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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.
$0,\frac{7}{10},3,20.5,300$
$0,\frac{3}{5},10,303,422.6$
Model Whole Numbers
In the following exercises, use place value notation to find the value of the number modeled by the $\text{base-10}$ blocks.
Identify the Place Value of a Digit
In the following exercises, find the place value of the given digits.
$\mathrm{579,601}$
$\mathrm{398,127}$
$\mathrm{56,804,379}$
$\mathrm{78,320,465}$
Use Place Value to Name Whole Numbers
In the following exercises, name each number in words.
$\mathrm{5,902}$
$\mathrm{364,510}$
Three hundred sixty-four thousand, five hundred ten
$\mathrm{146,023}$
$\mathrm{5,846,103}$
Five million, eight hundred forty-six thousand, one hundred three
$\mathrm{1,458,398}$
$\mathrm{37,889,005}$
Thirty seven million, eight hundred eighty-nine thousand, five
$\mathrm{62,008,465}$
The height of Mount Ranier is $\mathrm{14,410}$ feet.
Fourteen thousand, four hundred ten
The height of Mount Adams is $\mathrm{12,276}$ feet.
Seventy years is $\mathrm{613,200}$ hours.
Six hundred thirteen thousand, two hundred
One year is $\mathrm{525,600}$ minutes.
The U.S. Census estimate of the population of Miami-Dade county was $\mathrm{2,617,176}.$
Two million, six hundred seventeen thousand, one hundred seventy-six
The population of Chicago was $\mathrm{2,718,782}.$
There are projected to be $\mathrm{23,867,000}$ college and university students in the US in five years.
Twenty three million, eight hundred sixty-seven thousand
About twelve years ago there were $\mathrm{20,665,415}$ registered automobiles in California.
The population of China is expected to reach $\mathrm{1,377,583,156}$ in $2016.$
One billion, three hundred seventy-seven million, five hundred eighty-three thousand, one hundred fifty-six
The population of India is estimated at $\mathrm{1,267,401,849}$ as of July $1,2014.$
Use Place Value to Write Whole Numbers
In the following exercises, write each number as a whole number using digits.
two hundred fifty-three
sixty-one thousand, four hundred fifteen
eleven million, forty-four thousand, one hundred sixty-seven
11,044,167
eighteen million, one hundred two thousand, seven hundred eighty-three
three billion, two hundred twenty-six million, five hundred twelve thousand, seventeen
3,226,512,017
eleven billion, four hundred seventy-one million, thirty-six thousand, one hundred six
The population of the world was estimated to be seven billion, one hundred seventy-three million people.
7,173,000,000
The age of the solar system is estimated to be four billion, five hundred sixty-eight million years.
Lake Tahoe has a capacity of thirty-nine trillion gallons of water.
39,000,000,000,000
The federal government budget was three trillion, five hundred billion dollars.
Round Whole Numbers
In the following exercises, round to the indicated place value.
Round to the nearest ten:
Round to the nearest ten:
Round to the nearest hundred:
Round to the nearest hundred:
Round to the nearest ten:
Round to the nearest thousand:
Round to the nearest hundred:
Round to the nearest thousand:
Writing a Check Jorge bought a car for $\text{\$24,493}.$ He paid for the car with a check. Write the purchase price in words.
Twenty four thousand, four hundred ninety-three dollars
Writing a Check Marissa’s kitchen remodeling cost $\text{\$18,549}.$ She wrote a check to the contractor. Write the amount paid in words.
Buying a Car Jorge bought a car for $\text{\$24,493}.$ Round the price to the nearest:
Remodeling a Kitchen Marissa’s kitchen remodeling cost $\text{\$18,549}.$ Round the cost to the nearest:
Population The population of China was $\mathrm{1,355,692,544}$ in $2014.$ Round the population to the nearest:
Astronomy The average distance between Earth and the sun is $\mathrm{149,597,888}$ kilometers. Round the distance to the nearest:
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.
Give an example from your everyday life where it helps to round numbers.
ⓐ 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.
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