Today we will manipulate very large and very

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Today we will manipulate very large and very small numbers. • Manipulate=work with §very

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

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

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

Vocabulary • Expanded form – A way to write numbers that shows the place

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

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

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

Remember that each period has three place values within the period Ones Tens Ones

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

Before you can learn to write numbers in word form you must know how

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

Tip Do not use “and” when writing whole numbers. The word “and” will be

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

How to write large numbers in word form 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 Thousand Ones 690, 492

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

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

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

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

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,

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

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

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

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

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 + 20,

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

What about decimals? When writing decimals in word form, use the word “and” to

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

1 5. 7 9 8 S TH ND SA HS OU DT TH RE

1 5. 7 9 8 S TH ND SA HS OU DT TH RE ND HU HS NT TE ES ON NS TE

15. 27 FIFTEEN AND TWENTY SEVEN HUNDRETHS

15. 27 FIFTEEN AND TWENTY SEVEN HUNDRETHS

Why is important to be able to manipulate very large and very small numbers?

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? . . Copyright © 2000 by Monica Yuskaitis I can’t!

30. 027 THIRTY AND TWENTY SEVEN THOUSANDTHS Copyright © 2000 by Monica Yuskaitis

30. 027 THIRTY AND TWENTY SEVEN THOUSANDTHS Copyright © 2000 by Monica Yuskaitis

756. 339 SEVEN HUNDRED FIFTY SIX AND THREE HUNDRED THIRTY NINE THOUSANDTHS Copyright ©©

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

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

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

Let’s Review! • Standard form – A number written with one digit for each

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. Copyright © 2000 by Monica Yuskaitis