Exploring Rational Numbers: Conversion and Comparison

The video tutorial introduces rational numbers, focusing on comparing fractions and decimals. It explains how to convert fractions to decimals and vice versa, emphasizing the importance of understanding rational numbers as ratios of integers. The tutorial provides examples of rational numbers and highlights the difference between terminating and repeating decimals. It concludes with practice exercises to reinforce the concepts learned.

Which decimal value represents the largest portion of a cookie?

• 0.75

• 0.666...

• 0.725

• 0.7

Which fraction is equivalent to 0.75?

• 7/10

• 3/4

• 2/3

• 5/8

What is a rational number?

• A number that repeats indefinitely

• A number that only includes whole numbers

• A number that can be expressed as a ratio of two integers

• A number that cannot be expressed as a fraction

What does the term 'rational' in rational numbers imply?

• The numbers are irrational

• The numbers are always positive

• The numbers are based on ratios

• The numbers are reasonable

Which of the following is NOT a rational number?

• -3/4

• Pi

• 0.25

• 2/3

What type of decimal does 5/11 convert to?

• Non-decimal

• Terminating decimal

• Non-repeating decimal

• Repeating decimal

Which example shows a terminating decimal?

• 1/7

• 1/9

• 1/3

• 1/4

What is the decimal representation of 1/4?

• 0.15

• 0.35

• 0.25

• 0.45

How can you express 0.26 as a fraction in simplest form?

• 13/100

• 26/50

• 13/50

• 26/100

How is 0.45 written as a fraction?

• 4/9

• 45/10

• 45/100

• 9/20