Questions: Evaluate (4-i)(0) and express as a simplified complex number.

Evaluate (4-i)(0) and express as a simplified complex number.
Transcript text: Evaluate $(4-i)(0)$ and express as a simplified complex number. $\square$
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Solution

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Solution Steps

To evaluate the expression \((4-i)(0)\), we need to multiply the complex number \(4-i\) by 0. Any number, real or complex, multiplied by 0 is 0. Therefore, the result is simply 0.

Step 1: Identify the Expression

The expression given is \((4-i)(0)\).

Step 2: Apply the Multiplication Property

According to the multiplication property, any number multiplied by 0 is 0. Therefore, we have: \[ (4-i) \times 0 = 0 \]

Final Answer

The simplified complex number is \(\boxed{0}\).

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