AFOQT Math Knowledge/Arithmetic Reasoning
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)
, Volume - correct answer cup/pint/quart/gallon (L)
Force - correct answer pound-force in Newtons
Pressure - correct answer pound-force per square inch (pascal)
Work and Energy - correct answer cal/British thermal unit (Joule)
Temperature - correct answer Farenheit (K)
Charge - correct answer faraday (coulomb)
Tera - correct answer T (x 1,000,000,000,000)
Giga - correct answer G (x 1,000,000,000)
Mega - correct answer M (x1,000,000)
Kilo - correct answer k (x1,000)
Hecto - correct answer h (x100)
Deca - correct answer da (x10)
deci - correct answer d (.1)
centi - correct answer c (x .01)
milli - correct answer n(x.001)
micro - correct answer M (x.0000001)
nano - correct answer n (x.0000000001)
pico - correct answer p (x.0000000000001)
1 inch - correct answer 2.54 cm
1 yd - correct answer .914 m or 3 ft
1 mile - correct answer 1.61 km
1 gallon - correct answer 3.785 L
1 lb - correct answer .454 kg
1 cal - correct answer 4.19 J
1 degree Farenheit - correct answer 5/9 (degree farenheit -32 degree celcius)
1 cm^3 - correct answer 1 mL
1 hour - correct answer 3600 seconds
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)
, Volume - correct answer cup/pint/quart/gallon (L)
Force - correct answer pound-force in Newtons
Pressure - correct answer pound-force per square inch (pascal)
Work and Energy - correct answer cal/British thermal unit (Joule)
Temperature - correct answer Farenheit (K)
Charge - correct answer faraday (coulomb)
Tera - correct answer T (x 1,000,000,000,000)
Giga - correct answer G (x 1,000,000,000)
Mega - correct answer M (x1,000,000)
Kilo - correct answer k (x1,000)
Hecto - correct answer h (x100)
Deca - correct answer da (x10)
deci - correct answer d (.1)
centi - correct answer c (x .01)
milli - correct answer n(x.001)
micro - correct answer M (x.0000001)
nano - correct answer n (x.0000000001)
pico - correct answer p (x.0000000000001)
1 inch - correct answer 2.54 cm
1 yd - correct answer .914 m or 3 ft
1 mile - correct answer 1.61 km
1 gallon - correct answer 3.785 L
1 lb - correct answer .454 kg
1 cal - correct answer 4.19 J
1 degree Farenheit - correct answer 5/9 (degree farenheit -32 degree celcius)
1 cm^3 - correct answer 1 mL
1 hour - correct answer 3600 seconds
