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Least Common Factor:
The smallest number that can be divided evenly by each of a group of specified numbers
i.e. Find the LCM of 75, 125
 75: 75, 150, 225, 300, 375
 125: 125,250,375


Reducing Fractions:
Reduce by finding multiples of both numbers, reduce to the least common factors
i.e
 =
 (divide num & denom by 8)

Place Value/ Decimal Numbers:
i.e
Find the place value of 1.694
Round 535.123 to the nearest tenth
 1.694 = thousandths place
 535.123 = 535.1

Fractions to Decimals:
divide the numerator by the denominator

 27÷8
 3.375

Decimal to Fraction:
use place value
i.e convert 0.45 to a fraction
 convert 0.45 to a fraction
 (divide by 5)


Percents:
Per hundreds (divide by 100)
Decimals to Percents: move decimal place 2 places to the right
Percents to Decimals: move decimal place 2 places to the left

Natural Numbers:
Set of natural / counting numbers
1,2,3,4,5,6,7,8,9....

Real Numbers:
sets of real numbers/ all numbers
1, 1, , 0.5

Whole Numbers:
All natural numbers and zero
0,1,2,3,4,5,6,7,8,9....

Even Numbers:
all numbers divisable by 2 (feminine)
2,4,6,8,10,12...

Odd Numbers:
remainder of 1 when divided by 2 (masuline)
1,3,5,7,9,11....

Subset:
If all members of one set are also members of a second set, the first set is a subset of the second
i.e B{1,2} A{1,2,3}

Subsets of Real Numbers:
 Whole Numbers {0,1,2,3,4,5,6}
 Natural Numbers {1,2,3,4,5,6}
 Real Numbers { 1, 0.5, , [9], 0.5555}

Intergers:
All whole numbers and the opposite of every whole number (not including fractions or decimals)
{4,3,2,1,0,1,2,3,4}

Rational vs Irrational Numbers:
Rational Numbers: fractions in which numerator & denominator are intergers
Irrational Numbers: cannot be repeated as fractions of intergers (π, √2)

Multiplying with Real Numbers
 (+) (+) = (+)
 (+) () = ()
 () () = (+)

Dividing with Real Numbers
 (+) / (+) = (+)
 () / (+) = ()
 (+) / () = ()
 () / () = (+)
 (#) / (0) = (undefined)

Additive & Multiplicative Inverses
 additive inverses = opposites
 multiplicative inverses = reciprocals

Adding & Subtracting Fractions:
must have common denominator
(divide both numbers by 7, find LCM of 98 & 28)

Multiplying & Dividing Fractions:
to divide fractions, mulitply by the reciprical

Adding & Subtracting Decimal Points:
line up decimals
 170.826 + 100.7 + 3.02
 170.826 + 103.72
 67.106

Identity Property of Addition:
0 + a = a

Identity Property of Multiplication:

