Exploring Rational and Irrational Concepts

Which of the following is a characteristic of a rational number?

• It cannot be written as a fraction.

• It includes non-terminating, non-repeating decimals.

• It includes whole numbers and perfect squares.

• It has a random sequence of digits.

What type of decimal is 0.333...?

• Non-terminating and non-repeating

• Repeating

• Whole number

• Terminating

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

• 1/2

• Square root of 37

• 0.75

• Square root of 16

Why is the number pi considered irrational?

• It can be written as a fraction.

• It is a terminating decimal.

• It is non-terminating and non-repeating.

• It is a whole number.

If a number can be written as a fraction, it is:

• None of the above

• Always rational

• Always irrational

• Sometimes irrational

What is the result of the square root of 100 plus 1?

• 12

• 11

• 10

• 13

If a number is written as 2/7, what type of number is it?

• Whole number

• Non-terminating

• Irrational

• Rational

What happens when you multiply pi by 3?

• It becomes a rational number.

• It becomes a whole number.

• It becomes a terminating decimal.

• It remains an irrational number.

Which of the following is a terminating decimal?

• Pi

• 0.333...

• Square root of 20

• 0.75

What is the side length of a square with an area of 50 square feet?

• A repeating decimal

• An irrational number

• A rational number

• A whole number