Exponent & Square Root – Basic College Mathematics for Teachers

Reference: K. Elayn Martin-Gay – Page 1 Definition: Exp & SqRt

Exponents A special & repeated multiplication of Base Number dictated from Exponent. 4^0 = 1 4^1 = 4 4^2 = 16 4^3 = 64 4^2 = 4 x 4 = 16 7^2 = 7 x 7 = 49 Base ^Exponent = Number	Square Roots A special & duplicate division ( √ means Square Root ) √1 √4 √9 √16 √25 √36 √49 √64 √81 √100 √16 = 4 since 4 x 4 = 16 √49 = 7 since 7 x 7 = 49
Interpolation of Exponents 4^1 = 4 4^X = 8 4^2 = 16 Since the number 8 is between 4 & 16, logically assume X is between 1 & 2. Therefore: 4 8 16 Between 4&8=4 Between 8&16=8 Therefore: X= 1 4/8 (Approximately) Check Estimations with Calculator!	Interpolation of Square Roots √9 = 3 √13 = X √16 = 4 Since the number 13 is between 9 & 16, logically assume X is between 3 & 4. Therefore: 9 13 25 Between 9&13=4 Between 9&16=7 Therefore: X = 3 4/7 (Approximately) Check Estimations with Calculator!
Counting and Natural Numbers Counting Numbers: 1,2,3,4,5, etc… Natural Numbers: 1,2,3,4,5, etc… Single or Double or Triple Digit Numbers? Can you think of any other type of numbers?	Even and Odd Numbers Even Numbers: 2,4,6,8, etc… Odd Numbers: 1,3,5,7, etc… Do Even & Odd have any numbers in common? Do Even and Odd have anything in common?
Rational Numbers Any Number whose Decimal Equivalent Stops or Does Not Repeat. 4/5 = .8 3/4 = .75 5/8 = .625 1 1 2 = 1.5 3 1/5 = 3.2	Irrational Numbers Any Number whose Decimal Equivalent Does Not Stop or Does Not Repeat. 2/3 = .666… 5/6 = .8333… … means the number repeats.

Thomas Love Malone College 2006/2008