The document discusses manipulating very large and very small numbers. It defines manipulating as working with numbers with 7 or more digits or numbers in the thousandths or smaller place value. It reviews place value, writing numbers in standard form, word form, and expanded form. It provides examples of writing large numbers, decimals, and fractions in word form. The document emphasizes being able to manipulate different sized numbers helps understand their value and prepares students for standardized tests.

1. Today we will manipulate very large and very small numbers. Manipulate =work with very large numbers – numbers in the millions or higher; have 7 or more digits very small numbers - numbers in the thousandths or smaller; thousandths are fractional parts of 1000

2. Vocabulary Standard form – A number written with one digit for each place value. 123,789 Word form – A number written in words. One hundred twenty-three thousand, seven hundred eighty-nine

3. Vocabulary Expanded form – A way to write numbers that shows the place value of each digit. 100,000 + 20,000 + 3,000 + 700 + 9 = 123, 709

4. Review Numbers are divided into periods 690 , 492 Thousands Ones Periods are separated by commas.

5. Remember that each period has three place values within the period 6 9 0, 4 9 2 Thousands Ones Ones Tens Hundreds Ones Tens Hundreds

6. Before you can learn to write numbers in word form you must know how to spell these words: one two three four five six seven eight nine ten twenty thirty forty fifty sixty seventy eighty ninety hundred thousand eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen million

7. Tip 690,492 Do not use “and” when writing whole numbers. The word “and” will be used when you are reading numbers with decimals. Six hundred and ninety-thousand, and four hundred and ninety-two.

8. How to write large numbers in word form 690 , 492 Thousand Write the numbers as you would read them: 1 st Start with the period farthest to the left and write it in word form. 2 nd Continue with the period to the right and write it in word form. Continue this process till you reach the ones period. Six hundred ninety thousand four hundred ninety two Ones

9. Write this number 4 , 268 Four thousand , two hundred sixty-eight

10. Write this number 305 , 108 Three hundred five thousand , one hundred eight

11. Standard form is a number written with one digit for each place value 305 , 108 Three hundred five thousand , one hundred eight

12. What is the standard form of this number? 63 , 490 Sixty-three thousand , four hundred ninety.

13. What is the standard form of this number? Twenty-two thousand , two hundred 22 , 200

14. The expanded form of the number is used to show the place value of each digit 6 , 8 2 3 6,000 + 800 + 20 + 3 The expanded form of is

15. What is the expanded form of? 9 7 3 , 1 0 4 900,000 + 70,000 + 3,000 + 100 + 4

16. What is this number in expanded form? 7 ,0 2 1 , 500 7,000,000 + 20,000 + 1,000 + 500

17. What about decimals? When writing decimals in word form, use the word “and” to represent the decimal point. 5 . 2 five and two tenths Copyright © 2000 by Monica Yuskaitis

18. 1 5 . 7 9 8 TENS ONES TENTHS HUNDREDTHS THOUSANDTHS DECIMALS

19. FIFTEEN 15 . 27 DECIMALS AND TWENTY SEVEN HUNDRETHS FIFTEEN AND TWENTY SEVEN HUNDRETHS

20. Copyright © 2000 by Monica Yuskaitis Why is important to be able to manipulate very large and very small numbers? Manipulating number helps you understand the value of number. It also helps you on CST’s Can you think of another reason?.. I can’t!

21. Copyright © 2000 by Monica Yuskaitis THIRTY 30 . 0 27 DECIMALS AND TWENTY SEVEN THOUSANDTHS THIRTY AND TWENTY SEVEN THOUSANDTHS

22. Copyright © 2000 by Monica Yuskaitis Copyright © 2000 by Monica Yuskaitis SEVEN HUNDRED FIFTY SIX 756 . 339 DECIMALS AND THREE HUNDRED THIRTY NINE THOUSANDTHS SEVEN HUNDRED FIFTY SIX AND THREE HUNDRED THIRTY NINE THOUSANDTHS

23. Copyright © 2000 by Monica Yuskaitis Copyright © 2000 by Monica Yuskaitis THREE HUNDRED 300 . 3 DECIMALS AND THREE TENTHS THREE HUNDRED AND THREE TENTHS

24. Copyright © 2000 by Monica Yuskaitis Let’s Review! Standard form – A number written with one digit for each place value. Word form – A number written in words. Expanded form – A way to write numbers that shows the place value of each digit. When writing decimals in word form, use the word “and” to represent the decimal point.