Page 15 - 新思维数学学生用书6 样章
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1   The number system


               1.2  Rounding decimal numbers




             We are going to …


             •  round a number with 2 decimal places to the nearest whole number

             •  round a number with 2 decimal places to the nearest tenth.




           Rounding makes it easier to describe and

           understand numbers. It is easier to                    nearest
           understand that an athlete ran 100 metres              round

           in less than 10 seconds than the athlete

           ran 100 metres in 9.63 seconds.


             Worked example 2


             Round these numbers to the nearest tenth.

             a  8.80       b  6.45      c  3.95


             a  8.8        b  6.5       c  4.0      If the hundredths digit is 0, 1, 2, 3 or 4, round

                                                    down by keeping the tenths digit the same.
                                                    If the hundredths digit is 5, 6, 7, 8 or 9, round up

                                                    by increasing the value of the tenths digit by 1.

                                                    If the tenths digit is 9, it will change to 0 and the
                                                    ones digit will increase by 1.

                                                    There must always be 1 decimal place in the

                                                    answer, even if it is zero.




           Exercise 1.2


           1  Round these decimals to the nearest whole number.

               4.09          7.89          2.55          7.45

           2  Leo bought a book costing $14.65.
               What is the cost of the book to the nearest dollar?




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