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34 Cards in this Set

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WHAT ARRE THE 4 KEY WORDS TO REMEMBER OF APPLICAIONS OF NUMBER THEORY
MENTAL MATH TECHNIQUES
PERMUTATIONS
COMBINATIONS
PROPRTIES OF REAL NUMBERS
MENTAL MATH TECHNIQUES
PERMUTATIONS
COMBINATIONS PROPERIES OF REAL NUMBERS
THE FIRST OF THE TWOD DISCRIPTORS OF APPS OF NUMBER THEORY-DISCRIPTOR 1
USE PRINCIPLES OF NUMBER THEORY AND PROPERTIES OF OR DECIMAL BASED SYSTEM TO PERFORM ARITHEMTIC OPERATIONS MENTALLY OR QUICKLY
THE FIRST OF THE TWOD DISCRIPTORS OF APPS OF NUMBER THEORY-DISCRIPTOR 2
USE PERMUTATIONS AND COMBINATIONS TO SOLVE PROBLEMS
THE FIRST OF THE TWOD DISCRIPTORS OF APPS OF NUMBER THEORY-DISCRIPTOR 3
APPS PROBLEMS REQUIRING THE USE OF NUMBERS TO QUANTIFY MEASURES
PRIME NUMBERS
TWO FACTORS 1 AND ITSELF
THE PRIME NUMBERS BEGIN WITH 2
ZERO AND ONE ARE NOT PRIME NUMBERS
EXAMPLE OF A PRIME NUMBER
11 IS PRIME: HAS EXACTLY TOW FACTORS 1 AND 11
11 AND ?
COMPOSITE NUMBER:
MORE THAN TWO FACTORS
EXAMPLE OF A COMPOSITE NUMBER
24 IS A COMPOSITE HAS MOULTIPLE FACTORS- (1,2,3,4,5,6,7,8,12,24)
COMPOSITE OF WHAT NUMBER?
EVEN NUMBERS
INTERGERS DIVISABLE BY 2
IF N=ANY INTERGER, THEN 2N+1 IS AN ODD NUMBER
EN
ODD NUMBERS OR INTERGERS
INTEGERS DIVISABLE BY 2
IF N=ANY INTERGER, THEN 2N+1 IS AN ODD NUMBER
ON
PRIME FACTORIZATION, GCF
FACTORZATION OR FACTORING
PROCESS USED TO REWRITE A COMPOSTIE NUMBER AS THE PRODUCT OF TWO OR MORE FACTORS
PRIME FACTORIZATION, GCF
FACTORZATION OR FACTORING
EXAMPLES
ALL OF THESE ARE WAYS THE NUMBER 24 CAN BE FACTORED 24=1(24) OR 2(12) OR 3(8) PR 4(6)_-
PRIME FACTORING
FACTORZATION OR FACTORING
EXAMPLES-EXAMPLES
24=(2)(2)(2)(2)
GCF DEFINE
LARGEST FACTOR BY WHICH TWO DIFFRIENT NUMBERS ARE DIVISIBLE
GCF EXAMPLES-WHAT IS THE GCF OF 24 AND 32?
