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Distributive Property of Rational Numbers

a × b × c=c ×...

Question

(a × b) × c = (c × b) × a
represents which of the following?

A

Associative property under addition

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B

Distributive property

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C

Associative property under multiplication

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D

None of the above

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Solution

The correct option is D None of the above
(a + b) + c = a + (b + c)
represents associative property under addition.

(a × b) × c = a × (b × c)
represents associative property under multiplication.

a × (b + c) = (a ×b) + (a × c)
represents distributive property.

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(a × b) × c = (c × b) × a
represents which of the following?

△ = ∣ ∣ ∣ ∣ \begin{matrix} a - b & b - c & c - a b - c & c - a & a - b c - a & a - b & b - c \end{matrix} ∣ ∣ ∣ ∣,

then which of the following is correct?

Q. Which of the following is an identity relation on the set

A = {a, b, c}

\frac{b + c - a}{a}, \frac{c + a - b}{b}, \frac{a + b - c}{c}

A . P .,

then which of the following is in

A . P . ?

\frac{b + c - a}{a}

\frac{c + a - b}{b}

\frac{a + b - c}{c}

are in AP, then which of the following is in AP?

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