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If a is a whole number such that a+a=a,...

If a is a whole number such that `a+a=a`, then `a=`?

A

1

B

0

C

3

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( a + a = a \), we will follow these steps: ### Step 1: Understand the equation The equation given is \( a + a = a \). This means that when we add \( a \) to itself, we should get \( a \) back. ### Step 2: Simplify the equation We can simplify the left side of the equation: \[ a + a = 2a \] So, we can rewrite the equation as: \[ 2a = a \] ### Step 3: Rearrange the equation Now, we can rearrange the equation to isolate \( a \): \[ 2a - a = 0 \] This simplifies to: \[ a = 0 \] ### Step 4: Verify the solution Now, we should verify if \( a = 0 \) satisfies the original equation: \[ 0 + 0 = 0 \] This is true, so our solution is valid. ### Conclusion Thus, the value of \( a \) is: \[ \boxed{0} \] ---
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