Mathematics, 16.10.2020 07:01 rubencharomarti
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have?
Write your answer in the space below.
2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.
Write your answer in the space below.
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.
Write your answer in the space below.
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.
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5. Write n as a fraction in simplest form. Show your work.
Write your answer in the space below.
Answers: 3
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What is the fractional equivalent of the repeating decimal n = 0.1515... ?
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