Multiplying more than two integers
Rules for Multiplication of integers The product of two positive integers is a positive integer The product of two negative integers is a positive integer The product of a positive integer and negative integer is a negative integer
Multiplying Integers When multiplying more than two integers, we just have to multiply two integers at a time by putting parenthesis Example: a x b x c = (a x b) x c (or) a x b x c = a x (b x c) Both product yields the same result, as Multiplication is always holds for Associative property
Multiplying Integers Example 1 : (-4) X (-6) X (-8) Solution: By putting parenthesis for first two integers , we have (-4) X (-6) X (-8) = [ (-4) x (-6) ] x (-8) = (+24) x (-8) - 192 As per sign rule, (-) x (-) = + As per sign rule, (+) x (-) = - Another method: By putting parenthesis for last two integers , we have (-4) X (-6) X (-8) = (-4) x [ (-6) x (-8) ] = (-4) x +48 = - 192 As per sign rule, (-) x (-) = + As per sign rule, (-) x (+) = - Answer: (-4) X (-6) X (-8) = - 192
By putting parenthesis for first two integers , we have Example 2 : (-12) X 6 X (-10) By putting parenthesis for first two integers , we have (-12) X 6 X (-10) = [ (-12) X 6 ] X (-10) = (- 72) X (-10) = 720 As per sign rule, (-) x (+) = - As per sign rule, (-) x (-) = + Answer: (-12) X 6 X (-10) = 720 Example 3 : (-5) X 8 X (-4) X (-3) Solution: By putting parenthesis for first two integers , we have (-5) X 8 x (-4) x (-3) = [(-5) x 8] x [(-4) x (-3)] = -40 x [(-4) x (-3)] By putting parenthesis for last two integers , we have = -40 x +12 = -480 As per sign rule, (-) x (+) = (-) As per sign rule, (-) x (-) = (+) As per sign rule, (-) x (+) = (-)
TRY THESE 3 x 7 x (-4) (-5) x 10 x (-7) (-7) x (-2) x 3 x 5