Understanding Different Types of Numbers

The video tutorial explains the different types of numbers, focusing on rational and irrational numbers. It covers integers, fractions, and decimals, both terminating and recurring, as examples of rational numbers. The video also discusses irrational numbers, such as square roots of non-square numbers and pi, which have non-repeating, infinite decimal expansions. The tutorial provides examples and explanations to help viewers understand these concepts.

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

• Square root of 2

• Pi

• 0.5

• e (Euler's number)

What is the term for a whole number that can be positive, negative, or zero?

• Surd

• Decimal

• Integer

• Fraction

In a fraction, what is the name of the top number?

• Denominator

• Numerator

• Dividend

• Quotient

Which of the following is a terminating decimal?

• 0.666...

• 0.123123...

• 0.625

• 0.333...

How can you represent a recurring decimal like 0.666...?

• 0.6

• 0.6 with a dot above 6

• 0.66

• 0.666

What is the fraction equivalent of the recurring decimal 0.123123...?

• 123/999

• 12/99

• 123/1000

• 1/3

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

• 1/2

• 3.14

• Square root of 2

• 0.75

What is a surd?

• A fraction

• A whole number

• A square root of a non-square number

• A terminating decimal

Which number is known to start with 3.14159 and continues indefinitely without repeating?

• Square root of 3

• Pi

• Euler's number

• Golden ratio

What is the main difference between rational and irrational numbers?

• Rational numbers can be written as fractions, irrational numbers cannot

• Rational numbers are always whole numbers

• Irrational numbers are always negative

• Rational numbers have infinite decimal places