1.

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

Answer»

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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