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Introduction to place value and whole numbers

Introduction to place value and whole numbers. Prof. Radcliffe dradcli@inverhills.edu. Objectives. Identify whole numbers Give the value of each digit in a number Write a number in expanded form Write a number in words Write a number with digits instead of words Visualize large numbers.

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Introduction to place value and whole numbers

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  1. Introduction to place value and whole numbers Prof. Radcliffe dradcli@inverhills.edu

  2. Objectives • Identify whole numbers • Give the value of each digit in a number • Write a number in expanded form • Write a number in words • Write a number with digits instead of words • Visualize large numbers

  3. What is a whole number? • The whole numbers (or counting numbers) are 0, 1, 2, 3, 4, etc. • They do not include negative numbers or fractions. • Our number system is based on the number 10(decimal). • We write all numbers using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. • The positions of the digits in a number determine the values of the digits. This is called place value.

  4. Place Value • The first digit on the right is in the ones column. • The next digit to the left of the ones column is in the tens column. • Each time we move to the left, the columns get 10 times bigger.

  5. Example: Place Value • Find the value of each digit in the number 6,081,459. • 6,081,459 = 6,000,000 + 80,000 + 1,000 + 400 + 50 + 9 • This is called expanded form.

  6. Naming Large Numbers One hundred twenty-three trillion,four hundred fifty-six billion,seven hundred eighty-nine million,twelve thousand,three hundred forty-five.

  7. One thousand = 1,000 = 103 This cube contains 1,000 magnetic spheres (10 x 10 x 10 = 1,000). A typical adult horse weighs about 1,000 pounds. http://magneticles.com http://flic.kr/p/6RNCmk

  8. One million = 1,000,000 = 106 • One million is one thousand thousands. • This clear lucite case holds one million pennies. • The maximum takeoff weight of an Airbus A380 is about one million pounds. http://www.kmoser.com/onemillionpennies/ http://en.wikipedia.org/wiki/File:A380_Emirates_A6-EDC.jpg

  9. One billion = 1,000,000,000 = 109 • One billion is one thousand millions. • The Golden Gate Bridge weighs about two billion pounds. http://en.wikipedia.org/wiki/File:GoldenGateBridge-001.jpg

  10. One trillion = 1,000,000,000,000 = 1012 • One trillion is one thousand billions. • The distance to the nearest star (except the Sun) is about 25 trillion miles. • The total weight of all humans is about half a trillion pounds. http://upload.wikimedia.org/wikipedia/commons/a/ac/Proxima_Centauri_2MASS_Atlas.jpg http://www.theenvironmentalblog.org

  11. Which of these are whole numbers? • 27 • –14 • 0 • 3.6 • 1,000,000,001 • 2/5 Answer: a, c, e

  12. Find the value of each digit in the number 987,654,321.

  13. Write the number 987,654,321 in words Nine hundred eighty-seven million, six hundred fifty-four thousand, three hundred twenty-one.

  14. Write the number 6,000,450,000,000 in words. Six trillion, four hundred fifty million.

  15. Write the number 40,319 in expanded form. 40,000 + 300 + 10 + 9

  16. Write the number using digits: Seventeen billion, two hundred eleven million. 17,211,000,000

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