Riya claims that for rational numbers, a - b is always equal to b - a. To test her, take a = 3/4 and b = 1/4. Compute a - b and b - a and decide whether Riya is correct.

Question

Accepted Answer

a - b = 1/2 and b - a = -1/2, so Riya is wrong. 3/4 - 1/4 = 2/4 = 1/2 and 1/4 - 3/4 = -2/4 = -1/2. Since 1/2 is not equal to -1/2, subtraction is not commutative, so Riya is wrong.

Riya claims that for rational numbers, $a - b$ is always equal to $b - a$ .
To test her, take $a = \frac{3}{4}$ and $b = \frac{1}{4}$ .
Compute $a - b$ and $b - a$ and decide whether Riya is correct.

Step-by-Step Solution

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More Class 8 Properties of Rational Numbers practice

Riya claims that for rational numbers, a−b is always equal to b−a.To test her, take a=43​ and b=41​.Compute a−b and b−a and decide whether Riya is correct.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Properties of Rational Numbers practice

Riya claims that for rational numbers, $a - b$ is always equal to $b - a$ .
To test her, take $a = \frac{3}{4}$ and $b = \frac{1}{4}$ .
Compute $a - b$ and $b - a$ and decide whether Riya is correct.