What happens when one of the numbers in a product \(23 \times 30\) is increased by \(1\) and the other is decreased by \(1\)? Will there be any change in the product?
Answer:
Case (i): If \(a = 23\) is increased by \(1\) and \(b = 30\) is decreased by \(1\).
The change in product is given by .
In this case, the new product by .
Case (ii): If \(a = 23\) is decreased by \(1\) and \(b = 30\) is increased by \(1\).
The change in product is given by .
In this case, the new product by .