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Some little questions about big ideas How can we begin to imagine measurements smaller than we can see? What units of measure are used that are smaller than millimetres? What issues might scientists have when working at very small scales? Smaller and smaller • Take a single piece of graph paper and cut out two 4cm x 4cm squares • Cut one of the 4cm x 4cm exactly squares in half • Take one of the 4cm x 2cm rectangles and cut it exactly in half How many times do you think you could cut could cut a “half” in half? Little results Number of cuts 0 1 2 3 4 5 6 7 Thickness in centimetres More questions • Could you continue cutting your “halves” in half seven times or more? • What issues did you have? • How useful is a value less than 0.5? • What is the first measurement smaller than a millimetre? • How do we convert units? Units and conversion • a millimetre is a thousandth of a metre • a micrometre is a millionth of a metre (a thousandth of a millimetre) • a nanometre is a billionth of a metre (a thousandth of a micrometre) Units and conversion The 6th cut in the paper halving activity would have a width of 0.0625 cm. 0.0625 cm x 10 = 0.625 mm 0.625 mm x 1000 = 625 µm 625µm x 1000 = 625 000 nm Extended results • Thinking about the “halving” the half activity, complete the following table. Number of cuts 7 8 9 10 Width in cm 0.03125 Width in mm Width in µm Width in nm More questions How many “halving cuts” would it take to get the strip of paper to be as thin as a stand of hair? How many “halving cuts” would it take to get the strip of paper to be 10nm thick? What issues can you now consider when working at the nanoscale?