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                                                                                              MATH IN THE REAL WORLD




                                                 How did people count things before there were

                                                 numbers? Before there were numbers, when people
                                                 wanted to count something they put other objects
              What Did                           together to keep track of how many things there were.


              We Use to                          At first they used their fingers, and then they started
                                                 to use objects that were easy to find like sticks and
              Count Things?                      stones. But it started to get harder and harder to count

                                                 lots of things, so people started to write down how
                                                 many there were and that’s where numbers came from.

                                                 There are signs that people in the Inca Empire in South

                                                 America counted things by tying knots in differently
                                                 colored strings, and people in Europe and Africa made
                                                 marks on animal bones.


                                                 Think about how we would count things today if we
                                                 didn’t have numbers.



















                                                      ▲ Animal bones with marks       ▲ Showing numbers
                                                           carved into them                by tying knots in a string



























                                                                                              04 The Duck Boat and the Turtle Boat  69
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