Question

find if addition,subraction,multiplication and division are associative for integers and rational numbers by giving an examples for each

Answer 1

hii mate
here is your answer
according to the question,
show that addition holds over associative or not :
》(1+2)+5□1+(5+2)
》(3)+5□1+(7)
》8=8
● HENCE ADDITION HOLDS OVER ASSOCIATIVITY

SUBTRACTION holds over associativity or not :
for e.g.:
》(5-2)-3□ 5-(2-3)
》(3)-3□5-(-1)
》0□6

●0 and 6 are not equal hence subtraction not holds over associativity.

multiplication holds over associative or not :
for e.g.:
》(2×3)×5 □ 2×(3×5)
》 6×5□2×15
》30=30

● HENCE multiplication holds over associativity.

division holds over associative or not
for e.g.:
》(8÷2)÷4□8÷(2÷4)

● which is not equal so that associative doesn't holds over division .


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