Converting Decimals to Fractions: Terminating and Repeating

Mr. Buffington's tutorial covers converting terminating and repeating decimals into fractions. It begins with an introduction to necessary prior knowledge, such as place values and simplifying fractions. The lesson then explains how to convert terminating decimals by understanding place values and reducing fractions to their lowest terms. It proceeds to demonstrate converting repeating decimals using algebraic methods, including setting equations and solving for variables. The tutorial concludes with a summary and references to educational standards.

What is the importance of knowing place values when converting decimals to fractions?

• It helps in identifying the correct fraction.

• It only helps in addition and subtraction.

• It is not necessary for conversion.

• It is used for multiplying fractions.

How do you write the decimal 0.4 as a fraction?

• 4/100

• 4/10

• 2/5

• 1/4

What is the reduced form of the fraction 47/100?

• 47/10

• 4/10

• 47/100

• 23/50

Which of the following is the correct fraction for the decimal 0.475?

• 95/200

• 47/100

• 19/40

• 475/1000

What is the first step in converting a repeating decimal to a fraction?

• Set the decimal equal to X

• Divide by the repeating number

• Multiply by 10

• Subtract X from both sides

How do you handle the repeating decimal 0.2 when converting it to a fraction?

• Set it equal to X and multiply by 10

• Subtract 0.2 from both sides

• Multiply by 100

• Divide by 2

What is the fraction form of the repeating decimal 0.23?

• 23/99

• 23/100

• 23/10

• 2/9

When converting 0.453 repeating to a fraction, what do you multiply by?

• 10

• 1000

• 100

• 10000

What is the simplified form of the fraction 453/999?

• 453/333

• 453/1000

• 151/333

• 151/999

Which standard is the lesson based on?

• None of the above

• Both Common Core and Pennsylvania assessment anchor

• Pennsylvania assessment anchor

• Common Core