Which of the following are true-2 - 5 - 5 - 24 - 3 - 3 - 410 - 2 - 2 - 1010 - 5 - 5 - 10

The correct options are A 2 + 5 = 5 + 2 C 10 × 2 = 2 × 10Commutative property states that nbsp; if we change the order of the numbers , the result does not ch ...

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Standard VI

Mathematics

Commutativity of Whole Numbers

Which of the ...

Question

Which of the following are true?

2 + 5 = 5 + 2

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4 - 3 = 3 - 4

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\times

2 = 2

\times

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\div

5 = 5

\div

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Solution

The correct options are
A 2 + 5 = 5 + 2
C 10 $\times$ 2 = 2 $\times$ 10
Commutative property states that if we change the order of the numbers , the result does not change. It holds true of addition and multiplication. Hence addition and Multiplication are commutative .
Hence 2+5 = 5 + 2 and 10 x 2 = 2 x 10

But it does not hold true for subtraction and division.

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Similar questions

Q. Decide which of the following are quadratic equations.
(1) x² + 5x – 2 = 0
(2) y²= 5y – 10
(3)

y^{2} + \frac{1}{y} = 2

(4)

x + \frac{1}{x} = - 2

(5) (m + 2) (m – 5) = 0
(6) m³+ 3m² – 2 = 3m³

Question 6

Which of the following expressions show that rational numbers are associative under multiplication.
(a) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5}$
(b) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = \frac{2}{3} \times (\frac{3}{5} \times \frac{- 6}{7})$
(c) $\frac{2}{3} \times (\frac{- 6}{7} \times \frac{3}{5}) = (\frac{3}{5} \times \frac{2}{3}) \times \frac{- 6}{7}$
(d) $(\frac{2}{3} \times \frac{- 6}{7}) \times \frac{3}{5} = (\frac{- 6}{7} \times \frac{2}{3}) \times \frac{3}{5}$