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Prof. Radcliffe dradcli@inverhills.edu INTRODUCTION TO PLACE VALUE AND WHOLE NUMBERS

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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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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.

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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. Millions Column Hundred Thousands Column Ten Thousands Column Thousands Column Hundreds Column Tens Column Ones Column 1,000,000100,00010,0001,000100101

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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. DigitValueWords 66,000,000Six million 00Zero 880,000Eighty thousand 11,000One thousand 4400Four hundred 550Fifty 99Nine

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Naming Large Numbers One hundred twenty-three trillion, four hundred fifty-six billion, seven hundred eighty-nine million, twelve thousand, three hundred forty-five. TrillionsBillionsMillionsThousandsOnes HundredsTensOnesHundredsTensOnesHundredsTensOnesHundredsTensOnesHundredsTensOnes 123,456,789,012,345

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One thousand = 1,000 = 10 3 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

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One million = 1,000,000 = 10 6 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

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One billion = 1,000,000,000 = 10 9 One billion is one thousand millions. The Golden Gate Bridge weighs about two billion pounds. http://en.wikipedia.org/wiki/File:GoldenGateBridge-001.jpg

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One trillion = 1,000,000,000,000 = 10 12 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

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Which of these are whole numbers? a)27 b)–14 c)0 d)3.6 e)1,000,000,001 f)2/5 Answer: a, c, e

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Find the value of each digit in the number 987,654,321. DigitValueWords 9900,000,000Nine hundred million 880,000,000Eighty million 77,000,000Seven million 6600,000Six hundred thousand 550,000Fifty thousand 44,000Four thousand 3300Three hundred 220Twenty 11One

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

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

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

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

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