Multiplying and Dividing Integers : āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻžā§° āĻā§āĻŖ āĻā§°ā§ āĻāĻžāĻ
Multiplying and Dividing Integers : āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻžā§° āĻā§āĻŖ āĻā§°ā§ āĻāĻžāĻ
- + x + = +
- - x - = -
- + x - = -
- - x + = -
Multiplying Integers -āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻžā§° āĻā§āĻŖ : When two or more numbers are multiplied, the answer is called the product. (āĻĻā§āĻāĻž āĻŦāĻž āϤāĻžāϤā§āϧāĻŋāĻ āϏāĻāĻā§āϝāĻž āĻā§āĻŖ āĻā§°āĻŋāϞ⧠āĻĒā§ā§ąāĻž āĻāϤā§āϤ⧰āĻ product (āĻā§āĻŖāĻĢāϞ) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤)
Rule 1 (āύāĻŋāϝāĻŧāĻŽ ā§§) : When multiplying two integers with the same sign, the product is always positive. (āĻāĻā§ āĻāĻŋāĻšā§āύāϝā§āĻā§āϤ āĻĻā§āĻāĻž āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻž āĻā§āĻŖ āĻā§°āĻŋāϞ⧠āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āϧāύāĻžāϤā§āĻŽāĻ āĻšāϝāĻŧāĨ¤)
Example | āĻāĻĻāĻžāĻšā§°āĻŖ : (−3) × (−3) = 9, Negative × Negative = Positive (āĻāĻŖāĻžāϤā§āĻŽāĻ × āĻāĻŖāĻžāϤā§āĻŽāĻ = āϧāύāĻžāϤā§āĻŽāĻ)
Rule 2 (āύāĻŋāϝāĻŧāĻŽ ⧍) : When multiplying two integers with different signs, the product is always negative. (āĻāĻŋāύā§āύ āĻāĻŋāĻšā§āύāϝā§āĻā§āϤ āĻĻā§āĻāĻž āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻž āĻā§āĻŖ āĻā§°āĻŋāϞ⧠āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āĻāĻŖāĻžāϤā§āĻŽāĻ āĻšāϝāĻŧāĨ¤)
Example | āĻāĻĻāĻžāĻšā§°āĻŖ : 8 × (−5) = −40 , Positive × Negative = Negative (āϧāύāĻžāϤā§āĻŽāĻ × āĻāĻŖāĻžāϤā§āĻŽāĻ = āĻāĻŖāĻžāϤā§āĻŽāĻ)
Dividing Integers : āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻžā§° āĻāĻžāĻ : When two numbers are divided, the answer is called the quotient. (āĻĻā§āĻāĻž āϏāĻāĻā§āϝāĻž āĻāĻžāĻ āĻā§°āĻŋāϞ⧠āĻĒā§ā§ąāĻž āĻāϤā§āϤ⧰āĻ quotient (āĻāĻžāĻāĻĢāϞ) āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤)
- + ÷ + = +
- - ÷ - = +
- + ÷ - = -
- - ÷ + = -
Rule 1 (āύāĻŋāϝāĻŧāĻŽ ā§§) : When dividing two integers with the same sign, the quotient is always positive. (āĻāĻā§ āĻāĻŋāĻšā§āύāϝā§āĻā§āϤ āĻĻā§āĻāĻž āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻž āĻāĻžāĻ āĻā§°āĻŋāϞ⧠āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āϧāύāĻžāϤā§āĻŽāĻ āĻšāϝāĻŧāĨ¤)
Example | āĻāĻĻāĻžāĻšā§°āĻŖ : (−16) ÷ (−8) = 2, Negative ÷ Negative = Positive (āĻāĻŖāĻžāϤā§āĻŽāĻ ÷ āĻāĻŖāĻžāϤā§āĻŽāĻ = āϧāύāĻžāϤā§āĻŽāĻ)
Rule 2 (āύāĻŋāϝāĻŧāĻŽ ⧍) : When dividing two integers with different signs, the quotient is always negative. (āĻāĻŋāύā§āύ āĻāĻŋāĻšā§āύāϝā§āĻā§āϤ āĻĻā§āĻāĻž āĻĒā§ā§°ā§āĻŖāϏāĻāĻā§āϝāĻž āĻāĻžāĻ āĻā§°āĻŋāϞ⧠āĻĢāϞ āϏāĻĻāĻžāϝāĻŧ āĻāĻŖāĻžāϤā§āĻŽāĻ āĻšāϝāĻŧāĨ¤)
Example | āĻāĻĻāĻžāĻšā§°āĻŖ : 27 ÷ (−3) = - 9, Positive ÷ Negative = Negative (āϧāύāĻžāϤā§āĻŽāĻ ÷ āĻāĻŖāĻžāϤā§āĻŽāĻ = āĻāĻŖāĻžāϤā§āĻŽāĻ)