Exploring the Classification of Numbers

What is the main focus of the taxonomy of numbers?

• To classify numbers based on their size

• To classify numbers based on their properties

• To classify numbers based on their color

• To classify numbers based on their shape

What is the fundamental imaginary number?

• i

• l

• j

• k

Which of the following is a characteristic of rational numbers?

• They are always positive

• They cannot be expressed as fractions

• They have non-repeating, nonterminating decimals

• They can be expressed as the ratio of two integers

What is an example of an irrational number?

• 3.14

• 1/2

• 0.333...

• Square root of 2

Why is the square root of 2 considered a real number?

• Because it has a repeating decimal

• Because it exists in nature, like in a right triangle

• Because it is a whole number

• Because it can be expressed as a fraction

What is the ratio of the circumference of a circle to its diameter known as?

• Euler's number

• Golden ratio

• Pi

• Square root of 2

Which of the following is a rational number with a nonterminating decimal?

• Square root of 2

• Pi

• e

• 1/3

What does the repeating bar over a decimal indicate?

• The number is undefined

• The number is rational and the digits under the bar repeat forever

• The number is imaginary

• The number is irrational

What is the decimal representation of 1/9?

• 0.1

• 0.1 repeating

• 0.11

• 0.111

What is the equivalent of 0.9 repeating?

• 1

• 0.99

• 0.999

• 0.9