Rational Numbers and Their Properties

The video tutorial covers the concept of rational numbers, explaining their definition and how they differ from irrational numbers. It includes methods for converting fractions to decimals and vice versa, and demonstrates how to plot rational numbers on a number line. The lesson concludes with a real-world example to illustrate the practical application of these concepts.

What is a key characteristic of a rational number?

• It can be expressed as a fraction with a non-zero denominator.

• It can be written as a fraction with a zero denominator.

• It cannot be expressed as a fraction.

• It is always an integer.

Which of the following is a rational number?

• e (Euler's number)

• Pi

• Square root of 2

• 0.5

Why is Pi considered an irrational number?

• It has a repeating decimal pattern.

• It can be expressed as a fraction.

• It does not terminate or repeat.

• It is a whole number.

How can you convert a fraction to a decimal?

• Subtract the denominator from the numerator.

• Multiply the numerator by the denominator.

• Divide the numerator by the denominator.

• Add the numerator and the denominator.

What is the decimal equivalent of 1/2?

• 0.75

• 0.2

• 0.25

• 0.5

Which of the following fractions is equivalent to 0.75?

• 1/2

• 1/4

• 3/4

• 2/3

When plotting 3/10 on a number line, between which two whole numbers does it fall?

• 2 and 3

• 1 and 2

• 0 and 1

• 3 and 4

What unit should be used to divide the number line when plotting 3/10?

• 1/4

• 1/10

• 1/3

• 1/2

What is the opposite of 3/10 on a number line?

• -3/10

• 3/10

• -1/3

• 1/3

If a number line is divided into fourths, what fraction represents one whole?

• 3/4

• 1/4

• 4/4

• 2/4