today we will manipulate very large and very small 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

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

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

690,492Th

ousa

nds

One

sPeriods 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

Ten s

Hund

r eds

One s

Ten s

Hund

r ed s

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

4,268Four thousand,

two hundred sixty-eight

Write this number

305,108Three hundred five thousand,

one hundred eight

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

305,108Three hundred five thousand,

one hundred eight

What is the standard form of thisnumber?

63,490Sixty-three thousand, four hundred

ninety.

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

1 5 . 7 9 8

TENSONESTENTHSHUNDREDTHS

THOUSANDTHS

FIFTEEN

15.27

AND 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?!

THIRTY

30.027

ANDTWENTY SEVEN THOUSANDTHS

THIRTY AND TWENTY SEVEN THOUSANDTHS

SEVEN HUNDRED FIFTY SIX

756.339

AND

THREE HUNDRED THIRTY NINE THOUSANDTHS

SEVEN HUNDRED FIFTY SIX AND THREE HUNDRED THIRTY NINE THOUSANDTHS

THREE HUNDRED

300.3

ANDTHREE 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

900,000,000+80,000,000+7,000,000+500,000+60,000+5,000+400

+80+4

One hundred twenty five million, three hundred forty five thousand, eight

hundred seventy eight.Nine hundred eighty seven million, five hundred sixty five

thousand, four hundred eight four.

125,345,878

987,565,484

125,345,878

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 10,878,65610,878,656 12,789,090 12,879,989 13,989,656

Let’s work some more problems together!

Write the following numbers in order from greatest to least.

0.236 0.623 0.632

Write the decimal notation.9 thousandths=.009

five and twenty three thousandths

eighty seven and nine hundred

sixty five thousandths

5.023 5.023

87.965 87.965

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.