Multiplying and Dividing Integers : āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻžā§° āϗ⧁āĻŖ āφ⧰⧁ āĻ­āĻžāĻ—


Multiplying and Dividing Integers āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻžā§° āϗ⧁āĻŖ āφ⧰⧁ āĻ­āĻžāĻ—



  • + x + = +   

  • - x - = -     

  • + x - = -     

  • - x + = -


Multiplying Integers -āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻžā§° āϗ⧁āĻŖ : When two or more numbers are multiplied, the answer is called the product. (āĻĻ⧁āϟāĻž āĻŦāĻž āϤāĻžāϤ⧋āϧāĻŋāĻ• āϏāĻ‚āĻ–ā§āϝāĻž āϗ⧁āĻŖ āϕ⧰āĻŋāϞ⧇ āĻĒā§‹ā§ąāĻž āωāĻ¤ā§āϤ⧰āĻ• product (āϗ⧁āĻŖāĻĢāϞ) āĻŦā§‹āϞāĻž āĻšāϝāĻŧāĨ¤)


Rule 1 (āύāĻŋāϝāĻŧāĻŽ ā§§) : When multiplying two integers with the same sign, the product is always positive. (āĻāϕ⧇ āϚāĻŋāĻšā§āύāϝ⧁āĻ•ā§āϤ āĻĻ⧁āϟāĻž āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻž āϗ⧁āĻŖ āϕ⧰āĻŋāϞ⧇ āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āϧāύāĻžāĻ¤ā§āĻŽāĻ• āĻšāϝāĻŧāĨ¤)


Example | āωāĻĻāĻžāĻšā§°āĻŖ : (−3) × (−3) = 9, Negative × Negative = Positive (āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• × āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• = āϧāύāĻžāĻ¤ā§āĻŽāĻ•)


Rule 2 (āύāĻŋāϝāĻŧāĻŽ ⧍) : When multiplying two integers with different signs, the product is always negative. (āĻ­āĻŋāĻ¨ā§āύ āϚāĻŋāĻšā§āύāϝ⧁āĻ•ā§āϤ āĻĻ⧁āϟāĻž āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻž āϗ⧁āĻŖ āϕ⧰āĻŋāϞ⧇ āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• āĻšāϝāĻŧāĨ¤)


Example | āωāĻĻāĻžāĻšā§°āĻŖ : 8 × (−5) = −40 , Positive × Negative = Negative (āϧāύāĻžāĻ¤ā§āĻŽāĻ• × āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• = āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ•)


Dividing Integers : āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻžā§° āĻ­āĻžāĻ— : When two numbers are divided, the answer is called the quotient. (āĻĻ⧁āϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āĻ­āĻžāĻ— āϕ⧰āĻŋāϞ⧇ āĻĒā§‹ā§ąāĻž āωāĻ¤ā§āϤ⧰āĻ• quotient (āĻ­āĻžāĻ—āĻĢāϞ) āĻŦā§‹āϞāĻž āĻšāϝāĻŧāĨ¤)



  • + ÷ + = +   

  • - ÷ - = +     

  • + ÷ - = -     

  • - ÷ + = -


Rule 1 (āύāĻŋāϝāĻŧāĻŽ ā§§) : When dividing two integers with the same sign, the quotient is always positive. (āĻāϕ⧇ āϚāĻŋāĻšā§āύāϝ⧁āĻ•ā§āϤ āĻĻ⧁āϟāĻž āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻž āĻ­āĻžāĻ— āϕ⧰āĻŋāϞ⧇ āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āϧāύāĻžāĻ¤ā§āĻŽāĻ• āĻšāϝāĻŧāĨ¤)


Example | āωāĻĻāĻžāĻšā§°āĻŖ : (−16) ÷ (−8) = 2, Negative ÷ Negative = Positive (āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• ÷ āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• = āϧāύāĻžāĻ¤ā§āĻŽāĻ•)


Rule 2 (āύāĻŋāϝāĻŧāĻŽ ⧍) : When dividing two integers with different signs, the quotient is always negative. (āĻ­āĻŋāĻ¨ā§āύ āϚāĻŋāĻšā§āύāϝ⧁āĻ•ā§āϤ āĻĻ⧁āϟāĻž āĻĒā§‚ā§°ā§āĻŖāϏāĻ‚āĻ–ā§āϝāĻž āĻ­āĻžāĻ— āϕ⧰āĻŋāϞ⧇ āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• āĻšāϝāĻŧāĨ¤)


Example | āωāĻĻāĻžāĻšā§°āĻŖ : 27 ÷ (−3) = - 9, Positive ÷ Negative = Negative (āϧāύāĻžāĻ¤ā§āĻŽāĻ• ÷ āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ• = āĻ‹āĻŖāĻžāĻ¤ā§āĻŽāĻ•)