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

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 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 value of each digit.

100,000 + 20,000 + 3,000 + 700 + 9 = 123, 709

ReviewNumbers are divided into periods

690,492

Tho

usan

ds

One

sO

nes

Periods are separated by Periods are separated by commas.commas.

Remember that each period hasthree place values within the period

6 9 0, 4 9 2

Thousands Ones

Ones

Tens

Hundre

ds

Ones

Tens

Hundre

ds

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

these words:onetwo

threefourfivesix

seven

eightnineten

twentythirty

fortyfiftysixty

seventyeightyninety

hundredthousand

eleventwelve

thirteenfourteen

fifteensixteen

seventeeneighteennineteen

million

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,Six hundred and ninety-thousand,

and four hundred and ninety-two.and four hundred and ninety-two.

How to write large numbers in word form

690,492

Thousand Ones

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

Write this number

4,268

Four thousand, two hundred sixty-eight

Write this number

305,108

Three hundred five thousand, one hundred eight

Standard form is a numberwritten with one digit for each place value

305,108

Three hundred five thousand, one hundred eight

What is the standard form of thisnumber?

63,490

Sixty-three thousand, four hundredninety.

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

6,000 + 800 + 20 + 3

The expanded form of

is

What is the expanded form of?

973,104

900,000 + 70,000 + 3,000 + 100 + 4

What is this number in expandedform?

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

Copyright © 2000 by Monica Yuskaitis

1 5 . 7 9 8

TENS

ON

ESTEN

THS

HU

ND

RED

THS

THO

USA

ND

THS

FIFTEEN

15.27

AND

TWENTY SEVEN HUNDRETHS

FIFTEEN AND TWENTY SEVEN HUNDRETHS

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!

Copyright © 2000 by Monica Yuskaitis

THIRTY

30.027

AND

TWENTY SEVEN THOUSANDTHS

THIRTY AND TWENTY SEVEN THOUSANDTHS

Copyright © 2000 by Monica Yuskaitis

Copyright © 2000 by Monica Yuskaitis

SEVEN HUNDRED FIFTY SIX

756.339

AND

THREE HUNDRED THIRTY NINE THOUSANDTHS

SEVEN HUNDRED FIFTY SIX AND THREE HUNDRED THIRTY NINE THOUSANDTHS

Copyright © 2000 by Monica Yuskaitis

Copyright © 2000 by Monica Yuskaitis

THREE HUNDRED

300.3

ANDTHREE TENTHS

THREE HUNDRED AND THREE TENTHS

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.