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Do now: 16 Sept. 2008. Take out your homework! Take out a pencil or pen! Solve: |-4| = Put these numbers in order from least to greatest: -10, -32, 3, -1, 0, 7. Our goal: today we are going to review place values and learn how to write numbers in expanded notation.
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Do now: 16 Sept. 2008 • Take out your homework! • Take out a pencil or pen! • Solve: • |-4| = • Put these numbers in order from least to greatest: -10, -32, 3, -1, 0, 7
Our goal: today we are going to review place values and learn how to write numbers in expanded notation • This is important because: • 1. Understanding place values will appear on the NY State Math exam and Ms. Dass’ final exam in June! • 2. Place values are fundamental to understanding the number system!
PLACE VALUES. . . (fill in!) • See if you can fill in this place values chart to the TRILLIONS PLACE as a class!
Let’s practice identifying place values. . . (fill in!) • Identify the place value of the underlined digit. . . • 1. 5,674 • 2. 178, 352, 555, 000, 033 • 3. 577, 003 • 4. 145, 645, 888, 053
Let’s try reading a number… • Take 15,999,000,099 • Break the number up into mini sections by COMMAS • So . . . | 15| 999 | 000 | 099 m t i h l o l u I s o a n n d • Read each section and the place value of the digit in front of the comma! • You never have to read zeros or the ones place! Zeros are only place holders so when you read a number you don’t say them!
Practice reading numbers . . . • To help you, say only the place value of the colored digits! • 4. 5, 677, 035 • 5. 16,000, 190, 546 • 6. 143, 766, 056, 000, 001
Writing numbers. . . • You write numbers exactly how you read them . . . • So read 57, 653, 062 and write it down: ________________________________________________________________________________________________________________________
Let’s try a few. . . • Express these numbers in written form: • 7. 244, 043: ______________________________________________________________________ • 8. 10, 555, 000, 037: _________________________________________________________________________________________________________
Expanded Notation . . . • Means breaking down a number by its place values, multiplying and adding them. . . • Look at 46, 522: • we write this in expanded notation as: (4x10,000) + (6x1,000) + (5x100) + (2x10) + (2x1) which is the same as . . . 40,000 + 6,000 + 500 + 20 + 2 = 46, 522
Watch me. . . • 14, 354 in expanded notation is . . .
Let’s try a few . . . • Write each number in expanded notation: • 9. 15, 034= • 10. 436, 921= • 11. 144, 888=
Now you try . . . (in class work!) • WRITE EACH NUMBER IN WRITTEN FORM AND EXPANDED NOTATION. • 12. 35, 998 • 13. 143, 002 • 14. 35, 342, 451 • 15. 154, 425, 490 • 16. 1,088 • 17. 77, 892 • 18. 5,000 • 19. 98, 000, 193, 000 • 20. 198, 000, 034