Understanding Decimals and Fractions

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 complex fractions, mixed numbers, and improper fractions to decimals, including negative rational numbers. It concludes with a discussion on equivalent fractions and their decimal forms.

What is a rational number?

• A number with a repeating decimal

• A number that cannot be expressed as a fraction

• A number that is always positive

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

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

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

What is a terminating decimal?

• A decimal that is greater than one

• A decimal that is always less than one

• A decimal that ends after a finite number of digits

• A decimal that repeats indefinitely

What does it mean when a decimal has a bar over a digit?

• The digit is the largest in the sequence

• The digit is incorrect

• The digit repeats indefinitely

• The digit is the smallest in the sequence

How can you convert a mixed number to a decimal?

• Multiply the whole number by the fraction

• Subtract the fraction from the whole number

• Convert the whole number and fraction separately, then add

• Divide the whole number by the fraction

How can multiplication help in converting fractions to decimals?

• By multiplying the fraction by zero

• By multiplying the fraction by one

• By using known decimal equivalents and multiplying

• By dividing the fraction by a whole number

What is an improper fraction?

• A fraction where the numerator is larger than the denominator

• A fraction where the numerator is smaller than the denominator

• A fraction that cannot be converted to a decimal

• A fraction that is always negative

How do you find the decimal equivalent of a negative fraction?

• Divide the fraction by a negative number

• Convert the fraction and then add a negative sign

• Ignore the negative sign and convert as usual

• Multiply the fraction by a negative number

What is the decimal equivalent of negative one-fifth?

• -0.5

• -0.2

• -0.75

• -0.25

Do fractions need to be in simplest form to convert to decimals?

• Only if the fraction is improper

• Yes, always

• No, they can be converted in any form

• Only if the fraction is negative