Math, asked by rajeshjaiswal123488, 1 month ago

Verify the property a x ( b x c ) = (a x b) x c by taking a = 1, b = (-13/5), c = (3/5)​

Answers

Answered by arpanaial06
1

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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Answered by BrainlyPhantom
2

➡ 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:

\sf{\longrightarrow\:1\times\left(\dfrac{-13}{5}\times\dfrac{3}{5}\right)

\sf{\longrightarrow\:1\times\dfrac{-39}{25}}

\sf{\longrightarrow\:\dfrac{-39}{25}}

The LHS is -39/25.

RHS:

\sf{\longrightarrow\:\left(1\times\dfrac{-13}{5}\right)\times\dfrac{3}{5}}

\sf{\longrightarrow\:\dfrac{-13}{5}\times\dfrac{3}{5}}

\sf{\longrightarrow\:\dfrac{-39}{25}}

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.

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