Question

what property could be used to justify the statement ( r = 1 \times r )?

• multiplicative identity
• distributive property
• multiplicative inverse
• associative property of multiplication

Explanation:

The multiplicative identity property states that any number multiplied by 1 remains unchanged. In the statement \( R = 1\times R \), multiplying \( R \) by 1 (the multiplicative identity element for real numbers) gives back \( R \), which matches the multiplicative identity property. The distributive property involves distributing a factor over a sum/difference, the multiplicative inverse is about a number and its reciprocal multiplying to 1, and the associative property of multiplication is about the grouping of factors in a product, none of which apply here.

Answer:

A. Multiplicative identity