MAKE A NUMBER TREE
24-BRANCH 1 (1,24)
24-BRANCH 2 (3,12)
24-BRANCH 3 (3,8)
24 BRANCH 4 (4.6)
BANCH 2
BRANCH 1 (1<32)
BRANCH 2 (2,16)
BRANCH 3 (4,16)
MENTAL ARITHMATIC
DIVISIBILTY RULES
DIVISIBLE BY 2: NUMBER IS EVEN
DIVISIBLE BY 3: SUM OF DIGITS DIVISIBLE BY 3
DIVISIBLE BY 5: NUMBER ENDS IN 0 OR 5
DIVISIBLE BY 6: EVEN NUMBER DIVSIBLE BY 3
DIVIISBLE BY 9: SUM OF DIGITS DIVISIBLE BY 9
DIVISIBLE BY 10: NUMBER ENDS IN 0
QUICK ARITHIMATIC: N20 ARROW X2,X10
0n*25
100/4*100
17*25=/4, X100
Nx50=>/2, *100
QUICK ARITHIMATIC:DIVISION
N/20=> X2, X10
PERCENTS AND FRACTIONS
LEARN THE UNIT PERCENTS AND THEIR FRACTIONAL EQUIVALENTS AND THEN JUST USE MULTUIPLES
unit prcent
unit fraction
unit percent
unit fraction
1%
1/100
100%
1
unit prcent
unit fraction
unit percent
unit fraction
2%
1/50
50%
1/2
unit prcent
unit fraction
unit percent
unit fraction
4%
1/25
25%
1/4
unit prcent
unit fraction
unit percent
unit fraction
5%
1/20
20%
1/5
unit prcent
unit fraction
unit percent
unit fraction
33 1/3%
1/3
10%
1/10
Lenth, area, Volume, capacity, density-LENTH
MEASURS OF 1 DIEMENSION SUCH AS FET, INCHES, METERS, KILOMETERS, MILES
Lenth, area, Volume, capacity, density-AREA
MEASURE OF TWO DIMENSIONS OR PART OF SURFACE, SUCH AS FT^2, M^2, IN^3, CM^3
Lenth, area, Volume, capacity, density-VOLUME
MEASURE OF 3 DIMIENSIONS OR OCCUPIED BY SPACE, SUCH AS FT^3, m^3, CM^3
Lenth, area, Volume, capacity, density-CAPACITY
A MEASURE BASED ON THREE DIMENESIONS OR HOW MUCH SOMETHING WILL GOLD SUCH AS GALLONS, LITERS, PINTS, QUARTS, OUNCES
Lenth, area, Volume, capacity, density-DENSITY
DESITY IS PHYSICAL PROPERTY OF MATTER RELATED TO MASS AND VOLUME-DENSITY=MAS/VOL
DURING TESTING YOU ARE PROVIDED WITH A CHART THAT HAS THE FOLLOWING FORMULAS
CIRCUM CIRCLE
AREA: CIRCLE TRAINGLE, RHOMBUS, TRAPZOID, SURFACE AREA:SPHERE
LATERAL AREA: CYLINDER
vOLUME CLYINDER, CONE, SPHRE PRISM
WHICH OF THE 3 SHAPES ARE U UNSURE OF?
RHOMBUS
TRAPEZOID
SO STUDY AND UNDERSTAND THEM!
COUNTING TECHNIQUES:PERMUTATIONS
AN ARRANGEMENT FO THE ELEMENTS FORM A GIVEN SENT IN A DEFINATE ORDER-GIVE {A, B. c} THERE ARE 6 DIFFIENT ARRANGEMENTS ABC, ACB, BAC, BCA, CZB, CBA-DO EXAMPLB PROMBEM ON PAGE 52
COMBINATIONS COUNTING TECHNIQUES
COMBINATIONS ARE UNIQUE SUBSETS OF THE ELEMENTS SET, REGARDLESS HOW THEY ARE ARRANGED-GIVEN {A,b,c} THERE IS 1 UNIQUE ARRANGEMENT BECAUSE EACH ARRANGEMENT HAS THE SAME LETTERS**DO THE EXAMPLE ON THE BOTTEM OF PAGE 52*****AND TOP OF 53***
A FOURTH GRADE TEACHER WANTED T BUILD A SANDBOX FOR HER ROOM THAT SHE COULD USE TO TEACH STUDENTS ABOUT ARTIFACTS. THE bOX WAS TO BE FILLED TO A DEPTH O F15 INCHES AND HAD DIMENSITONS OF 5 FT BY 4 FT BY 3 FT BY 2 FT. iF ABOUT 1/4 A CUBIC FOOT WEITHS 10 POUNDS, HOW MANY POUNDS OF SAND ARE NEED TO FILL THE SANDBOX?
DRAW A SANDBOX 5 ON THE BOTTEM LENGTH, 4 ON THE BOTTEM SIDE LENGTH, AND 2 ON THEH HIGHT =A 1000PDS FIRST CONVERT THE 15 INCHES TO FEET, 15/12=5/4 FOOT, v=BH=5 (4) =25FT^2 VOLUME =B * h
1/4FT^3=10 POUNDS SO 1 FT=40 POUN-SO THE AMOUNT OF SAND NEED IS 25(40) OR 1000 POUNDS OF SAND