Exploring the World of Imaginary Numbers

What was the primary purpose of creating natural numbers?

• To solve algebraic equations

• To perform complex calculations

• To measure distances

• To count and convey quantities

What innovation in mathematics was introduced to describe 'nothingness'?

• Imaginary numbers

• Zero

• Rational numbers

• Negative numbers

What set of numbers includes both whole numbers and negative numbers?

• Real numbers

• Integers

• Complex numbers

• Rational numbers

What is the classical number line composed of?

• Only rational numbers

• Both positive and negative numbers with zero in the middle

• Only negative numbers

• Only positive numbers

Which type of numbers can be expressed as a fraction or a finite integer divided by another finite integer?

• Complex numbers

• Imaginary numbers

• Rational numbers

• Irrational numbers

What is an example of an irrational number?

• Square root of 2

• 5

• 2

• 1/3

What is the square root of negative 1 defined as?

• Negative one

• I

• Zero

• One

What is a complex number composed of?

• Only real numbers

• Only rational numbers

• Only imaginary numbers

• Both real and imaginary numbers

What happens when you multiply a complex number by 'i'?

• It becomes zero

• It rotates 90 degrees counterclockwise

• It rotates 180 degrees

• It becomes a real number

What is the absolute value of a complex number?

• Its distance from the real axis

• Its distance from one

• Its distance from the imaginary axis

• Its distance from zero