Understanding Rational Numbers and Fractions

This video tutorial covers the conversion of fractions to decimals and vice versa, graphing rational numbers on a number line, and applying these concepts to real-world scenarios. It begins with a review of converting fractions like one-half and four-fifths into decimals, followed by exercises on graphing these numbers and their opposites. The tutorial also includes practical applications of rational numbers, such as changes in water levels, to illustrate their use in everyday situations.

What is the decimal equivalent of one-half?

• 0.8

• 0.2

• 1.0

• 0.5

How can you express four-fifths as a decimal?

• 0.8

• 0.6

• 0.4

• 0.2

What is the fraction equivalent of 0.42?

• 21/100

• 42/100

• 21/50

• 42/50

How do you simplify 0.75 as a fraction?

• 3/4

• 1/2

• 5/8

• 7/10

Where is the unit fraction 1/4 located on a number line?

• Between -2 and -1

• Between 1 and 2

• Between -1 and 0

• Between 0 and 1

What is the opposite of the fraction 3/10 on a number line?

• 3/10

• -1/3

• -3/10

• 1/3

Between which two integers is -7/4 located?

• 0 and 1

• -1 and 0

• -2 and -1

• -3 and -2

What is the rational number representation of a lake's water level rising by 1.25 feet?

• 1 1/4

• 1 1/2

• 1 3/4

• 1 2/5

What is the opposite of 1 1/4 on a number line?

• 1 1/2

• -1 1/2

• 1 1/4

• -1 1/4

Which rational number is less than 1.25 and located between 0 and 1?

• 1/2

• 1/4

• 1

• 3/4