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Identify Counting Numbers and Whole Numbers

In the following exercises, determine which of the following numbers are counting numbers whole numbers.

0 , 2 3 , 5 , 8.1 , 125

  1. 0, 5, 125
  2. 0, 5, 125
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0 , 7 10 , 3 , 20.5 , 300

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0 , 4 9 , 3.9 , 50 , 221

  1. 50, 221
  2. 0, 50, 221
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0 , 3 5 , 10 , 303 , 422.6

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Model Whole Numbers

In the following exercises, use place value notation to find the value of the number modeled by the base-10 blocks.

Identify the Place Value of a Digit

In the following exercises, find the place value of the given digits.

579,601

  1. 9
  2. 6
  3. 0
  4. 7
  5. 5
  1. thousands
  2. hundreds
  3. tens
  4. ten thousands
  5. hundred thousands
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398,127

  1. 9
  2. 3
  3. 2
  4. 8
  5. 7
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56,804,379

  1. 8
  2. 6
  3. 4
  4. 7
  5. 0
  1. hundred thousands
  2. millions
  3. thousands
  4. tens
  5. ten thousands
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78,320,465

  1. 8
  2. 4
  3. 2
  4. 6
  5. 7
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Use Place Value to Name Whole Numbers

In the following exercises, name each number in words.

1,078

One thousand, seventy-eight

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364,510

Three hundred sixty-four thousand, five hundred ten

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5,846,103

Five million, eight hundred forty-six thousand, one hundred three

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37,889,005

Thirty seven million, eight hundred eighty-nine thousand, five

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The height of Mount Ranier is 14,410 feet.

Fourteen thousand, four hundred ten

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The height of Mount Adams is 12,276 feet.

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Seventy years is 613,200 hours.

Six hundred thirteen thousand, two hundred

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One year is 525,600 minutes.

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The U.S. Census estimate of the population of Miami-Dade county was 2,617,176 .

Two million, six hundred seventeen thousand, one hundred seventy-six

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The population of Chicago was 2,718,782 .

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There are projected to be 23,867,000 college and university students in the US in five years.

Twenty three million, eight hundred sixty-seven thousand

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About twelve years ago there were 20,665,415 registered automobiles in California.

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The population of China is expected to reach 1,377,583,156 in 2016 .

One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six

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The population of India is estimated at 1,267,401,849 as of July 1 , 2014 .

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Use Place Value to Write Whole Numbers

In the following exercises, write each number as a whole number using digits.

thirty-five thousand, nine hundred seventy-five

35,975

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sixty-one thousand, four hundred fifteen

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eleven million, forty-four thousand, one hundred sixty-seven

11,044,167

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eighteen million, one hundred two thousand, seven hundred eighty-three

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three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen

3,226,512,017

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eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six

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The population of the world was estimated to be seven billion, one hundred seventy-three million people.

7,173,000,000

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The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.

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Lake Tahoe has a capacity of thirty-nine trillion gallons of water.

39,000,000,000,000

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The federal government budget was three trillion, five hundred billion dollars.

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Round Whole Numbers

In the following exercises, round to the indicated place value.

Round to the nearest ten:

  1. 386
  2. 2,931

  1. 390
  2. 2,930
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Round to the nearest ten:

  1. 792
  2. 5,647

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Round to the nearest hundred:

  1. 13,748
  2. 391,794

  1. 13,700
  2. 391,800
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Round to the nearest hundred:

  1. 28,166
  2. 481,628

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Round to the nearest ten:

  1. 1,492
  2. 1,497
  1. 1,490
  2. 1,500
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Round to the nearest thousand:

  1. 2,391
  2. 2,795

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Round to the nearest hundred:

  1. 63,994
  2. 63,949

  1. 64,000
  2. 63,900

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Round to the nearest thousand:

  1. 163,584
  2. 163,246

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Everyday math

Writing a Check Jorge bought a car for $24,493 . He paid for the car with a check. Write the purchase price in words.

Twenty four thousand, four hundred ninety-three dollars

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Writing a Check Marissa’s kitchen remodeling cost $18,549 . She wrote a check to the contractor. Write the amount paid in words.

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Buying a Car Jorge bought a car for $24,493 . Round the price to the nearest:

  1. ten dollars
  2. hundred dollars
  3. thousand dollars
  4. ten-thousand dollars
  1. $24,490
  2. $24,500
  3. $24,000
  4. $20,000
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Remodeling a Kitchen Marissa’s kitchen remodeling cost $18,549 . Round the cost to the nearest:

  1. ten dollars
  2. hundred dollars
  3. thousand dollars
  4. ten-thousand dollars
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Population The population of China was 1,355,692,544 in 2014 . Round the population to the nearest:

  1. billion people
  2. hundred-million people
  3. million people
  1. 1,000,000,000
  2. 1,400,000,000
  3. 1,356,000,000
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Astronomy The average distance between Earth and the sun is 149,597,888 kilometers. Round the distance to the nearest:

  1. hundred-million kilometers
  2. ten-million kilometers
  3. million kilometers
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Writing exercises

In your own words, explain the difference between the counting numbers and the whole numbers.

Answers may vary. The whole numbers are the counting numbers with the inclusion of zero.

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Give an example from your everyday life where it helps to round numbers.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

If most of your checks were...

…confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills youused so that you can continue to use them. What did you do to become confident of your ability to do these things? Bespecific.

…with some help. This must be addressed quickly because topics you do not master become potholes in your road tosuccess. In math, every topic builds upon previous work. It is important to make sure you have a strong foundationbefore you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Isthere a place on campus where math tutors are available? Can your study skills be improved?

…no—I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you willquickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come upwith a plan to get you the help you need.

Questions & Answers

how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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How do i figure this problem out.
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linda Reply
why surface tension is zero at critical temperature
Shanjida
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. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
Chris Reply
Practice Key Terms 7

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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