Rational and Irrational Numbers

The video tutorial explains the difference between rational and irrational numbers. Rational numbers can be expressed as ratios or fractions, such as 3/2 or 1.33 (which is 4/3). In contrast, irrational numbers cannot be expressed as ratios. Examples include the square root of 3, which cannot be simplified into a fraction, unlike the square root of 4, which is 2. The video also provides examples of irrational numbers like the square roots of 5, 7, and 6, which cannot be expressed as perfect ratios.

What is a key characteristic of rational numbers?

• They can be expressed as a ratio of two integers.

• They cannot be expressed as a fraction.

• They are always whole numbers.

• They are always positive.

Which of the following is a rational number?

• 1.33

• Square root of 2

• Square root of 3

• Pi

Why is the number 17 considered rational?

• It is a perfect square.

• It can be expressed as 17/1.

• It is an even number.

• It is a prime number.

What defines an irrational number?

• It cannot be expressed as a simple fraction.

• It is always a whole number.

• It is always negative.

• It can be expressed as a ratio of two integers.

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

• Square root of 4

• Square root of 16

• Square root of 9

• Square root of 3

Why is the square root of 3 considered irrational?

• It can be expressed as a fraction.

• It is a perfect square.

• It cannot be simplified into a ratio.

• It is a whole number.

Which of the following numbers is not irrational?

• Square root of 5

• Square root of 7

• Square root of 6

• Square root of 9