Understanding Fractions and Decimals

This video tutorial covers writing rational numbers as decimals using long division. It explains the concept of rational numbers, demonstrates how to convert fractions to decimals, and discusses terminating and repeating decimals. The tutorial also covers converting mixed numbers to improper fractions and decimals, finding decimal equivalents of negative rational numbers, and understanding equivalent fractions and decimals.

What is a rational number?

• A number that is always positive

• A number that cannot be expressed as a fraction

• A number that is always negative

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

Which of the following is a rational number?

• π

• e

• √2

• 1/2

How do you convert a fraction to a decimal using long division?

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Add the numerator and the denominator

• Subtract the denominator from the numerator

What is a terminating decimal?

• A decimal that has no repeating pattern

• A decimal that ends after a finite number of digits

• A decimal that is irrational

• A decimal that repeats infinitely

What is a repeating decimal?

• A decimal that has no pattern

• A decimal that repeats a sequence of digits infinitely

• A decimal that ends after a finite number of digits

• A decimal that is irrational

How can you convert 3/4 to a decimal using multiplication?

• Multiply 3 by 4

• Multiply 3 by 0.5

• Multiply 4 by 0.75

• Multiply 3 by 0.25

How do you convert a mixed number to an improper fraction?

• Divide the whole number by the fraction

• Subtract the numerator from the whole number

• Multiply the whole number by the denominator and add the numerator

• Add the whole number to the fraction

What happens when digits in a decimal start repeating?

• The decimal becomes irrational

• The decimal is considered terminating

• A bar is placed over the repeating digits

• The decimal cannot be expressed as a fraction

How can you show two fractions are equivalent using decimals?

• By multiplying them

• By converting both to decimals and comparing

• By subtracting them

• By adding them

What is the decimal equivalent of a negative fraction?

• Always positive

• Always negative

• Cannot be determined

• Depends on the fraction