Question

what type of number is -44.1? choose all answers that apply: a real b imaginary c complex

Explanation:

• A real number is any number that can be represented on the number line, including rational and irrational numbers, positive and negative, integers and decimals. \(-44.1\) is a decimal number, so it is a real number.
• An imaginary number is of the form \(bi\) where \(b\) is a real number and \(i=\sqrt{- 1}\). Since \(-44.1\) does not have an imaginary unit \(i\), it is not an imaginary number.
• A complex number is of the form \(a + bi\), where \(a\) and \(b\) are real numbers. When \(b = 0\), the complex number \(a+bi=a\) (a real number) is a special case of a complex number. So \(-44.1=-44.1 + 0i\), which is a complex number.

Answer:

A. Real, C. Complex