Problem

Round each number to the nearest thousand and then to the nearest ten thousand. See Exam...

Round each number to the nearest thousand and then to the nearest ten thousand. See Example 8.

816,492

Example 8

U.S. Cities In 2011, Denver was the nation’s 23rd largest city. Round the 2011 population of Denver shown on the sign to:

a. the nearest hundred thousand

b. the nearest thousand

Strategy In each case, we will identify the rounding digit and the test digit.

Why We need to know the value of the test digit to determine whether we round the population up or down.

Solution

a. The rounding digit in the hundred thousands column is 6. Since the test digit 1 is less than 5, we round down. To the nearest hundred thousand, Denver’s population in 2011 was 600,000.

b. The rounding digit in the thousands column is 9. Since the test digit 9 is 5 or greater, we round up, by writing a 0 in the thousands column and carrying a 1 to the ten thousands column. To the nearest thousand, Denver’s population in 2011 was 620,000.

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