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Properties of Addition and Subtraction of Integers

State the pro...

Question

State the property in p + (q + r) = (p + q) + r of addition.

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Solution

Since, p + (q + r) = (p + q) + r, it is associative property of addition.

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Similar questions

Q. The property

p \land (q \lor r) ≅ (p \land q) \lor (p \land q)

is called_________________.

On a number line, co-ordinates of P, Q, R are 3,

-

5 and 6 respectively. State with reason whether the following statements are true or false.

(i) d(P,Q) + d(Q,R) = d(P,R)
(ii) d(P,R) + d(R,Q) = d(P,Q)

(iii) d(R,P) + d(P,Q) = d(R,Q)

-

d(P,R) = d(Q,R)

Q. In ΔPQR, if

∠ R > ∠ Q

, then

(a) QR > PR

(b) PQ > PR

(c) PQ < PR

(d) QR < PR

Q. The property

p \land (q \lor r) \equiv (p \land q) \lor (p \land r)

Q. State True or False.

(p - q)^{3} + (q - r)^{3} + (r - p)^{3} = 3 (p - q) (q - r) (r - p)

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Properties of Addition and Subtraction of Integers

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