Bell Work Write each of the following as a decimal or a fraction…. Remember to look at the # of digits in the repeater.
Roots Lesson #8 Pg. 231
Warm Up Simplify each expression. 1) 6² 36 121 2) 112 25 36 3) (–9)(–9) 81 4) Write each fraction as a decimal. 2 5 5 9 5) 0.4 6) 0.5 –1 5 6 7) –1.83
Vocabulary Objectives Square Root/Cube Root Rational Numbers Perfect Square /Perfect Cube Irrational Numbers Natural Numbers Real Numbers Whole Numbers Repeating Decimal (Rational Number) Integers Terminating Decimal (Rational Number) ** Natural, Whole, Integers and any number that can be put into a ratio (fraction) * Repeating or Terminating decimals Index of 2 Index of 3 2 equal factors multiplied together 3 equal factors multiplied together ** Non – Repeating, Non – Terminating decimals ** Counting Numbers ** 1, 2, 3, 4, …∞ ** Any number (value) on the number-line ** Counting Numbers plus zero ** 0, 1, 2, 3, 4, …∞ ** Natural, and Whole plus Negatives ** - ∞… - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, …∞ Objectives Evaluate expressions containing square and cube roots. Classify numbers within the real number system.
The Real Number System Rational #s Irrational #s Every point (value) on the number line Rational #s Irrational #s Can be written as a ratio Decimal that repeats or ends Decimals that do not repeat or end Can not be written as a ratio Integers Tic marks on number line …-2, -1, 0, 1, 2… Whole #s 0, 1, 2, 3… Natural #s 1, 2, 3 …
What You’ll Learn in Lesson #8 Finding the square roots of perfect squares Finding the cube roots of perfect cubes Solving equations involving squares and cubes
Vocabulary Square Root Perfect Square Radical Sign Cube Root Perfect Cube
Square Root A square root of a number is one of its two equal factors
Cube Root A Cube root of a number is one of its three equal factors
List the Perfect Squares from 1 thru 20 Homework All Groups List the Perfect Squares from 1 thru 20 Pg. 235-236, 1 – 12, 15 – 21