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Round 9,614,018,007 to the nearest ten million.

  1. We are rounding to the nearest ten million.
    9,614,018,007, with the first 1 labeled, ten millions position.
  2. Observe the digit immediately to the right of the ten millions position. It is 4. Since 4 is less than 5, we round down by replacing 4 and all the digits to its right with zeros.
    9,610,000,000

Thus, 9,614,018,007 rounded to the nearest ten million is 9,610,000,000.

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Round 148,422 to the nearest million.

  1. Since we are rounding to the nearest million, we'll have to imagine a digit in the millions position. We'll write 148,422 as 0,148,422.
    0,148,422, with the 0 labeled, millions position.
  2. The digit immediately to the right is 1. Since 1 is less than 5, we'll round down by replacing it and all the digits to its right with zeros.
    0,000,000
    This number is 0.

Thus, 148,422 rounded to the nearest million is 0.

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Round 397,000 to the nearest ten thousand.

  1. We are rounding to the nearest ten thousand.
    397,000, with the 9 labeled, ten thousand position.
  2. The digit immediately to the right of the ten thousand position is 7. Since 7 is greater than 5, we round up by replacing 7 and all the digits to its right with zeros and adding 1 to the digit in the ten thousands position. But 9 + 1 = 10 and we must carry the 1 to the next (the hundred thousands) position.
    400,000

Thus, 397,000 rounded to the nearest ten thousand is 400,000.

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Practice set a

Use the method of rounding whole numbers to solve each problem.

Round 3387 to the nearest hundred.

3400

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Round 26,515 to the nearest thousand.

27,000

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Round 30,852,900 to the nearest million.

31,000,000

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Round 39 to the nearest hundred.

0

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Round 59,600 to the nearest thousand.

60,000

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Exercises

For the following problems, complete the table by rounding each number to the indicated positions.

1,642

hundred thousand ten thousand million
hundred thousand ten thousand million
1,600 2000 0 0
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5,221

hundred thousand ten thousand million
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91,803

Hundred thousand ten thousand million
Hundred thousand ten thousand million
91,800 92,000 90,000 0
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106,007

hundred thousand ten thousand million
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208

hundred thousand ten thousand million
hundred thousand ten thousand million
200 0 0 0
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199

hundred thousand ten thousand million
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863

hundred thousand ten thousand million
hundred thousand ten thousand million
900 1,000 0 0
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794

hundred thousand ten thousand million
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925

hundred thousand ten thousand million
hundred thousand ten thousand million
900 1,000 0 0
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909

hundred thousand ten thousand million
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981

hundred thousand ten thousand million
hundred thousand ten thousand million
1,000 1,000 0 0
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965

hundred thousand ten thousand million
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551,061,285

hundred thousand ten thousand million
hundred thousand ten thousand million
551,061,300 551,061,000 551,060,000 551,000,000
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23,047,991,521

hundred thousand ten thousand million
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106,999,413,206

Hundred thousand ten thousand million
hundred thousand ten thousand million
106,999,413,200 106,999,413,000 106,999,410,000 106,999,000,000
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5,000,000

hundred thousand ten thousand million
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8,006,001

hundred thousand ten thousand million
Hundred Thousand ten thousand Million
8,006,000 8,006,000 8,010,000 8,000,000
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94,312

hundred thousand ten thousand million
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33,486

hundred thousand ten thousand million
hundred thousand ten thousand million
33,500 33,000 30,000 0
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560,669

hundred thousand ten thousand million
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388,551

hundred thousand ten thousand million
hundred thousand ten thousand million
388,600 389,000 390,000 0
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4,752

hundred thousand ten thousand million
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8,209

hundred thousand ten thousand million
hundred thousand ten thousand million
8,200 8,000 10,000 0
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In 1950, there were 5,796 cases of diphtheria reported in the United States. Round to the nearest hundred.

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In 1979, 19,309,000 people in the United States received federal food stamps. Round to the near­est ten thousand.

19,310,000

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In 1980, there were 1,105,000 people between 30 and 34 years old enrolled in school. Round to the nearest million.

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In 1980, there were 29,100,000 reports of aggra­vated assaults in the United States. Round to the nearest million.

29,000,000

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For the following problems, round the numbers to the posi­tion you think is most reasonable for the situation.

In 1980, for a city of one million or more, the average annual salary of police and firefighters was $16,096.

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The average percentage of possible sunshine in San Francisco, California, in June is 73%.

70% or 75%

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In 1980, in the state of Connecticut, $3,777,000,000 in defense contract payroll was awarded.

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In 1980, the federal government paid $5,463,000,000 to Viet Nam veterans and depen­dants.

$5,500,000,000

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In 1980, there were 3,377,000 salespeople em­ployed in the United States.

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In 1948, in New Hampshire, 231,000 popular votes were cast for the president.

230,000

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In 1970, the world production of cigarettes was 2,688,000,000,000.

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In 1979, the total number of motor vehicle regis­trations in Florida was 5,395,000.

5,400,000

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In 1980, there were 1,302,000 registered nurses the United States.

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Exercises for review

( [link] ) There is a term that describes the visual displaying of a number. What is the term?

graphing

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( [link] ) What is the value of 5 in 26,518,206?

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( [link] ) Write 42,109 as you would read it.

Forty-two thousand, one hundred nine

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( [link] ) Write "six hundred twelve" using digits.

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( [link] ) Write "four billion eight" using digits.

4,000,000,008

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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