Converting Repeating Decimals to Fractions with Algebra

What is a fraction?

• A number with a decimal point

• A whole number

• A number that cannot be divided

• A number in the form of A over B

What is a decimal?

• A number in the form of A over B

• A number that cannot be divided

• A fraction whose denominator is a power of 10

• A whole number

What is a repeating decimal?

• A whole number

• A decimal that ends after a few digits

• A fraction whose denominator is a power of 10

• A decimal in which a digit or sequence of digits repeats indefinitely

What symbol is used to denote a repeating decimal?

• A vertical line beside the digit

• A horizontal line over the digit

• A dot above the digit

• A circle around the digit

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

• Multiply by a power of 10

• Subtract the equations

• Set the decimal equal to X

• Simplify the fraction

In the example of converting 0.5 repeating, what is the equation after multiplying by 10?

• x = 5.5 repeating

• x = 0.5 repeating

• 10x = 5.5 repeating

• 10x = 0.5 repeating

What is the fraction form of 0.5 repeating?

• 5/10

• 1/9

• 1/2

• 5/9

In the example of converting 0.83 repeating, what power of 10 is used to eliminate the repeating decimal?

• 1

• 1000

• 100

• 10

What is the simplified fraction form of 0.83 repeating?

• 5/6

• 8/9

• 7/8

• 3/4

What is the final fraction form of 0.01 repeating?

• 1/100

• 1/10

• 1/900

• 1/1000