Exploring Terminating and Repeating Decimals

This video tutorial introduces rational numbers, explaining how they can be expressed as fractions. It covers converting fractions to decimals, distinguishing between terminating and repeating decimals, and using bar notation for repeating decimals. The video includes practice problems to reinforce these concepts.

What is the main focus of this lesson?

• Studying prime numbers

• Understanding rational numbers

• Learning about irrational numbers

• Exploring complex numbers

Which of the following is a rational number?

• e

• 4/5

• π

• √2

How can the number 5 be expressed as a rational number?

• 1/5

• 5/1

• 0/5

• 5/0

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

• Add the numerator and the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

What is the decimal representation of 3/4?

• 0.75

• 0.33

• 0.25

• 0.5

Which of the following is a terminating decimal?

• 0.666...

• 0.123123...

• 0.333...

• 0.75

How is a repeating decimal represented using bar notation?

• By placing a bar over the repeating digits

• By placing a bar before the repeating digits

• By placing a bar over the entire number

• By placing a bar under the repeating digits

What is the bar notation for the repeating decimal 0.4444...?

• 0.44

• 0.4

• 0.44̅

• 0.4̅

Convert the fraction 1/25 to a decimal. Is it terminating or repeating?

• 0.04, repeating

• 0.04, terminating

• 0.25, repeating

• 0.25, terminating

Convert the fraction 3/11 to a decimal. Is it terminating or repeating?

• 0.27, terminating

• 0.27, repeating

• 0.3, terminating

• 0.3, repeating