Which identity is known to result in the same number when multiplied by any other number?

Which identity is known to result in the same number when multiplied by any other number?

• A. Additive identity
• B. Multiplicative identity
• C. Absolute identity
• D. Neutral identity

Answer: (B)

The identity that results in the same number when multiplied by any other number is known as the multiplicative identity. This identity is represented by the number 1. According to the properties of multiplication, multiplying any number by 1 will yield the original number unchanged. For instance, if you take the number 7 and multiply it by 1, the result is still 7 (7 × 1 = 7). This property holds true for all real numbers, making the multiplicative identity a fundamental concept in arithmetic and algebra. The other identities mentioned do not fit this definition. The additive identity, for example, is 0, which means adding zero to any number leaves that number unchanged, but it pertains to addition, not multiplication. The terms absolute identity and neutral identity aren't standard terms used in arithmetic identity discussions, which is why they don’t apply in this context. Therefore, the multiplicative identity is the correct choice as it directly addresses the requirement of the question regarding multiplication.

The identity that results in the same number when multiplied by any other number is known as the multiplicative identity. This identity is represented by the number 1. According to the properties of multiplication, multiplying any number by 1 will yield the original number unchanged. For instance, if you take the number 7 and multiply it by 1, the result is still 7 (7 × 1 = 7). This property holds true for all real numbers, making the multiplicative identity a fundamental concept in arithmetic and algebra.

The other identities mentioned do not fit this definition. The additive identity, for example, is 0, which means adding zero to any number leaves that number unchanged, but it pertains to addition, not multiplication. The terms absolute identity and neutral identity aren't standard terms used in arithmetic identity discussions, which is why they don’t apply in this context. Therefore, the multiplicative identity is the correct choice as it directly addresses the requirement of the question regarding multiplication.