3.06 Rounding decimals
Is 11.34 closer to 11 or 12?
Is 38.892 closer to 38 or 39?
State whether the following lie on the interval between 7 and 8.
Consider the number 6.186.
Which of the following pair of consecutive whole numbers does 6.186 lies in between?
Based on your answer in part (a), which number is 6.186 closer to?
Consider the number 24.72.
Which of the following pair of consecutive whole numbers does 24.72 lies in between?
Based on your answer in part (a), which number is 24.72 closer to?
Round the following to the nearest whole number:
Round the following to the nearest tenth:
Round the following to the nearest hundredth:
Round the following to one decimal place:
Round the following to two decimal places:
Round the following to three decimal places:
Round the following to four decimal places:
The fraction \dfrac{1}{9} can also be written as 1 \div 9.
The quotient is 0.111 \ldots which we read as "zero point one recurring".
0.111 \ldots can be written as 0.\overline{1}.
Complete the table for the following recurring decimals:
| Fraction | Recurring decimal | Rounded to two decimal places |
|---|---|---|
| \dfrac{1}{9} | 0.\overline{1} | 0.11 |
| \dfrac{2}{9} | 0.\overline{2} | |
| \dfrac{3}{9} | ||
| \dfrac{4}{9} | 0.\overline{4} | |
| \dfrac{5}{9} | 0.\overline{5} | |
| \dfrac{6}{9} | 0.\overline{6} | |
| \dfrac{7}{9} | 0.\overline{7} | |
| \dfrac{8}{9} | 0.89 | |
| \dfrac{9}{9} | 1 | 1.00 |
The fraction \dfrac{1}{7} can also be written as 1 \div 7.
The quotient is 0.142\,857\,142\,857 \ldots when written as a decimal, which can be written as 0.\overline{142\,857}.
Complete the table for the following recurring decimals:
| Fraction | Recurring decimal | Rounded to four decimal places |
|---|---|---|
| \dfrac{1}{7} | 0.\overline{142\,857} | 0.1429 |
| \dfrac{2}{7} | 0.\overline{285\,714} | |
| \dfrac{3}{7} | ||
| \dfrac{4}{7} | 0.\overline{571\,428} | |
| \dfrac{5}{7} | 0.\overline{714\,285} | |
| \dfrac{6}{7} | 0.\overline{857\,142} | |
| \dfrac{7}{7} | 1 | 1.0000 |
Round the following recurring decimals to one decimal place:
Round the following recurring decimals to two decimal places: