and then put the common signs
before the sum.
Adding Integers
Case- 2When the integers are of unlike
signs.
To add two integers of unlike signs, first we find
the difference of two integers and then put the
sign of greater value before the difference.
Rules for Addition And Subtraction
Sign How to Operate Sign in Answer
+ + + + - - + - + - - Sign of
Greater Value
- + - Sign of Greater Value
Rules Multiplication And Division
Sign How to Operate Sign In Answer
+ + X or / +
- - X or / +
+ - X or / - - + X or / -
Properties Of Addition, Subtraction, And
Multiplication1. Closure Property:-If a and b are integers then a+b
will also be aninteger.If a and b are integers then a-b
will also be anInteger.If a and b are integers then aXb
will also be anInteger.
Properties Of Addition, Subtraction, And
Multiplication2. Commutative Property:-If a and b are integers then a+b =
b+aIf a and b are integers then aXb =
bXa
Properties Of Addition, Subtraction, And
Multiplication3. Associative Property:-If a, b, and c are integers, then
(a+b)+c = a+(b+c).If a, b, and c are integers, then
(aXb)Xc= aX(bXc)
Properties Of Addition, Subtraction, And
MultiplicationAdditive Identity:-0 is the Additive Identity. If a is
any integer, thena+0=a.
Multiplicative Identity:-1 is the Multiplicative Identity. If a
is anyinteger, then aX1=a.
Properties Of Addition, Subtraction, And
MultiplicationProperty of Zero(0):-If a is any integer, then aX0= 0.
Properties Of Addition, Subtraction, And
MultiplicationAdditive Inverse:-The opposite of any number is called
its AdditiveInverse. Example- Additive Inverse of -5=5.Sum of any number and its additive
inverse isalways zero(0). Example- -5 + 5= 0.
Properties Of Addition, Subtraction, And
MultiplicationDistributive Property Of
Multiplication OverAddition:-If a, b, and c are integers, then
aX(b+c)=(aXb)+(aXc).
Properties Of Division
1.a/1 = a2.a/a = 13.a/(-a)= -14.a/(-1)= -a5.0/a = 06.a/0 = Not Defined(only True if a = 0).
Brackets
1. [ ] is known as rectangular or big brackets.
2. { } is known as curly brackets.3. ( ) is known as round or small
brackets.4. -- is generally known as bar
brackets or vinculum.
BODMAS
B - Bracket O - OfD - DivisionM - MultiplicationA - AdditionS - Subtraction
Thank You
Submitted To- Mrs. Dolly Tandon MamMade By - Rishabh Singla VII- J Roll No- 09