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 8

Describe how to check if a decimal is a rational approximation of an irrational number.

Describe one method to improve the accuracy of a rational approximation for an irrational number.

Describe the process of finding a rational approximation for an irrational number using a calculator.

Explain how you would find a rational approximation for √7.

Explain why 22/7 is considered a rational approximation of π.

Explain why irrational numbers cannot be written exactly as fractions.

Explain why rational approximations are useful in real-life calculations.

Find a rational number between 1.41 and 1.42 that can be used to approximate √2.

If √11 ≈ 3.317, what is the rational approximation to the nearest hundredth?

If √8 ≈ 2.828, what is the rational approximation to the nearest tenth?

If you round √3 to two decimal places, what rational number do you get?

If π ≈ 3.1416, what is the difference between π and 22/7?

Is the decimal 1.7320508... a rational or irrational number?

Is the number 1.4142 a rational or irrational number?

Is the number 3.1415926535... rational or irrational?