Rational Approximations of Irrational Numbers

Math ⇒ Number and Operations

Rational Approximations of Irrational Numbers starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Rational Approximations of Irrational Numbers. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Calculate the value of 22/7 to two decimal places.

Calculate the value of 355/113 to three decimal places.

Calculate the value of 7/5 to two decimal places.

Calculate the value of 99/70 to three decimal places.

Explain how continued fractions can be used to find rational approximations of irrational numbers.

Explain the difference between a rational number and a rational approximation of an irrational number.

Explain why every rational approximation of an irrational number is only an estimate.

Explain why rational approximations are useful when working with irrational numbers.

Explain why the decimal expansion of a rational approximation of an irrational number must eventually terminate or repeat, while the decimal expansion of the irrational number itself does not.