Solution to

Did you have any problems? The information given below may help if you

Frame 3-26.

did.

a. 28.03

a. Round 28.034697 to the nearest hundredth.

b. 28.0347

The digit to be rounded is 3. The digit to the right of the

hundredths is 4, so you leave the 3 unchanged.

c. 28.03470

NOTE: Even though this digit rounded to 5 when you rounded to the

d. 28

thousandths position in the previous problem, you must use the actual

(unrounded) digit when working this problem.

e. 30

b. Round 28.034697 to the nearest ten-thousandth.

f. 000 (or just 0)

The digit to be rounded is 6. The digit to the right is 9. Round

up to 7.

c. Round 28.034697 to the nearest hundred-thousandth.

The digit to be rounded is 9. The digit to the right is 7. Round

up. When you add 1 to 9, you get 10. Write down the zero and

carry the one. 26.03469 + 0.00001 = 26.03470. When writing

the answer, you can include the zero at the end (26.03470) or

drop the zero (26.0347).

d. Round 28.034697 to the nearest whole number.

The digit to be rounded is in the units (ones) position, which is 8.

The digit to the right is 0 (tenths position). Round down.

e. Round 28.034697 to the nearest ten.

The digit to be rounded is in the tens position, which is 2. The

digit to the right is 8 (units position). Round up. The 2 becomes

3, but you cannot just drop the digits as you do when the

number to be rounded is to the right of the decimal. Although

the digits are dropped, the place values to the left of the decimal

must be shown. They are filled with zeroes. Digits to the right

of the decimal are dropped without putting zeroes in their place.

f. Round 28.034697 to the nearest hundred

The digit to be rounded is in the hundreds position, which has no

number now. Change 28.034697 to 028.034697 (adding a zero

to the front does not change the value of the number). The

number to be rounded is now 0. The digit to the right is 2 (tens

position). Round down. The 0 remains zero. Like exercise "e"

above, you put zeroes in place of the digits to the left of the

decimal that are being dropped. The result is "000," which is

usually written as just "0."

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MD0900

3-15

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