(-3i)(10i)

Jasonbradley

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Jun 16, 2024

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Multiplying Complex Numbers: (-3i)(10i)

This article will explain how to multiply the complex numbers (-3i) and (10i).

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1 (i² = -1).

Multiplication Process

To multiply complex numbers, we use the distributive property, similar to multiplying binomials.

1. Expand the expression: (-3i)(10i) = (-3 * 10) * (i * i)

2. Simplify: -30 * i²

3. Substitute i² with -1: -30 * (-1)

4. Calculate: 30

Final Answer

Therefore, the product of (-3i) and (10i) is 30. This result demonstrates that the product of two imaginary numbers can result in a real number.