AFOQT Math Knowledge/Arithmetic Reasoning UPDATED ACTUAL Exam Questions and CORRECT Answers

AFOQT Math Knowledge/Arithmetic
Reasoning UPDATED ACTUAL Exam
Questions and CORRECT Answers
Natural Number - CORRECT ANSWER - greater than 0, has no decimal or fraction
attached
Ex) 1,2,3


Whole Number - CORRECT ANSWER - natural numbers and the number zero



Integers - CORRECT ANSWER - positive and negative natural numbers and 0



Rational Number - CORRECT ANSWER - can be fractions, decimals must terminate or
repeat


Irrational Number - CORRECT ANSWER - can't be fractions; never ends and never
repeats


Real number - CORRECT ANSWER - number that can be represented by a point on a
number line


Imaginary Number - CORRECT ANSWER - imaginary unit "I" where I = square root of -
1


Complex number - CORRECT ANSWER - from a+bi where a and b are real numbers



Factors - CORRECT ANSWER - all the numbers that can multiply together to make the
number

, Prime numbers - CORRECT ANSWER - divisible by itself and 1



Composite numbers - CORRECT ANSWER - more than 2 factors



Prime Factorization - CORRECT ANSWER - writing numbers as products of prime
numbers


Properties of number systems - CORRECT ANSWER - - rational numbers are closed
under all 4 operations except division
- Real numbers are closed under all 4 operations
- Complex numbers are closed under all 4 operations
- Irrational numbers are not closed under any of the 4 operations


Commutative property - CORRECT ANSWER - ab=ba



Associative Property - CORRECT ANSWER - a+(b+c) = (a+b)+c



Distributive Property - CORRECT ANSWER - a(b+c) = ab+ac



Identity Property - CORRECT ANSWER - a*1=a or a+0=a



Inverse Property - CORRECT ANSWER - a+(-a)=0 so a=1/a



Order of Operations - CORRECT ANSWER - PEMDAS



Length - CORRECT ANSWER - inch/foot/yard/mile (m)



Mass - CORRECT ANSWER - ounce/pound/tons (g)