Question

Determine which expressions represent real numbers and which expressions represent complex numbers.

2 - 72
7 - 5i
26
--12
2 + i
0 + 91
a) Real Numbers: 1, 3, 6; Complex Numbers: 2, 4, 5
b) Real Numbers: 2, 3, 6; Complex Numbers: 1, 4, 5
c) Real Numbers: 1, 2, 3; Complex Numbers: 4, 5, 6
d) Real Numbers: 3, 4, 6; Complex Numbers: 1, 2, 5

Answer 1

To determine which expressions represent real numbers and which represent complex numbers, we need to understand the properties of real and complex numbers.

Step-by-step explanation:

To determine which expressions represent real numbers and which represent complex numbers, we need to understand the properties of real and complex numbers.

Real numbers are numbers that can be expressed on the number line, like whole numbers, fractions, and decimals. Complex numbers, on the other hand, are numbers that contain both real and imaginary parts, where the imaginary part is represented by i.

In the given expressions, the numbers 2, 26, and 0 represent real numbers because they can be located on the number line.

The expressions 7 - 5i and 2 + i represent complex numbers because they contain the imaginary unit i, which is the square root of -1.

The expression 2 - 72 does not fit into either category, as it is not a standard representation of a real or complex number.