Practice Real Numbers in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The complete set of all rational and irrational numbers, filling every point on the continuous number line.
Any number you can point to on an infinitely precise number line.
Example 1
easyClassify each number as rational or irrational, and state whether it is a real number: -7, \sqrt{9}, \sqrt{7}, \pi.
Example 2
mediumShow that between any two distinct real numbers a and b (with a < b), there exists another real number.
Example 3
easyWhich of the following are NOT real numbers? \sqrt{-4}, -\sqrt{4}, \sqrt[3]{-8}, \frac{1}{0}.
Example 4
mediumGive one example of a real number between \sqrt{2} and \sqrt{3}.