Question

simplify.
10i·10
write your answer in the form a + bi.

Explanation:

Step1: Multiply the real numbers

When multiplying \(10i\) and \(10\), we multiply the coefficients (the real parts) together. The coefficient of \(i\) in \(10i\) is \(10\), and the other number is \(10\). So, \(10\times10 = 100\).

Step2: Combine with the imaginary unit

Since we have \(10i\times10\), after multiplying the real coefficients, we keep the imaginary unit \(i\). So the result is \(100i\). In the form \(a + bi\), \(a = 0\) (because there is no real part without the imaginary unit) and \(b = 100\). So we can write it as \(0 + 100i\).

Answer:

\(0 + 100i\)