Converting 1-digit repeating decimals to fractions | |
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Description | |
Exercise Name: | Converting 1-digit repeating decimals to fractions |
Math Missions: | 8th grade (U.S.) Math Mission, Algebra I Math Mission |
Types of Problems: | 1 |
The Converting 1-digit repeating decimals to fractions exercise appears under the 8th grade (U.S.) Math Mission and Algebra I Math Mission. This exercise practices converting between repeating decimals and their corresponding fraction form.
Types of Problems
There is one type of problem in this exercise:
- Change into a fraction: This problem provides a repeating decimal. The student is asked to take the repeating decimal and change it into a fraction.
Strategies
Knowing how to convert quickly from fractions into decimal can provide insight here for how to work backwards.
- A decimal that repeats over one spot will be an "over nine" answer. For example, is .
- The fraction answers need to be simplified, so is correct but is not.
Real-life Applications
- Connections between fractions and decimals help in many scientific approximation applications.
- Decimals appear in every-day media to display information to consumers.
- Decimals are very common in shopping. Price tags, food labels, and receipts all contain decimals.
- At gas pumps, decimals are used to show how much gas is pumped and much it costs per gallon.