Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.
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Videos:
Practice Problems:
IXL Practice Problems (must practice at home):
Take a Quiz:
Practice Problems:
- Shmoop Problems: Comparing Rational and Irrational
- Xp Math: Square Root Cannon Game
- Khan Academy: Comparing irrational numbers with a calculator
IXL Practice Problems (must practice at home):
Take a Quiz:
- Quia: Estimating Square Roots (20 Questions)
- Glencoe: Square Roots and Real numbers quiz (5 questions)
- Glencoe: Compare and order Rational numbers quiz (5 questions)
- Learning Farm: Real Numbers Quiz