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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
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Reducing Fractions:
Reduce by finding multiples of both numbers, reduce to the least common factors
i.e 
- =
- (divide num & denom by 8)
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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
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Fractions to Decimals:
divide the numerator by the denominator
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- 27÷8
- 3.375
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Decimal to Fraction:
use place value
i.e convert 0.45 to a fraction
- convert 0.45 to a fraction
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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
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Natural Numbers:
Set of natural / counting numbers
1,2,3,4,5,6,7,8,9....
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Real Numbers:
sets of real numbers/ all numbers
1, -1, , 0.5
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Whole Numbers:
All natural numbers and zero
0,1,2,3,4,5,6,7,8,9....
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Even Numbers:
all numbers divisable by 2 (feminine)
2,4,6,8,10,12...
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Odd Numbers:
remainder of 1 when divided by 2 (masuline)
1,3,5,7,9,11....
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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}
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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}
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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}
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Rational vs Irrational Numbers:
Rational Numbers: fractions in which numerator & denominator are intergers
Irrational Numbers: cannot be repeated as fractions of intergers (π, √2)
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Multiplying with Real Numbers
- (+) (+) = (+)
- (+) (-) = (-)
- (-) (-) = (+)
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Dividing with Real Numbers
- (+) / (+) = (+)
- (-) / (+) = (-)
- (+) / (-) = (-)
- (-) / (-) = (+)
- (#) / (0) = (undefined)
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Additive & Multiplicative Inverses
- additive inverses = opposites
- multiplicative inverses = reciprocals
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Adding & Subtracting Fractions:
must have common denominator
(divide both numbers by 7, find LCM of 98 & 28)
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Multiplying & Dividing Fractions:
to divide fractions, mulitply by the reciprical
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Adding & Subtracting Decimal Points:
line up decimals
- -170.826 + 100.7 + 3.02
- -170.826 + 103.72
- -67.106
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Identity Property of Addition:
0 + a = a
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Identity Property of Multiplication:
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