Comp 10 Number Systems

Front 1

What comp must you recognize, use and relate the various sets of numbrs with the complex number system?

Back 1

Competencay 10

Hint 1

10

Front 2

Which competency states that you need to use different concrete, pictorial and symbolic forms of a number

Back 2

10

Front 3

What comp must you recognize and use the verious characteristics of the sets with the complex number syste

Back 3

10

Front 4

define the classicfication of all real numbers

Back 4

SET OF REAL NUMBERS DENOTED BY R CONTAINS ALL FORMS AND STRUCTURES OF NUMBERS USED IN MATHMATICS

Hint 4

R

Front 5

HOW ARE REAL NUMBERS CLASSIFUED

Back 5

ACCURACY, FORM AND VALUE

Hint 5

A, C, R,

Front 6

ANY REAL NUMBER MAY BE EITHER RATIONAL, IRRARATION, POSTIVE, OR NEGATIVE

Back 6

RATIONAL, IRRARATION, POSTIVE, OR NEGATIVE

Hint 6

R, iR, P, N

Front 7

CLASSIFICATION OF REAL NUMBERS IN TERMS OF ACCURACY.
WHAT IS THE FIRST TYPE

Back 7

RATIONAL NUMBERS-IS A REAL NUMBER THAT CAN BE WRITTIN OR EXPRESSED AS A RATIO OF TWO INTERGERS AND AND DECIMALS ARE REPEATING FOR RATINAL NUMBERS EXP. 5/2, -10 1/4, 1.333, 42234(line above 234) etc

Hint 7

examples: EXP. 5/2, -10 1/4, 1.333, 42234(line above 234) etc

Front 8

Which of the following three are real numbers 2.4, 1/7, Pie

Back 8

2.4, and 1/7

Hint 8

1.7 can be expressed as 0.142857 with a small line above the one to the seven

Front 9

Why is pie not a rational number

Back 9

pie=3.14159265 it does not repeat anytime early

Front 10

define a fraction strip

Back 10

a piece of paper with lines, with lines on one level over the other.

Front 11

what type 5/8

Back 11

rational

Hint 11

r

Front 12

what type 5=5/1

Back 12

rational

Hint 12

r

Front 13

25=1/4

Back 13

ratioanl

Hint 13

r

Front 14

.333=1/3

Back 14

ratioanl

Hint 14

r

Front 15

CLASSIFICATION OF REAL NUMBERS IN TERMS OF ACCURACY.
WHAT IS THe second type

Back 15

Irrational numbers-are always non terminating or nonrepeating Irrational numbers can be denoted as I.

Front 16

What are the following classafied numbers? 5 under raical sign, 1.23476..., 2 under the radical, e, Pie,

Back 16

Irractional numberrs

Front 17

Please classify 25 under the radical sign

Back 17

Rational because it =5.0. which has a fixed repeating PART OF O

Front 18

4 RADICAL SIGN (1/3) UNDR RADICAL SIGN

Back 18

=0.75983568565 NO DECIMAL REPEATS SO THIS IS IRRATIOAL

Front 19

2.451451451

Back 19

RATIONAL VALUE

Front 20

WHAT IS IT r OR i=RADICAL SIGN 5

Back 20

IR-NONREPEATING

Front 21

NAME SOME CLASSIFICATIONS OF REAL NUMBERS IN TERMS OF THERE..........FORM?

Back 21

DECIAMAL, FRACTIONAL NUMBERS

Front 22

If a fraction looks like this a/0, whats it considered?

Back 22

Undefined

Front 23

what is the symbol W?

Back 23

Whole numbrs

Front 24

define an integers? Are they infinate yes

Back 24

Whole numbers with their opposites generate a set of integers denoted by Z where Z ={-4,-3,-2,-1,0,1,2,3,4}Yes they are infinite, and don't have a max or min value

Front 25

Identify the communative proberty

Back 25

Order doesnt matter

Front 26

Identify Associative

Back 26

Grouping does not matter

Front 27

What is Closure?

Back 27

Operating on two elements of a set results in an element in and element in the set

Front 28

example of closure

Back 28

5+3=8 adding two numbers will give you a WHOLE NUMBER, Subtracting any two whole numbers will not give you a whole number

Front 29

What is a IDENTITY ELEMENT?

Back 29

Operating on an element in a set, with this element leaves the first unchanged exps
0 is the identity element for add. of intergers 1 is the identity element for multiplication

Front 30

Define the Density Property

Back 30

order does not make a diffrence in the result

Front 31

MODES OF REPRESENTATION-BASE TEN BLOCKS=1.42

Back 31

CONCRETE OR PICTORIAL
A) 4 BLOCKS SITTING SIDEWAYS
b) One huge square sitting on a plane
c) and two little square blocks

Front 32

MODES OF REPRESENTATION-Pattern of Blocks-If the hexagon is 1, what part of it has been shaded

Back 32

Take a picture represted by a pie? One slice of the pie is taken away, what do you have left 5 shaded symbols for regular pie and one piece that is white that has been taken away

Front 33

MODES OF REPRESENTATION
what is 25% of a circle

Back 33

a full cirlce with 1/ 4covered in black. to show 25% is gone

Front 34

Which of the follwing below is not closed for the operation of division? Rationals, Integers, C) Natural Numbers, D) Whole Numbers

Back 34

The only set of numbers closed for diviison is the RAtional

Front 35

Applciations of real Numbers:
Mass of 1/20 kilogram=

Back 35

1/20 kg

Front 36

Speed of 60 miles per hour=

Back 36

60 mph

Front 37

time interval of 3.5 hours?

