ATI TEAS 6 study guide Math

Decimal Placement/Converting - Correct Answer-- Value greater than 1, Move decimal to right till you get whole number. - Number becomes numerator and 1 becomes denominator with the number of 0's that matches number of moves for decimal. = *Fraction* - Value less than 1. Use whole number as numerator and the *Place value* of *last decimal Digit* as denominator. =*Fraction* Percentage Convert to/from Decimal - Correct Answer-*TO* - Divide % by 100 then remove % symbol *FROM* - Multiply by 100 then add % symbol Divide % by 100 - Correct Answer-How do you convert a percent into a decimal? Percentage Convert to/from Fraction - Correct Answer-*TO* - Convert to decimal first (divide by 100) then put into simplest form *FROM* - Convert to decimal (multiply to get 100 in denominator then divide by denominator) then put decimal into % Fraction Convert to Decimal - Correct Answer-Divide numerator by denominator Order of Operations - Correct Answer--PEMDAS (No exponent for TEAS 6) -Parentheses *FIRST* -Multiplication and Division *SECOND* (Left to Right) -Addition and Subtraction *THIRD* (Left to Right) Compare and Order Rational Numbers - Correct Answer--*Rational Numbers*: -6 (- 6/1), 5 (5/1), 100 (100/1) -*Irrational Numbers*: Square root (any prime number), pi -*Numeric Order*: Least to Greatest, Greatest to Least. Best in decimal form. Line them up vertically. -*Fraction/Fraction Form*: 5 2/7 (put into decimal) Divide 2 by 7 to get .2857 which will equal 5.2857 , __ - Correct Answer-Less than, IS fewer than Less than or equal to, is at most, is no more than , __ - Correct Answer-Greater than, IS more than Greater than or equal to, is at least, is no less than = - Correct Answer-Equal, equal to, is, was, were, will be, yields, becomes Common Denominator - Correct Answer-1. Find least on on multiple of denominator 2. Change each fraction to make their denominator the same as least common denominator ~List multiples of each denominator and find SMALLEST number ~Multiply numerator by multiple of LCD, Use LCD as denominator Solve Equations in One Variable - Correct Answer-Collecting all variable terms to *one* side of the equal sign and all the constants on the other side, using addition or subtraction. Once all like terms are combined, last step is to divide. Could also be multiplication by the reciprocal ( One divided by original number). Extraneous - Correct Answer-Incorrect Story that is interesting containing details that aren't necessary to tell you what happened. Erroneous - Correct Answer-Irrelevant Story might contain *conflicting* accounts of what happened due to having multiple observers. Terms Related to Operations - Correct Answer-Sum (+) , Difference (-) , Product (x) , Quotient ( / ) , Per 100 (#% __ 100%), Is or Of (#% __ 100%) Rational Numbers can be represented by? - Correct Answer-By *fractions* Includes: Whole Numbers, Positives/Negatives, Zero, and all decimals that either terminate or repeat. ~Irrational numbers will not concern us at this point Solve Real World Problems with Percentage - Correct Answer-Percent *LESS THAN OR EQUAL TO* 100% ~(50% - 50 out of 100%) Percent *MORE THAN* 100% ~(150% is 150 for each 100) -Percent off sales tax, annual percent interest rate at a bank, annual percent gain or loss for a company or business, percent commission for sales person, percent depreciation of assets, percentages of ingredients in a mixture or recipe. Sales Tax Equation - Correct Answer--Convert % to decimal then Multiply % times the Original Number (% x Original Price, Original Price + x = ST) Percent Increase Equation - Correct Answer-- Percent Increase ~ PI= new amount - original amount/ original amount X 100% Percent Decrease Equation - Correct Answer-PD = original amount - new amount/ original amount X 100% Rounding Rules - Correct Answer-- 5 or *LARGER*, round *UP* (decimals) - 5 or *SMALLER*, Round *DOWN* (decimals) - Numerator is *GREATER THAN OR EQUAL TO 1/2* the denominator, then round whole # *UP* - Numerator is *LESS THAN OR EQUAL TO 1/2* the denominator, then round whole # *DOWN* Proportions - Correct Answer-Ratio in fraction form set equal to another ratio in fraction form. ~Examp