Properties of Irrational Numbers

The video tutorial explains the existence of irrational numbers on the number line and how they can be added or subtracted. It highlights that operations involving irrational numbers result in non-terminating, non-recurring decimals. The tutorial provides examples to demonstrate that adding or subtracting a rational number with an irrational number results in an irrational number. It also discusses complex arithmetic expressions and how irrational numbers can cancel out to yield a rational result.

What happens when you move to the right on the number line from an irrational number?

• The value remains the same.

• The value decreases.

• The value increases.

• The value becomes rational.

What is the result of adding a whole number to an irrational number?

• A terminating decimal

• An irrational number

• A rational number

• A whole number

What is the result of adding a decimal number to an irrational number?

• An irrational number

• A rational number

• A whole number

• A terminating decimal

If you add two irrational numbers, what is the nature of the result?

• It is always a whole number.

• It is always irrational.

• It is always rational.

• It is always a terminating decimal.

What happens when you subtract a whole number from an irrational number?

• The result is an irrational number.

• The result is a whole number.

• The result is a rational number.

• The result is a terminating decimal.

What is the nature of the result when a rational number is added to an irrational number?

• Always a whole number

• Always a terminating decimal

• Always irrational

• Always rational

What is the result of adding √2 to √3?

• A terminating decimal

• A rational number

• An irrational number

• A whole number

What is the result of subtracting a decimal from an irrational number?

• A terminating decimal

• A rational number

• An irrational number

• A whole number

What is the result of adding Pi to √7?

• An irrational number

• A terminating decimal

• A rational number

• A whole number

What is the result of adding the square root of 3 to itself?

• A terminating decimal

• A rational number

• An irrational number

• A whole number