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Converting recurring decimals to fractions Name (NON CALCULATOR) Write the following as fractions in their simplest reconverting recurring decimals to fractions Name (NON CALCULATOR) Write the following
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How to fill out converting recurring decimals to
Point by point, here's how to fill out converting recurring decimals to:
01
Identify the recurring decimal pattern: Start by examining the decimal number and identify the repeating pattern. This is the set of digits that appears repeatedly after the decimal point.
02
Set up the equation: Write down the recurring decimal as a variable, such as "x," and subtract it from the original decimal number. For example, if the decimal is 0.333..., the equation would be x = 0.333... - 0.3.
03
Multiply by the appropriate power of 10: To eliminate the decimal places in the recurring decimal, multiply both sides of the equation by a power of 10. The power of 10 should be equal to the number of digits in the recurring pattern. For example, if the recurring pattern has three digits, multiply both sides of the equation by 1000.
04
Solve the equation: After multiplying by the power of 10, subtract the equation in step 2 from the equation in step 3. This will eliminate the recurring decimal and allow you to solve for the variable. In our example, the equation would be 1000x - x = 300 - 30.
05
Simplify and solve for x: Combine like terms on both sides of the equation and solve for x. In our example, simplifying the equation gives us 999x = 270, so x = 270/999.
Who needs converting recurring decimals to?
01
Students and academics studying mathematics: Converting recurring decimals to fractions or other forms is a common topic in mathematics. Students and academics in this field need to understand the process to solve problems and advance their understanding of numbers.
02
Individuals working in finance and accounting: Recurring decimals often appear in financial calculations and accounting reports. Being able to convert these decimals to fractions or other forms can help in financial analysis and decision-making.
03
Anyone dealing with measurements or ratios: In certain fields, such as engineering or science, measurements and ratios are often expressed as decimals. Sometimes these decimals can be recurring, and individuals working in these fields may need to convert them to other forms for accurate calculations or comparisons.
In summary, the process of converting recurring decimals to a different form involves identifying the recurring pattern, setting up an equation, multiplying by a power of 10, solving the equation, and simplifying the result. This skill is useful for students, academics, professionals in finance and accounting, and individuals dealing with measurements or ratios.
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What is converting recurring decimals to?
Converting recurring decimals to fractions.
Who is required to file converting recurring decimals to?
Individuals or businesses dealing with recurring decimals conversions.
How to fill out converting recurring decimals to?
By following the steps outlined in the conversion process and using mathematical formulas.
What is the purpose of converting recurring decimals to?
To represent repeating decimal numbers as fractions for easier calculation and comparison.
What information must be reported on converting recurring decimals to?
The decimal number being converted, the repetition pattern, and the resulting fraction.
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