AFOQT Math Knowledge/Arithmetic Reasoning Questions with Detailed Verified Answers

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AFOQT Math Knowledge/Arithmetic
Reasoning Questions with Detailed
Verified Answers
Natural Number Ans: greater than 0, has no decimal or fraction
attached

Ex) 1,2,3

Whole Number Ans: natural numbers and the number zero

Integers Ans: positive and negative natural numbers and 0

Rational Number Ans: can be fractions, decimals must terminate
or repeat

Irrational Number Ans: can't be fractions; never ends and never
repeats

Real number Ans: number that can be represented by a point on
a number line

Imaginary Number Ans: imaginary unit "I" where I = square root of -
1

Complex number Ans: from a+bi where a and b are real numbers

Factors Ans: all the numbers that can multiply together to make
the number

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Prime numbers Ans: divisible by itself and 1

Composite numbers Ans: more than 2 factors

Prime Factorization Ans: writing numbers as products of prime
numbers

Properties of number systems Ans: - 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 Ans: ab=ba

Associative Property Ans: a+(b+c) = (a+b)+c

Distributive Property Ans: a(b+c) = ab+ac

Identity Property Ans: a*1=a or a+0=a

Inverse Property Ans: a+(-a)=0 so a=1/a

Order of Operations Ans: PEMDAS

Length Ans: inch/foot/yard/mile (m)

Mass Ans: ounce/pound/tons (g)