Chapter 1 Topics include: Intro to Whole Numbers Rounding Whole Numbers Adding and Subtracting Multiplying Dividing Order of Operations

Intro to Whole Numbers Place Value 1,234,678

Rounding Whole Numbers Round 85,291 to the nearest hundred. Identify the place digit Look at the digit to the right (circle) Is the circled value 5 or greater? If yes, round your place digit up 1 and replace the rest of number with 0’s If no, leave the place digit alone and replace the rest of numbers with 0’s 85,291 YES 85,300

Let try some examples: Round the following numbers to the nearest ten. 5,321 481 501 1,499

Round the following numbers to the nearest ten. 5,321 481 501 1,499 Let try some examples: Round the following numbers to the nearest ten. 5,321 481 501 1,499 5,321 5,320 481 480 501 500 1,499 1,500

Try these: Round each factor to its largest place value and multiply. 632 x 750 600 x 800 = 480000 482 x 321 500 x 300 = 150000

Adding Steps Line up numbers Add each column Example: Add 132 + 457 + 193 132 457 +193 1 1 7 8 2

Subtracting Steps Line up numbers Subtract each column Example: Subtract 98-32 98 -32 66

Remember Borrowing?? Example: Subtract 310-150 310 Borrowing 310 -150 -150 2 1 1 6

Multiplying Single Digits Steps Multiply each digit in the top number Example: 326 X 5 ** If multiplying is hard for you make yourself some flashcards to use for practice. 1 3 1 6 3

Multiplying by a Two or More Digit Number Steps Find the first partial product Find the second partial product. Continue until digits are used up.

Example 1: Multiply 125 x 42 125 X 42 250 +5000 (Don’t forgot to use a zero) 5250

Example 2: Multiply 237 x 122 237 X 122 474 4740 +23700 28914

Dividing Steps Set up your division bar Find the first partial dividend Divide Multiply Subtract Bring down the next digit Repeat process until entire number used DMSB

Example: Divide 1256 by 3 3 1256

4 1 8 1256 -12 05 - 3 26 -24 2 Answer: 418 R2

Order of Operations PEMDAS (please excuse my dear aunt sally) P for parenthesis E for exponent MD or DM for multiplication and division AS or SA for addition and subtraction Left to right Left to right Left to right Left to right Left to right

Examples of evaluating expressions What is first? 9 + 5 – 4 x 2 What is next? 3x3 = 9 9 + 5 - 8 What is next? 14 - 8 What is next? 6

Left to right 5 + 12 2 – 4 + 3 x 6 5 + 6 – 4 + 18 11 – 4 + 18 7 + 18 25 Left to right

Exponents The exponent is a raised number that is an abbreviation for how many factors there are of the base number: base 5 The base is the number that is multiplied 5x5x5x5 is the expanded form 54 is exponent form 4 is the exponent

Exponential form and evaluation 15 x 15 x 15 7x7x7x7x7x7 2x2x2x2x2x2x2 33 25 18 = 70 =

Exponential form and evaluation 15 x 15 x 15 153 7x7x7x7x7x7 76 2x2x2x2x2x2x2 27 33 = 3 x 3 x 3 9 x 3 = 27 25 = 2x2x2x2x2 =4x4x2 = 32 18 = 1 70 = 1

Practice Problems Add 325 + 513 + 111 Subtract 1532 – 471 949 Round to nearest hundred 187,555 Add 325 + 513 + 111 Subtract 1532 – 471 Multiply 652 x 61 Divide 789 by 21 187,600 949 1061 39,772 37 R12