Rules of Rational and Irrational Numbers

How can you determine if a number is rational or irrational?

• By flipping the number upside down

• By checking if the number is even or odd

• By determining if the number has a repeating decimal pattern

• By determining if the number can be expressed as a fraction of two integers.

Give an example of a rational number.

• 3.14

• 0.999...

• 1/2

• √2

What is the definition of an irrational number?

• A number that is a whole number

• A number that cannot be expressed as a fraction of two integers and has a non-repeating, non-terminating decimal expansion.

• A number that can be expressed as a fraction of two integers

• A number with a repeating decimal expansion

Give an example of an irrational number.

• √2

• 3.14

• 100

• 0.5

Is the number rational or irrational?

• Rational

  BECAUSE IT'S A PERFECT SQUARE

  WITH A WHOLE NUMBER ANSWER

• Irrational

  BECAUSE IT'S A NON-PERFECT SQUARE

  WITH A DECIMAL ANSWER

Answer explanation

Non perfect square root!!!

Is the number rational or irrational?

• Rational

• Irrational

Answer explanation

Non perfect square root!!!

What is the relationship between rational and irrational numbers?

• Rational numbers have a finite number of decimal places, while irrational numbers have an infinite number of decimal places.

• Rational numbers can only be whole numbers, while irrational numbers can be fractions.

• Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a fraction and have non-repeating, non-terminating decimal expansions.

• Rational numbers are always positive, while irrational numbers are always negative.

Explain the rules for multiplying rational numbers.

• Multiply the numerators and denominators together

• Subtract the numerators and denominators

• Add the numerators and denominators together

• Divide the numerators and denominators

Which is an example of an irrational number, or a number that does not make sense?

• non-perfect square

• fraction

• whole number

• perfect square

Which of the following numbers is irrational?

• √8

• ¾

• 2

• -1.325