Back 37

3.5 h

Front 38

Percent and its Applicaits. A class contains 25 students. If 20 of them are present, what percent would be present

Back 38

first constrruct a ration:
PART/WHOLE QUANTITY= 20/25 THEN MULTIPLY * 100)=80%, TOTAL STUDENTS PRESTEN WAS 80%

Front 39

wHAT IS THE RELATIVE PERCENT CHANGE FORMULA?

Back 39

rpc =
(INAL VALUE-INITIAL VALUE/iNITIAL VALUE )x 100%

Front 40

Give an example of relative percent change formula. Ex. Due to a heavy rain, a water level in a tank raised from 1.2 m to 1.5 m. Calculate precent change of teh water level?

Back 40

Initial vale is 1.2 m and the final 1.5 m. When you sub these values into the formula above yeilds RPC=
(.5-1.5/1.2) * 100%

Front 41

Relative % err in science formula

Back 41

Measured value-Accepted value/Accepted Value} X 100%

Front 42

Example of relative Percent in Error: A Physics student measured the acceleration due to gravity to be 9.0 m/s^2. If the expected value is 9.8m/s^2, calculate the percent error of measurement.

Back 42

ANSWER: EXPECTED VALUE =9.8M/S^2, MEASURED VALUE=9.0M/S^2
RELATIVE PERCENT ERROR=*100=8.2%

Hint 42

8.2%

Front 43

ROOTS IN ALGEBRA
Roots have a triple meaning in mathmatics and they represent:

Back 43

Zeros of a function
Solutions of an algebiac equation
Result of expnenttiantion when the expoent is a fractioanl proper or inproper

Front 44

Roots:
FIND THE ZEROS OF f(x)=x^2-4 and classify them as rational or irrational

Back 44

EQUATE F(X) TO 0, F(X)=0 YIELDS 0=X^2-4. Seperate x^2 and taking the SQUARE root of both sides, produces X=+-2 tHE 0'S OF THE FUCNTION ARE RATIONAL

Front 45

ALGEBRAIC Roots: FIND THE ROOTS OF THE NUMBERS OF X^2-4X=0?

Back 45

bY APPLYING COMMON FACTORIN WE GET X(X-4)=0

Front 46

WHAT IS Y^2 DEFINE IT?

Back 46

y * Y

Front 47

EXPLAIN SCIENTIFIC NOTATION

Back 47

A *B^10

Front 48

• Powers and Scientific Notation
Power is an expression of the form ab where a is called to base of the power and b is the exponent. If the
exponent is a whole number, then it tells how many times the base must be multiplied by itself to evaluate
the power.
Examples: Write in the expanded form and evaluate if possible.
a. 43
b. y2
c. (1.4)5 (1.5)=1.4x1.4x1.4x1.4x1.4=5.3784=5.4

Back 48

, Answer 43=4x4x4=63
b. y2, Answer y2–yxy
c. (1.4)5, Answer (1.4)5=1.4x1.4x1.4x1.4x1.4=5.3784=5.4

Front 49

• Scientific Notation
Scientific notation is used to express very large or very small quantities by applying a power with the base
of 10. A quantity expressed in a scientific notation has the following form:
a x bn where
a is called the magnitude of the value: -10 < a <1 0
b is called the base: b=10
n is the exponent: n must be an integer, THEN HOW IS DONE
Domain I

Back 49

by applying a power with the base
of 10. A quantity expressed in a scientific notation has the following form:
a x bn where
a is called the magnitude of the value: -10 < a <1 0
b is called the base: b=10
n is the exponent: n must be an integer
Domain I

Front 50

Quantity can be expressed as a fraction or a decimal.

Back 50

A quantity properly described contains a magnitude
and the unit.

Front 51

• Decimal numbers 1.3, 4.1, - 7.278 etc.
Decimal numbers contain a decimal point that separates
the place value of ones from tenths. They can
also contain commas that underline other place values.

Back 51

They can
also contain commas that underline other place values.

Front 52

1. Convert to fractions:
a. 3.2 b. 2.004 c. 00.027

Back 52

Answers. Identifying the place value of each digit
and converting each to a fraction one gets:
A,3.2=3+2 * 1/10= 3 2/5=3 1/5
b> 2.004 +2+4 X 1/1000=2 4/1000= 2 1/250

C)0.027+2 x 1/100+ 7/1000=27/1000

Front 53

Quantity can be expressed as a fraction or a decimal.

Back 53

A quantity properly described contains a magnitude
and the unit.

Front 54

• Decimal numbers 1.3, 4.1, - 7.278 etc.
Decimal numbers contain a decimal point that separates
the place value of ones from tenths. They can
also contain commas that underline other place values.

Back 54

They can
also contain commas that underline other place values.

Front 55

1. Convert to fractions:
a. 3.2 b. 2.004 c. 00.027

Back 55

Answers. Identifying the place value of each digit
and converting each to a fraction one gets:
A,3.2=3+2 * 1/10= 3 2/5=3 1/5
b> 2.004 +2+4 X 1/1000=2 4/1000= 2 1/250

C)0.027+2 x 1/100+ 7/1000=27/1000