Whole Number ConceptsBasic College Mathematics for Teachers

Reference:     K. Elayn Martin-Gay – Page 1        Definition:  Number

Place Value Name of Whole Numbers

Given:  Place Value Name underline correct Numeral.

Ones                        Tens                 Hundreds

Thousands     TenThousands    HundredThousands

Underline TenThousands Numeral:       38,294,019

# Place Value Name of Whole Numbers

Given:  Underlined Numeral select Place Value Name.

Ones                        Tens                 Hundreds

Thousands     TenThousands    HundredThousands

Circle correct Place Value Name:       38,294,019

Given:   Symbolic Whole Number read in Words.

4, 235  =  Four Thousand two hundred thirty five

768   =  Seven Hundred sixty eight

# Writing Whole Numbers

Given:   LinguisticWhole Number write in Symbols

Two Thousand three hundred six  =    2306

Nine Hundred eight seven   =   987

Line Up the Ones, Tens, Hundreds,

as well as all other Place Value positions.

Add each column, if single digit write it down.

If double digit then write down right digit

and carrying to the next column the left digit.

425

+ 5918

# Subtraction of Whole Numbers

Subtraction is a binary operation

and can only be done with two numbers.

Line Up the Ones, Tens, Hundreds, etc…

then subtract each starting with ones column

and borrowing from left column when needed.

327

53

# Multiplication of Whole Numbers

Multiplication is a repeated addition of two numbers.

Line up as in Addition then starting with Ones digit

multiply all digits in the preceding (above) number.

Repeat this procedure with the Tens, etc…  Digit.

234

x 56

1404

1170

### Division of Whole Numbers

Division is repeated subtraction of two numbers

It would be best to view and

example as in Basic College Mathematics

in Chapter One – Page 90

17  |  504

34

164

– 153       R = 11

Thomas Love                   Malone College                 2006/2008

# Rounding Off Whole Numbers

Given:  22          Given:  25         Given:  27

|-----------------|-----------------|

20                       25                      30

If less than half Round Down  ( 22 à 20 )

If greater then half Round Up  ( 27 à 30 )

If equal to half then Round Up  ( 25 à 30 ) Why?

# Comparison and/or Ranking Whole Numbers

(    <       =       >    )

Given:  Two Numbers  compare with correct  symbol.

35 < 78                42 = 42                69 > 24

Less than                 Equal             Greater than

Rank Numbers:       Hi to Lo   &   Lo to Hi

# Problem Solving

1. Read and Understand the Problem

2. Translate or Change Words to Symbols

3. Solve or Evaluate Symbolic Equation

4. Interpret or Check the Proposed Solution

Evaluate  A,S,M,D problems: Whole Numbers

A number is 4 more than twice another number.

# Order of Operations

1. Inclusion Symbols:   [ ]   { }   ( )

2. Exponents & Sq Roots

3. Multiply & Divide

Simplify Complex arrangements of Whole Numbers

92 – [ (7+4) X (32/4) ]

# Exponents

A special & repeated multiplication

Base (bottom)   controlled by   Exponent (top)

40 =  1      41 = 4      42 = 16      43 = 64

42 =  4 x 4 = 16        72 =  7 x 7 = 49

Base Exponent  =  Number

# Square Roots

A special & equilvant divisor/quotient

(√  means Square Root) Think Un-Multiply!

√1      √4      √9      √16    √25

√36    √49    √64    √81    √100

√16 = 4   since   4 x 4 = 16

√49 = 7   since   7 x 7 = 49

# Counting and Natural Numbers

Counting Numbers:   1,2,3,4,5,   etc…

Natural Numbers:   1,2,3,4,5,  etc…

Single or Double or Triple Digit Numbers?

Can you think of any other type of numbers?

# Even Numbers:2,4,6,8, etc…

Odd Numbers:      1,3,5,7,  etc

Are Even or Odd ever equal to one or another?

Do Even and Odd have anything in common?

Next number in sequence increases by ____!

Thomas Love                   Malone College                 2006/2008