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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.

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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