Classifying Real Numbers in Algebra

What are natural numbers?

• Numbers including zero and negative values

• Numbers used for counting starting from one

• Only even numbers

• Numbers that include fractions

What number is added to the natural numbers to form whole numbers?

• Zero

• Negative one

• One

• Ten

Which set of numbers includes negative values?

• Natural numbers

• Whole numbers

• Integers

• Rational numbers

What is a characteristic of a rational number in decimal form?

• It never terminates or repeats

• It only includes whole numbers

• It either terminates or repeats

• It includes imaginary numbers

Which example is a rational number?

• Square root of 2

• Pi (π)

• Square root of 3

• 8 divided by 4

What defines an irrational number?

• Decimal representation terminates

• Always a natural number

• Decimal representation is non-repeating and non-terminating

• Can be expressed as a fraction

Which of the following is an example of an irrational number?

• Square root of 7

• 0.333...

• 2/3

• 1.25

What does the decimal representation of a rational number do?

• Stops or repeats

• Becomes zero after some digits

• Always increases

• Never stops or repeats

Which number is considered irrational due to its decimal form?

• Pi (π)

• 1.181818...

• 2

• 0.75

What is the approximate decimal value of two times the square root of five?

• 4.472

• 3.14159

• 1.73205

• 2.64575