Question

1. communicate and justify tell why you cannot multiply or divide by 0 to find equivalent ratios.

Explanation:

1. Multiplication by 0: When you multiply both terms of a ratio $\frac{a}{b}$ by 0, you get $\frac{0}{0}$, which is an undefined, indeterminate value that does not represent a valid ratio equivalent to the original. Additionally, it collapses all ratios to the same meaningless form, destroying the proportional relationship the ratio represents.
2. Division by 0: Division by 0 is mathematically undefined for any number, as there is no real number that can be multiplied by 0 to yield a non-zero dividend. Applying this to a ratio would result in an invalid, undefined expression, not an equivalent ratio.

Answer:

You cannot multiply or divide a ratio by 0 to find an equivalent ratio because:

• Multiplying both terms of a ratio by 0 results in $\frac{0}{0}$, an indeterminate, undefined value that loses the original ratio's proportional meaning.
• Division by 0 is mathematically undefined for all non-zero numbers, so dividing ratio terms by 0 creates an invalid, non-existent expression rather than a valid equivalent ratio.