Understanding Square Roots and Irrational Numbers
Learn about square roots, perfect square numbers, irrational numbers, and real numbers. Find examples and answer queries on number sets.
Understanding Square Roots and Irrational Numbers
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Presentation Transcript
Section 2-8 Definitions Square root: = 6. Radical sign: This is a radical sign. Perfect square: 4, 9, 16, 25, … are perfect square numbers. Because 2*2=4, 3*3=9, 4*4=16, 5*5=25, …
Section 2-8 definitions cont. • Irrational number: is a number that cannot be expressed in the form of which is a fraction. • Example: = 10.95445115…, since this is not a repeating or terminating decimal, this number is irrational. • Real numbers: are the set of rational and the set of irrational numbers together. See whiteboard Venn diagram
Section 2-8 examples • Find the following square roots: 1.) 2.) - 3.) Answers: 1.) 4 2.) -7 3.) 11 Name the set or sets of numbers which each number belongs to. Use N for natural numbers, W for whole numbers, Z for integers, Q for rational Numbers, and I for irrational numbers. 4.) - 5.) 0 6.) 8/4 Answers: 4.) Z, Q 5.) W, Z, Q 6.) N, W, Z, Q