Understanding Rational Numbers

The video tutorial introduces rational numbers, explaining their definition, properties, and types. It covers the characteristics of rational numbers, such as closure, commutative, associative, and distributive properties, as well as identity and inverse elements. The tutorial also distinguishes between pure, mixed, and improper fractions, providing examples for each. The video concludes with a summary and encourages viewers to engage with the content.

What is a characteristic of a rational number when expressed as a decimal?

• It always terminates.

• It never repeats.

• It is always irrational.

• It either terminates or repeats.

Which of the following is an example of a rational number?

• 3/4

• e

• π

• √2

What does the closure property of rational numbers state?

• The sum or product of two rational numbers is always rational.

• Rational numbers cannot be closed under addition.

• The sum of two rational numbers is always irrational.

• The product of two rational numbers is always irrational.

Which property is demonstrated by the equation A/B + C/D = C/D + A/B?

• Commutative Property

• Distributive Property

• Closure Property

• Associative Property

What is the identity element for addition in rational numbers?

• Any rational number

• 1

• 0

• -1

What is the inverse of a rational number A/B in terms of multiplication?

• 1

• -A/B

• B/A

• 0

What is the result of multiplying any rational number by zero?

• One

• The rational number itself

• Zero

• An undefined value

Which type of rational number is represented by 3 2/7?

• Decimal

• Mixed Fraction

• Improper Fraction

• Pure Fraction

What is a characteristic of an improper fraction?

• The numerator is less than the denominator.

• It cannot be expressed as a decimal.

• The numerator is equal to the denominator.

• The numerator is greater than the denominator.

Which of the following is an example of a pure fraction?

• 7

• 5/3

• 3/7

• 2 1/4