| Decimals numbers often contain more decimal places than we need in daily
life. For example, a builder may have calculated that 20.37 cubic
metres of concrete is needed to make a driveway, but actually only needs a
figure to the nearest tenth of a cubic metre to make the order.
From the number line, it is clear that 20.37 is closer to 20.4. So,
the amount ordered would be 20.4 cubic metres. The builder has rounded
off the calculated figure to one decimal place. We say that the
amount is rounded upwards since 20.4 is greater than 20.37.
Likewise, a builder may have calculated that 20.34 cubic metres of
concrete is needed to make a driveway, but actually only needs a figure to
the nearest tenth of a cubic metre to make the order.
From the number line, it is clear that 20.34 is closer to 20.3. So,
the amount ordered would be 20.3 cubic metres. The builder has rounded
off the calculated figure to one decimal place. We say that the
amount is rounded downward since 20.3 is less than 20.34.
To round off a decimal:
- Look at the digit to the right of the required decimal place.
- If the digit is less than 5, round down by ignoring the trailing
digits.
- If the digit is 5 or more, round up by increasing the required decimal
place by 1 and remove the trailing digits.
Example 38
Round 8.9463 kilograms to:
a. one decimal place
b. two decimal places
c. three decimal places
d. the nearest gram
Solution:
a. The digit, 4, to the right of the required place is less than
5. So, round down by ignoring the digits after the first decimal
place.
b. The digit, 6, to the right of the required place is more than
5. So, round up by increasing the second decimal place by 1 and
ignoring the trailing digits.
c. The digit, 3, to the right of the required place is less than
5. So, round down by ignoring the fourth decimal place.
The answer needs to be correct to 3 decimal places.
Example 39
Round 7.6178 metres to:
a. one decimal place
b. two decimal places
c. three decimal places
d. the nearest centimetre
e. the nearest millimetre
Solution:
a. The digit, 1, to the right of the required place is less than
5. So, round down by ignoring the digits after the first decimal
place.
b. The digit, 7, to the right of the required place is more than
5. So, round up by increasing the second decimal place by 1 and
ignoring the trailing digits.
c. The digit, 8, to the right of the required place is more than
5. So, round up by increasing the third decimal place by 1 and
ignoring the trailing digit.
So, the answer needs to be correct to 2 decimal places.
So, the answer needs to be correct to 3 decimal places.
Key Terms
rounding off, rounded off, rounded
upwards, rounded downwards |
