TEAS V Math from ATI Study Guide Exam
Questions with Revised Rationalized
Answers, (A+ Guarantee)
Order of Operations - Rules - What to do first? - CORRECT ANSWERS "PEMDAS"
Parentheses, Exponents, Multiplication and Division (Left to Right) and Addition and Subtraction (Left to
Right)
Square Feet Review - Finding Total Square Feet - CORRECT ANSWERS Add up all four sides to
find total square feet
A fence that is 25 feet by 30 feet means Total SqFt = 25+25+30+30 = 110 square feet
Addition and Subtraction of Fractions with Unlike Denominators - Summary of Steps - CORRECT
ANSWERS 1. Convert mixed numbers to improper fractions
2. Simplify if possible
3. Find Least Common Denominator (LCD) - will be new denominator for both fractions
4. Make fractions equivalent - multiply numerator and denominator by same number to get LCD
5. Add or subtract numerators, leave Den. unchanged
6. Always Simplify! Never leave improper fractions
Division and Multiplication of Fractions or Mixed Numbers - Summary of Steps - CORRECT ANSWERS
Multiplication:
1. Convert Mixed Number to Improper Fraction
2. Simplify
3.Multiple numerators and denominators together
4. Simplify and convert any improper fractions
Division: Simplify, flip second fraction and multiply as above
, Simplify Fractions while Multiplying - Saving time! - CORRECT ANSWERS You can Cross Simplify
fractions by dividing opposite numerators and denominators with a common factor before multiplying.
Multiplying Decimals - CORRECT ANSWERS 1. Multiple numbers as if whole numbers.
2. Then count total number of decimal places in the factors and add them (Ex: 2.2 and 2.33 has three
total decimal places)
3. Add the total number of Decimal places to product, counting left to right (Ex: 22*233 = 5126 --> 5.126
final answer)
Real Number - Define - CORRECT ANSWERS either rational or irrational
Irrational Number - Define - CORRECT ANSWERS Cannot be written as fractions. Common ones
are some square roots, cube roots, and pie
Rational Number - CORRECT ANSWERS Real number that can be a fraction, terminating
decimal or repeating decimal
Approximating Decimals of Irrational Numbers - What is the cube root of 10? - CORRECT ANSWERS
You know cube root of 8 and the cube root of 27 is 3 so it must be between 2 and 3 and closer to 2 -
estimation: 2.15
What irrational number can be approximated by the number 3.3166? - CORRECT ANSWERS If
the square root of 9 is 3 and the square root of 16 is 4 then it must be between those two square roots.
Square Root of 11 is a good estimate be 3.3166 is closer to 3 than 16
Calculation of Percents - CORRECT ANSWERS The word "of" = multiply.
15 of 500 = % --- > 15*500 =25%
What percent of 250 is 10? ---> set up equation and solve 250X = 10 -->X = 4%
Questions with Revised Rationalized
Answers, (A+ Guarantee)
Order of Operations - Rules - What to do first? - CORRECT ANSWERS "PEMDAS"
Parentheses, Exponents, Multiplication and Division (Left to Right) and Addition and Subtraction (Left to
Right)
Square Feet Review - Finding Total Square Feet - CORRECT ANSWERS Add up all four sides to
find total square feet
A fence that is 25 feet by 30 feet means Total SqFt = 25+25+30+30 = 110 square feet
Addition and Subtraction of Fractions with Unlike Denominators - Summary of Steps - CORRECT
ANSWERS 1. Convert mixed numbers to improper fractions
2. Simplify if possible
3. Find Least Common Denominator (LCD) - will be new denominator for both fractions
4. Make fractions equivalent - multiply numerator and denominator by same number to get LCD
5. Add or subtract numerators, leave Den. unchanged
6. Always Simplify! Never leave improper fractions
Division and Multiplication of Fractions or Mixed Numbers - Summary of Steps - CORRECT ANSWERS
Multiplication:
1. Convert Mixed Number to Improper Fraction
2. Simplify
3.Multiple numerators and denominators together
4. Simplify and convert any improper fractions
Division: Simplify, flip second fraction and multiply as above
, Simplify Fractions while Multiplying - Saving time! - CORRECT ANSWERS You can Cross Simplify
fractions by dividing opposite numerators and denominators with a common factor before multiplying.
Multiplying Decimals - CORRECT ANSWERS 1. Multiple numbers as if whole numbers.
2. Then count total number of decimal places in the factors and add them (Ex: 2.2 and 2.33 has three
total decimal places)
3. Add the total number of Decimal places to product, counting left to right (Ex: 22*233 = 5126 --> 5.126
final answer)
Real Number - Define - CORRECT ANSWERS either rational or irrational
Irrational Number - Define - CORRECT ANSWERS Cannot be written as fractions. Common ones
are some square roots, cube roots, and pie
Rational Number - CORRECT ANSWERS Real number that can be a fraction, terminating
decimal or repeating decimal
Approximating Decimals of Irrational Numbers - What is the cube root of 10? - CORRECT ANSWERS
You know cube root of 8 and the cube root of 27 is 3 so it must be between 2 and 3 and closer to 2 -
estimation: 2.15
What irrational number can be approximated by the number 3.3166? - CORRECT ANSWERS If
the square root of 9 is 3 and the square root of 16 is 4 then it must be between those two square roots.
Square Root of 11 is a good estimate be 3.3166 is closer to 3 than 16
Calculation of Percents - CORRECT ANSWERS The word "of" = multiply.
15 of 500 = % --- > 15*500 =25%
What percent of 250 is 10? ---> set up equation and solve 250X = 10 -->X = 4%
