Presentation on theme: "1.1 The Decimal Place Value System 1 Place Value A digit is a number 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 that names a place-value location. For large numbers,"— Presentation transcript:
1.1 The Decimal Place Value System 1 Place Value A digit is a number 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 that names a place-value location. For large numbers, digits are separated by commas into groups of three, called periods. Each period has a name: ones, thousands, millions, billions, trillions, and so on. Ones ThousandsMillionsBillions Trillions PLACE-VALUE CHART Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones ThousandsMillionsBillions Trillions PLACE-VALUE CHART Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones billions, 748 millions, 28 thousands, 952 ones Next Slide
1.1 The Decimal Place Value System 2 Example 1. a. 234,598 b. 456,901 c. 24,355,567,222 a. 4 thousands b. 4 hundred thousands c. 4 billions Solution What does the digit 4 mean in each number? When a whole number is written using the digits 0 9 it is said to be in the standard form. The position that each digit occupies determines its place value. Your Turn Problem # , , ,218,021,593 Solution What does the digit 7 mean in each number? 1. 7 ten thousands 2. 7 tens 3. 7 billions Next Slide
1.1 The Decimal Place Value System 3 Writing numbers in expanded notation. Expanded Notation: 34,123 = 3 ten thousands + 4 thousands + 1 hundred + 2 tens + 3 ones = 30,000 +4, This number can be written in what is called expanded form, shown below: Standard Notation: 34,123 Example 2. Write 74,289,416 in expanded notation. Answer: 70,000, ,000, , , , Your Turn Problem #2 Write 5,034,319 in expanded notation. Answer: 5,000, , ,
1.1 The Decimal Place Value System 4 Writing numbers in words. b) 56,789. Notes:1.Commas are used after each period. 2. The word “and ” is only used for numbers which have decimals. 3.Hyphens are used for the numbers except for the multiples of 10. Examples: 23: twenty-three 57: fifty-seven 40: forty (no hyphen is necessary) Example 3. Write a word name for the following. Your Turn Problem #3 b) 3,429,718. a) 9,207 a) Nine thousand, two hundred seven b)Three million, four hundred twenty-nine thousand, seven hundred eighteen Answers a) 123 = one hundred twenty-three = fifty-six thousand, seven hundred eighty-nine b) 56, 789 Answers a) 123. Procedure: When asked to rewrite a number using words: Proceeding left to right, write in words the number in each period, then write its period name (example: trillion, million, etc...), then write a comma, then proceed to the next period, etc... Note: The period on the right (the last period) has no period name.
1.1 The Decimal Place Value System 5 3, 235, 811 Solution: 3,235,811 Example 4a. Three million, two hundred thirty-five thousand, eight hundred eleven Writing numbers with digits instead of words Procedure: When asked to rewrite a written number in words into numbers using digits: Proceeding left to right, for each period (separated by commas) write the number using digits and place commas where they are placed in the written form using word. If a period is not written, write “000”, and continue to the next period. Example 4b. Four billion, twenty million, three hundred forty-eight 4, 20, 000, 348 Solution: 4,020,000,348 Note: 000 is for the thousands period. Your Turn Problem #4 a) One hundred thirty-five thousand, four hundred two b) Four billion, four hundred eight thousand, forty-six b) 4,000,408,046 a) 135,402 Answers The End B.R