Presentation on theme: "Introduction to place value and whole numbers"— Presentation transcript:
1Introduction to place value and whole numbers Prof. Radcliffe
2Objectives Identify whole numbers Give the value of each digit in a numberWrite a number in expanded formWrite a number in wordsWrite a number with digits instead of wordsVisualize large numbers
3What 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.
4Hundred Thousands Column Place ValueMillions ColumnHundred Thousands ColumnTen Thousands ColumnThousands ColumnHundreds ColumnTens ColumnOnes Column1,000,000100,00010,0001,000100101The 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.
5Example: Place ValueFind the value of each digit in the number 6,081,459.6,081,459 = 6,000, , ,This is called expanded form.DigitValueWords66,000,000Six millionZero880,000Eighty thousand11,000One thousand4400Four hundred550Fifty9Nine
6Naming Large NumbersOne hundred twenty-three trillion, four hundred fifty-six billion, seven hundred eighty-nine million, twelve thousand, three hundred forty-five.TrillionsBillionsMillionsThousandsOnesHundredsTens123,456,789,2,3
7One thousand = 1,000 = 103This cube contains 1,000 magnetic spheres (10 x 10 x 10 = 1,000). A typical adult horse weighs about 1,000 pounds.Image Source:
8One 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.
9One billion = 1,000,000,000 = 109One billion is one thousand millions.The Golden Gate Bridge weighs about two billion pounds.
10One trillion = 1,000,000,000,000 = 1012One 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.
11Which of these are whole numbers? 27–143.61,000,000,0012/5Answer: a, c, e
12Find the value of each digit in the number 987,654,321. Words9900,000,000Nine hundred million880,000,000Eighty million77,000,000Seven million6600,000Six hundred thousand550,000Fifty thousand44,000Four thousand3300Three hundred220Twenty1One
13Write the number 987,654,321 in words Nine hundred eighty-seven million, six hundred fifty-four thousand, three hundred twenty-one.
14Write the number 6,000,450,000,000 in words. Six trillion, four hundred fifty million.