True or False All real numbers are complex numbers.

Miracle Graves

Miracle Graves

Answered question

2022-02-04

True or False All real numbers are complex numbers.

Answer & Explanation

patriette65s

patriette65s

Beginner2022-02-05Added 15 answers

Given statement is :
All real numbers are complex numbers.
A complex number has real part and imaginary part and it is represented as
z = a + bi
where,
a is a real part and
b is an imaginary part
a and b are real numbers and either part can be 0.
When a = 0, z = bi and the complex number is said to be purely imaginary.
When b = 0, z = a and the complex number is said to be purely real.
Hence, all real numbers are complex numbers having imaginary part equal to 0.
Hence, given statement is true.

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