Understanding Rational Numbers and Decimals

The video tutorial covers the concept of rational numbers, explaining how fractions made of integers can be converted into decimals. It discusses the difference between terminating and repeating decimals, providing examples of various fractions and mixed numbers. The tutorial also addresses the rationality of fractions and the importance of identifying repeating patterns in decimals.

What is a rational number?

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

• A number that cannot be expressed as a fraction

• A number that is always negative

• A number that is always positive

How do you convert a fraction to a decimal?

• By multiplying the numerator and denominator

• By dividing the numerator by the denominator

• By adding the numerator and denominator

• By subtracting the denominator from the numerator

What type of decimal is 0.6 when derived from the fraction 3/5?

• Non-repeating

• Non-terminating

• Terminating

• Repeating

What is the decimal representation of 25/99?

• 0.75

• 0.5

• 0.2525...

• 0.25

Which of the following fractions converts to a repeating decimal?

• 1/4

• 1/3

• 1/2

• 1/5

How is the decimal 0.04 derived from the fraction 1/25?

• By subtracting 25 from 1

• By adding 1 and 25

• By dividing 1 by 25

• By multiplying 1 by 25

What is the decimal form of the mixed number 2 and 9/10?

• 2.91

• 2.09

• 2.19

• 2.9

What is the decimal representation of 3 and 2/3 pounds of apples?

• 3.33...

• 3.2

• 3.6

• 3.66...

What is the decimal equivalent of 7/8?

• 0.87

• 0.875

• 0.78

• 0.88

Why might a fraction like 3/47 be considered rational?

• Because it cannot be expressed as a fraction

• Because its decimal form is repeating

• Because its decimal form is non-repeating

• Because it can be expressed as a fraction