Topic: Repeating Decimals (7.4 Extension)
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Essential Question:
Vocabulary Recap:
Terminating Decimal
Repeating Decimal
Bar Notation
STEPS to Write a repeating Decimal as a Fraction
STEP 1 – Re-write the fraction as an equation x=d, where d=fraction
*note it will be helpful to write the repeating portion of the fraction several times)
STEP 2 – Determine the number of repeating digits
STEP 3 – Multiply each side by the number of repeating digits
STEP 4 – Subtract original equation (STEP 1) from the new equation (STEP 3)
STEP 5 – Simplify and solve for x
Example 1:
Topic: Repeating Decimals (7.4 Extension) = page 2
Date:
Essential Question:
Example 2: Write
Example 3:
Example 4:
as a fraction in the simplest form.