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is the additive identity and is the mul...

__________is the additive identity and __________ is the multiplicative identity respectively for whole numbers.

A

1,2

B

1,0

C

0,2

D

0,1

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to identify the additive and multiplicative identities for whole numbers. ### Step-by-Step Solution: 1. **Understanding Additive Identity**: - The additive identity is a number that, when added to any other number, does not change the value of that number. - For example, if we take any whole number \( A \) and add \( 0 \) to it, we get: \[ A + 0 = A \] - This shows that adding \( 0 \) to any number keeps the number the same. Thus, the additive identity is \( 0 \). 2. **Understanding Multiplicative Identity**: - The multiplicative identity is a number that, when multiplied by any other number, does not change the value of that number. - For example, if we take any whole number \( A \) and multiply it by \( 1 \), we get: \[ A \times 1 = A \] - This shows that multiplying any number by \( 1 \) keeps the number the same. Thus, the multiplicative identity is \( 1 \). 3. **Filling in the Blanks**: - Based on our findings, we can fill in the blanks in the question: - The additive identity is \( 0 \). - The multiplicative identity is \( 1 \). - Therefore, the complete answer is: \[ 0 \text{ is the additive identity and } 1 \text{ is the multiplicative identity respectively for whole numbers.} \] ### Final Answer: **0 is the additive identity and 1 is the multiplicative identity respectively for whole numbers.**
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