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Maths ClubPowerpointpresentation
INTEGERSIntroduction:In class VI, we read about integers and various operations on them. We shall review them here and stu...
What are Integers ?All natural numbers, 0 and negatives of counting numbers are called Integers.Thus,…., -4, -3, -2, -1, 0...
Positive    Integers:1, 2, 3, 4,…., etc, are all positive integers
Negative    Integers-1, -2, -3, -4,…., etc, are all negative integers.
ZeroZero is an integer which is neither positive nor negative.
Addition of IntegersRule 1: If two positive or two negative  integers are added, we add their values  regardless of their ...
Rule 2: To add a positive and a negative integer, we find the difference between their numerical values regardless of thei...
Eg: Add (i) -47 +18     (ii) - 29 +52Solution: Using the rule for addition of integers with unlike signs, we have:  (i) -4...
Subtraction of IntegersFor any integers a and b, we define, a-b= a+(-b).Eg: Subtract:    (i) 8 from 5Solution:    we have:...
(ii) -6 from 3Solution: we have:(ii) 3 –(-6)=3+ {negative of (-6)}= 3 + 6= 9(iii) 5 from (-5)Solution:     we have:(iii) (...
Multiplication of IntegersRule 1: To find the product of two   integers with unlike signs, we find the   product of their ...
Rule 2: To find the product of two   integers with the same signs, we find   the product of their values regardless   of t...
Division of IntegersRule1: For dividing one integers by the   others, the two having unlike, we divide   their values rega...
Rule 2: For dividing one integer by the   other having like signs, we divide their   values regardless of their signs and ...
Made By-       Naman Bisht         VII-D
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Integers

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Transcript of "Integers"

  1. 1. Maths ClubPowerpointpresentation
  2. 2. INTEGERSIntroduction:In class VI, we read about integers and various operations on them. We shall review them here and study the various properties satisfied by various operations on them.
  3. 3. What are Integers ?All natural numbers, 0 and negatives of counting numbers are called Integers.Thus,…., -4, -3, -2, -1, 0, 1, 2, 3, 4,…., etc, are all integers.
  4. 4. Positive Integers:1, 2, 3, 4,…., etc, are all positive integers
  5. 5. Negative Integers-1, -2, -3, -4,…., etc, are all negative integers.
  6. 6. ZeroZero is an integer which is neither positive nor negative.
  7. 7. Addition of IntegersRule 1: If two positive or two negative integers are added, we add their values regardless of their signs and give the sum their common sign.Eg: Add (i) 36 and 27, (ii) -31 and -25Solution we have:(i) +36 +27=+63(ii) -31 -25=-56
  8. 8. Rule 2: To add a positive and a negative integer, we find the difference between their numerical values regardless of their signs and give the sign of the integer with the greater value to it.REMARK In order to add two integers of unlike signs, we see which is more and by how much.
  9. 9. Eg: Add (i) -47 +18 (ii) - 29 +52Solution: Using the rule for addition of integers with unlike signs, we have: (i) -47 +18 =-29 (ii)-29 +52 =+23
  10. 10. Subtraction of IntegersFor any integers a and b, we define, a-b= a+(-b).Eg: Subtract: (i) 8 from 5Solution: we have: (i) 5 – 8= 5 +(negative of 8)=5 +(-8)=-3
  11. 11. (ii) -6 from 3Solution: we have:(ii) 3 –(-6)=3+ {negative of (-6)}= 3 + 6= 9(iii) 5 from (-5)Solution: we have:(iii) (-5)-5 =(-5)+(negative of 5) =(-5)+(-5)=-10(iv) -8 from -6Solution: we have:(iv) -6-(-8)=(-6)+(negative of -8)= (-6)+8=2
  12. 12. Multiplication of IntegersRule 1: To find the product of two integers with unlike signs, we find the product of their values regardless of their signs and give a minus sign to the product.Eg: (i)6x(-5) (ii)(-7)x9Solution: We have:(i)6x(-5)=-30 (ii) (-7)x9=-63
  13. 13. Rule 2: To find the product of two integers with the same signs, we find the product of their values regardless of their signs and give a plus sign to the product.Eg: (i)12x16 (ii)(-25)x(-19)Solution: we have:(i) (12x16)=192 (ii)(-25)x(-19)=475
  14. 14. Division of IntegersRule1: For dividing one integers by the others, the two having unlike, we divide their values regardless of their signs and give a minus sign to the quotient.Eg: Evaluate(i) (-48)/12 (ii)144/-16Solution: We have:(i)(-48)/12=-4 (ii)144/-16=-9
  15. 15. Rule 2: For dividing one integer by the other having like signs, we divide their values regardless of their signs and give a plus sign to the quotient.Eg: Evaluate(i)98/14 (ii)(-48)/(-16)Solution: we have:(i)98/14=7 (ii)(-48)/(-16)=3
  16. 16. Made By- Naman Bisht VII-D

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