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This activity focuses on simplifying roots and understanding the classification of real numbers. Students will explore positive and negative square roots, as well as cubed roots, through examples and exercises. They will learn about the real number system, including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. The homework involves classifying various numbers and applying operations related to roots and fractions. This comprehensive lesson aims to reinforce mathematical concepts for further exploration in real numbers.
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Ex. 1 Simplify • (-3) 5 • -24 • ()2
Positive square root of 16 =4 4 4 = 42= 16 = –4 – (–4)(–4) = (–4)2= 16 Negative square root of 16 Square roots: Cubed roots:
Ex. 2 • Find each root: b. - c.
Real Number System(R)- Natural numbers(N): counting numbers: 1, 2, 3, … Whole numbers(W)the natural numbers and zero: 0, 1, 2, 3, … Integers( Z )the whole numbers and their opposites: –3, –2, –1, 0, 1, 2, 3, …
Rational numbers(Q): numbers that can be expressed as a fraction or decimal that terminate or repeat. ex: Irrational numbers (Icky Numbers): all numbers that are not rational. A decimal that neither terminates nor repeats. ex:
Write all classifications that apply to each real number. c. 7 a. –32 b. d.
