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                                                                                                                      Using Negatives                                        People who


         NEGATIVE NUMBERS                                                                                             Today, negative numbers are used                 have a bank account                100ºC
                                                                                                                      for everyday activities, such as in
                                                                                                                                                                          with a negative
                                                                                                                      banking. Most countries measure                  value are said to be
                                                                                                                      temperatures in Celsius as the freezing              overdrawn.
         Any number above zero is a positive                                                                          point of water is 0 degrees Celsius.                                                50ºC

         number, but any number below zero
         is a negative. Negative numbers have

         been around for a long time.                                                                                            Zero degrees Celsius is the temperature
                                                                                                                     0 C         at which water freezes. Temperatures                                    0ºC
                                                                                                                        o

         Negative History                                                                                             (32ºF)     below this (in Celsius) have a negative value.


         The Chinese were using negative                                                                                                The average                                                     -50ºC
                                                                                                                               o
         numbers in their mathematics as                                                                              -55 C             temperature on Mars.
         long ago as 200 bce. Eight hundred                                                                               (-67ºF)

         years later, the Indian mathematician                                                                                                                                                         -100ºC
         Brahmagupta created mathematical                                                                                     o        The lowest recorded temperature

         rules for using negative numbers.                                                                        -89.2 C              on Earth, Vostok Station, Antarctica.
         The Arab world continued to develop                                                                          (-128.6ºF)                                                                       -150ºC

         the idea of negative numbers, but the                     In the 1600s, the English
         concept did not reach Europe until                        mathematician John Wallis

                                                                                                                                    o
         the 1400s.                                                created a number line that                           -273 C               The lowest possible temperature,
                                                                   included negative numbers.                                                                                                         -200ºC
                                                                                                                            (-459.7ºF)       known as absolute zero.



                                                                                                                                                                                                     -250ºC
                                                                                                                    Thinking in Lines


                   -5     -4      -3     -2     -1     0      1       2      3      4      5                        Any number above zero is a positive number. On the
                                                                                                                    number line, they are counted up from left to right

                                   NEGATIVE                  POSITIVE                                               from zero. Negative numbers have a “-” in front of
                                   NUMBERS                   NUMBERS                                                them and they are counted to the left from zero.





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