Today we will manipulate very large and very small numbers.
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Transcript of 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.