OAE 055 Study Guide – Questions With Complete
Answers
Inductive vs Deductive Reasoning Right Ans - inductive: specific to general
deductive: general to specific
In inductive reasoning, broad statements are made from some data to create
conjectures.
In deductive reasoning, true statements are used to make a proper conclusion
and evaluate a conjecture's validity.
Why is the real world application of math important? Right Ans - engaging,
relevant, concrete, background knowledge, increases retention, connects
across all subjects
half dollar Right Ans - 50 cents
dollar coin Right Ans - woman
1 gram is about the mass of a
1 kilogram is about the mass of a Right Ans - paperclip
car
How many cm are in an inch? Right Ans - 2.54 cm = 1 inch
how many ft in a mile Right Ans - 5280 ft
divide by 3 gives you 1760 yd
1 cm = ? mm
1 meter = ? cm
1 kilometer = ? meters Right Ans - 10 mm
100 cm
1000 meters
how can approximation be avoided? Right Ans - round after performing
calculations
,metric system mnemonic Right Ans - King Henry Died By Drinking
Chocolate Milk
Volume of a cylinder Right Ans - V=πr²h
Volume of a sphere Right Ans - V=4/3πr³
Volume of a cone Right Ans - V=1/3πr²h
Volume of a prism Right Ans -
what is a rational number? Right Ans - A number that can be written as a
fraction
real numbers Right Ans - have a specific value
irrational numbers Right Ans - Any real number which cant be expressed
as a fraction of two integers
usually represented by a symbol (Pi) or approximated
Communtative Property Right Ans - the order of the addends does not
matter. The sum stays the same. This also works for multiplication
a+b=b+a
"they can commute around"
Associative Property Right Ans - Changing the grouping of numbers will
NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8)
also works with multiplication
"they can associate with whomever they choose"
Distributive Property Right Ans - a(b + c) = ab + ac
the number "distributes" itself to each other term
Additive Identity Property Right Ans - The sum of any number and zero is
the number
, 0 + -2 = -2
Multiplicative Identity Property Right Ans - When any number is multiplied
by 1, the product is the number
5x1=5
Additive Inverse Property Right Ans - a number plus its opposite is zero
-2 + 2 = 0
Multiplicative Inverse Property Right Ans - The product of a number and
its reciprocal is one
5 x 1/5 = 1
what is a reciprocal? Right Ans - You flip the number upside down. The
numerator becomes the denominator and vice versa.
5's reciprocal is 1/5
Zero Property of Multiplication Right Ans - The product of any number and
zero is zero;
4x0=0
Closure Property Right Ans - The sum or product of any two real numbers
is a real number
The product of two rational numbers is a rational number.
In fraction decomposition and fraction composition, the denominator is the
___________.
The numerators will add up (_____________) or break apart (_______________) to the
same total. Right Ans - SAME
composition
decomposition
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