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1-1-3 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Place Value The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are called digits. The Hindu-Arabic or decimal number system is a system that uses the digits to represent numbers. The natural or counting numbers are any of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, … The whole numbers include zero together with the natural numbers.

1-1-4 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Place Value Chart The position of a digit in a whole number tells us the value of that digit.  The place value chart breaks up a whole number into periods: ones, thousands, millions, billions, trillions, …  Each period contains three places.

1-1-6 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Standard Notation and Word Form A representation for a number in which each period is separated by a comma is called standard notation or standard form. It is sometimes necessary to write a number in word form.

1-1-7 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Write each number in standard notation and word form. a.548,369 b.5128 c.39,751,866 five hundred forty-eight thousand, three hundred sixty-nine five thousand, one hundred twenty-eight thirty-nine million, seven hundred fifty-one thousand, eight hundred sixty-six

1-1-8 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Expanded Notation Expanded notation or expanded form is a representation of a number as a sum of its ones place, tens place, hundreds place, and so on, beginning with the highest place value.

1-1-9 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example: Write each number in expanded notation. a.912 b.56,203 c.457,164 900 + 10 + 2 or 9 hundreds + 1 ten + 2 ones 50,000 + 6000 + 200 + 3 or 5 ten thousands + 6 thousands + 2 hundreds + 3 ones 400,000 + 50,000 + 7000 + 100 + 60 + 4 or 4 hundred thousands + 5 ten thousands + 7 thousands + 1 hundred + 6 tens + 4 ones

1-1-11 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Round each number to the specified place value. a.514,633 to the nearest hundred b.47,899 to the nearest ten c.211,566,487 to the nearest hundred thousand d.61,523,469 to the leftmost place value