Answer:
The equation a÷b = b÷a is not always true. Division is not commutative, meaning that switching the order of the numbers being divided does not always give the same result. So, in general, a÷b does not equal b÷a.
Answer:
The equation \( \frac{a}{b} = \frac{b}{a} \) holds true when \( a \) and \( b \) are reciprocals of each other, i.e., when \( a \) is the multiplicative inverse of \( b \) and vice versa. This condition is satisfied when both \( a \) and \( b \) are non-zero and not equal to each other.
To understand this, let's take \( a = \frac{1}{b} \). Then \( \frac{a}{b} = \frac{\frac{1}{b}}{b} = \frac{1}{b^2} \).
Similarly, if we take \( b = \frac{1}{a} \), then \( \frac{b}{a} = \frac{\frac{1}{a}}{a} = \frac{1}{a^2} \).
Now, \( \frac{1}{b^2} = \frac{1}{a^2} \) implies \( a^2 = b^2 \).
Taking the square root of both sides, we get \( a = b \) or \( a = -b \).
So, the equation \( \frac{a}{b} = \frac{b}{a} \) holds true when \( a = b \) or \( a = -b \), as long as \( a \) and \( b \) are non-zero and not equal to each other.
please mark me brainliest
