Verify the property a x ( b x c ) = (a x b) x c by taking a = 1, b = (-13/5), c = (3/5)
Answers
Answer:
a x ( b x c ) = (a x b) x c
1×(-13/5×3/5=(1×-13/5)×3/5
-39/25=-39/25
hence proved
LHS=RHS
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➡ Property to be verified:
a x (b x c) = (a x b) x c
➡ Values of the variables:
✳ a = 1
✳ b = -13/5
✳ c = 3/5
➡ Proving:
LHS:
The LHS is -39/25.
RHS:
LHS = RHS
Hence proved!
Properties for multiplication:
➡ Closure property:
When any two whole numbers/real numbers/rational numbers are multiplied, their result will always be a whole number/real number/rational number respectively.
➡ Commutative property:
The product of two numbers will always be the same even if the positions of the multiplicands are interchanged.
➡ Associative property:
The product of three numbers will always be the same even if the procedure of multiplying is changed.
➡ Multiplicative identity:
The multiplicative identity of all numbers is 1. That is, any number multiplied to 1 gives the number itself.