Whole Number Concepts –
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 NumbersGiven: Underlined Numeral select Place Value Name. Ones Tens Hundreds Thousands TenThousands HundredThousands Circle correct Place Value Name: 38,294,019 |
Reading Whole NumbersGiven: Symbolic Whole Number read in Words. 4, 235 = Four Thousand two hundred thirty five 768 = Seven Hundred sixty eight |
Writing Whole NumbersGiven: LinguisticWhole Number write
in Symbols Two Thousand three hundred six = 2306 Nine Hundred eight
seven = 987 |
Addition of Whole NumbersLine 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 NumbersSubtraction 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 NumbersMultiplication 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
13104 Check Answer |
Division of Whole NumbersDivision is repeated subtraction of two numbers 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 |
Thomas Love Malone College 2006/2008
Rounding Off Whole NumbersGiven: 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 Solving1. 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. Y = 2X + 4 If X=3 then Y = __ |
Order of Operations1. Inclusion Symbols: [ ] { } ( ) 2. Exponents & Sq Roots 3. Multiply & Divide 4. Addition & Subtraction Simplify Complex arrangements of Whole Numbers 92 – [ (7+4) X (32/4) ] Simplied result (answer) = 4 |
ExponentsA 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 RootsA 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 NumbersCounting
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? Whole Numbers? Prime and Composite? |
Even and Odd NumbersEven 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