Whole Number Concepts – Basic College Mathematics for Teachers

Reference: K. Elayn Martin-Gay – Page 1

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
Reading Whole Numbers 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
Addition of Whole Numbers 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 6343 Check Answer	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 – 53 274 Check Answer
Multiplication of Whole Numbers Multiplication is a repeated addition and can only be done with 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 13104 Check Answer	Division of Whole Numbers Division is repeated subtraction and a procedure of many steps. It would be best to view and example as in Basic College Mathematics in Chapter One – Page 90 _39 Check Answer 17 | 504 – 34 164 – 153 R = 11

Whole Number Concepts – Basic College Mathematics for Teachers

K. Elayn Martin-Gay – Page 2

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 )	Comparison and/or Ranking Whole Numbers ( < = > ) Given: Two Numbers arrange with correct symbol. 35 < 78 42 = 42 69 > 24 Less than Equal Greater than Arrange: Hi to Lo or 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 Simple A,S,M,D problems: Whole Numbers A number is 4 more than twice another number. Y = 2X + 4 If X=3 then Y = __	Order of Operations 1. Inclusions: [ ] { } ( ) 2. Exponents & Sq Roots 3. Multiply & Divide 4. Addition & Subtraction Simplify Complex arrangements of Whole Numbers 9^2– [ (7+4) X (32/4) ] Simplied result (answer) = 4
Exponents A special & repeated multiplication Base Number controlled by Exponent. 4^0 = 1 4^1 = 4 4^2 = 16 4^3 = 64 4^2 = 4 x 4 = 16 7^2 = 7 x 7 = 49 Base ^Exponent = Number	Square Roots A special & equilvant divisor/quotient ( √ means Square Root ) √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? How about Prime and Composite?	Even and Odd 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? The next number increases by two!