Exponent & Square Root Concepts – Basic College Mathematics for Teachers

K. Elayn Martin-Gay – Page 1

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.

Exponent & Square Root Concepts – Basic College Mathematics for Teachers

K. Elayn Martin-Gay – Page 2

Prime Numbers Numbers divisible only by one (1) and self! Examples for Prime Numbers! 1, 3, 5, 7, 11, 13, etc…. What are some more? What about Odd and Even Numbers?

Composite Numbers Numbers divisible by more than one (1) and self! Examples of Composite Numbers! 2,4,6,8,10,12,14,15,16, etc…. Wow! Really a lot of numbers! What about Odd and Even Numbers?