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## 'Arrow Arithmetic 3' printed from http://nrich.maths.org/

This problem follows on from

Arrow Arithmetic 2 .

Things start to get interesting when we try to multiply twizzles
together. In the following animation, the grey twizzle is the
product of the blue and green twizzles. You can try several
multiplications by unlocking the green and blue twizzles and
changing their values.

How can you construct the grey twizzle by transforming the green
and blue twizzles?

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If you switch the unit arrow and the number arrow in a twizzle, how
does its value change?

In the following animation, the grey twizzle is the blue twizzle
divided by the green twizzle. How could you construct a quotient
twizzle like this grey one with the right value?

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