Rational and Irrational Numbers

This video tutorial explains how to convert rational numbers, specifically fractions, into decimals. It covers the difference between terminating and repeating decimals, and introduces irrational numbers, which are non-repeating and non-terminating. The tutorial includes example problems, such as subtracting decimals and converting fractions to decimals using long division.

What is the first step in converting a rational number from a fraction to a decimal?

• Multiply the numerator and denominator by 10.

• Divide the numerator by the denominator.

• Subtract the denominator from the numerator.

• Add the numerator and denominator.

Which of the following best describes a rational number?

• A number that cannot be expressed as a fraction.

• A number that is always less than zero.

• A number that is always greater than zero.

• A number that can be written as a fraction with an integer numerator and a non-zero integer denominator.

What is a terminating decimal?

• A decimal that goes on forever without repeating.

• A decimal with a fixed number of digits.

• A decimal that cannot be expressed as a fraction.

• A decimal that repeats a sequence of digits.

How can you identify a repeating decimal?

• It cannot be expressed as a fraction.

• It has a sequence of digits that repeats indefinitely.

• It is always greater than one.

• It has a fixed number of digits.

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

• 5.316789142...

• 0.333...

• 1.5

• 2.8

What is the result of subtracting 0.5 from 4/3?

• 0.8333...

• 1.333...

• 1.5

• 0.5

What is the decimal representation of 14/5?

• 2.5

• 2.8

• 3.0

• 2.6