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Chapter 1

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.

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Chapter 1

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

  2. Intro to Whole NumbersPlace Value 1,234,678

  3. 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

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

  5. 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

  6. 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

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

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

  9. Remember Borrowing?? Example: Subtract 310-150 310 Borrowing 310 -150 -150 2 1 1 6 0

  10. 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 0

  11. 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.

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

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

  14. 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

  15. Example: Divide 1256 by 3 3 1256

  16. 4 1 8 • 1256 -12 05 - 3 26 -24 2 Answer: 418 R2

  17. Order of Operations • PEMDAS (pleaseexcusemy 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

  18. Examples of evaluating expressions What is first? 32 + 5 – 4 x 2 What is next? 9 + 5 – 4 x 2 3x3 = 9 What is next? 9 + 5 - 8 What is next? 14 - 8 6

  19. 5 + 12 2 – 4 + 3 x 6 5 + 6 – 4 + 18 11 – 4 + 18 7 + 18 25 Left to right

  20. 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

  21. Exponential form and evaluation

  22. Exponential form and evaluation

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

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