Rational Approximations of Irrational Numbers
Math ⇒ Number and Operations
Rational Approximations of Irrational Numbers starts at 8 and continues till grade 12.
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Describe how to use a calculator to find a rational approximation of an irrational number to two decimal places.
Describe the difference between a rational approximation and an exact value for an irrational number.
Describe the process of finding a rational approximation for an irrational number using continued fractions.
Explain how the error in a rational approximation of an irrational number can be reduced.
Explain why 22/7 is considered a rational approximation of \pi .
Explain why rational approximations are important in scientific calculations involving irrational numbers.
Given the irrational number \pi , provide a rational approximation with a denominator less than 100.
If a rational number r approximates an irrational number x such that |x - r| < 0.001 , what does this inequality represent?
