Which of the following solutions do not follow the rules of multiplication? (i) 23 X(-2) = (-46) (ii) (-3) X (-13) = (-39) (iii) 18 x 5 = 90 (iv) (-9)X 6 = (-54)
Answers
Given :
(i) 23 × (−2) = (−46)
(ii) (−3) × (−13) = (−39)
(iii) 18 × 5 = 90
(iv) (−9) × 6 = (−54)
To Find : Which one do not follow the rules of multiplication
Solution:
rules of multiplication with signs are :
( + ) × ( + ) = ( + )
( + ) × (- ) = ( - )
( - ) × ( + ) = ( - )
( - ) × ( - ) = ( + )
no sign means + sign.
(i) 23 × (−2) = (−46)
( + ) × (- ) = ( - ) Hence rule is followed
(ii) (−3) × (−13) = (−39)
Here ( - ) × ( - ) = (- )
while correct is ( - ) × ( - ) = ( + )
Hence rule is not followed
(iii) 18 × 5 = 90
( + ) × ( + ) = ( + ) Hence rule is followed
(iv) (−9) × 6 = (−54)
( - ) × ( + ) = ( - ) Hence rule is followed
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------------ sign is often dropped before a bracket and between .