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. Standard form – A number written with one digit for each place value

3. Word form – A number written in words.
One hundred twenty-three thousand,
seven hundred eighty-nine

4. Expanded form – A way to write numbers that shows the place value of each digit.
100, , , = 123, 709

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

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

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

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

9. How to write large numbers in word form
Write the numbers as you would read them:
1st Start with the period farthest to the left and write it in word form.
2nd 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
Thousand
Ones
690,492

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

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

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

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

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

15. The expanded form of the number is used to show the place value of each digit
6,823 is 6,

16. What is the expanded form of?
973,104
900, , ,000

17. What is this number in expanded form?
7,021,500
7,000, ,000 + 1,

18. What about decimals? When writing decimals in word form, use the word “and” to represent the decimal point five and two tenths

19. DECIMALS
TENS
ONES
TENTHS
THOUSANDTHS
HUNDREDTHS

20. 15.27 FIFTEEN AND DECIMALS TWENTY SEVEN HUNDRETHS
FIFTEEN AND TWENTY SEVEN HUNDRETHS

21. Manipulating very small and very large
number helps you understand the value of numbers.
Enables you to be able to read
numbers and see how else they can represented.
Can you think of any other reasons?!

22. TWENTY SEVEN THOUSANDTHS
DECIMALS
30.027
THIRTY
AND
TWENTY SEVEN THOUSANDTHS
THIRTY AND TWENTY SEVEN THOUSANDTHS

23. 756.339 DECIMALS SEVEN HUNDRED FIFTY SIX AND
THREE HUNDRED THIRTY NINE THOUSANDTHS
SEVEN HUNDRED FIFTY SIX AND THREE HUNDRED THIRTY NINE THOUSANDTHS

24. THREE HUNDRED AND THREE TENTHS
DECIMALS
300.3
THREE HUNDRED
AND
THREE TENTHS
THREE HUNDRED AND THREE TENTHS

25. Let’s work some problems together!
100,000,000+20,000,000+5,000, ,000+40,000+5,
One hundred twenty five million, three hundred forty five thousand, eight hundred seventy eight.
125,345,878
125,345,878
Nine hundred eighty seven million, five hundred sixty five thousand, four hundred eight four.
900,000,000+80,000,000+7,000, ,000+60,000+5,
987,565,484
987,565,484
Write the following numbers in standard form.
300,000, ,000, , = 330,045,051
Write the following numbers in order from greatest to least.
12,879, ,989, ,789, ,878,656
10,878, ,789, ,879, ,989,656

26. Let’s work some more problems together!
five and twenty three thousandths
5.023
5.023
eighty seven and nine hundred sixty five thousandths
87.965
87.965
Write the following numbers in order from greatest to least.
Write the decimal notation.
9 thousandths=.009

27. 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.