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