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

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

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

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

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

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

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

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.

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

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

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

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

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

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

The expanded form of the number is used to show the place value of each digit 6,823 is 6,000 + 800 + 20 + 3

What is the expanded form of? 973,104 900,000 + 70,000 + 3,000 + 100 + 4

What is this number in expanded form? 7,021,500 7,000,000 + 20,000 + 1,000 + 500

What about decimals? When writing decimals in word form, use the word “and” to represent the decimal point. 5.2 five and two tenths

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

15.27 FIFTEEN AND DECIMALS TWENTY SEVEN HUNDRETHS FIFTEEN AND TWENTY SEVEN HUNDRETHS

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?!

TWENTY SEVEN THOUSANDTHS DECIMALS 30.027 THIRTY AND TWENTY SEVEN THOUSANDTHS THIRTY AND TWENTY SEVEN THOUSANDTHS

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

THREE HUNDRED AND THREE TENTHS DECIMALS 300.3 THREE HUNDRED AND THREE TENTHS THREE HUNDRED AND THREE TENTHS

Let’s work some problems together! 100,000,000+20,000,000+5,000,000+300,000+40,000+5,000+800+70+8 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+500,000+60,000+5,000+400+80+4 987,565,484 987,565,484 Write the following numbers in standard form. 300,000,000 + 30,000,000+ 45,000+50+1= 330,045,051 Write the following numbers in order from greatest to least. 12,879,989 13,989,656 12,789,090 10,878,656 10,878,656 12,789,090 12,879,989 13,989,656

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. 0.236 0.623 0.632 Write the decimal notation. 9 thousandths=.009

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.