The Deca Tree

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

The Deca Tree printable sheet

 

In the forest there is a Deca Tree.

A Deca Tree has 10 trunks,

 

Image
The Deca Tree

and on each trunk there are 10 branches,

Image
The Deca Tree

and on each branch there are 10 twigs,

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The Deca Tree

and on each twig there are 10 leaves:

Image
The Deca Tree

One day a woodcutter came along and cut down one trunk from the tree.

Then he cut off one branch from another trunk of the tree.

Then he cut off one twig from another branch.

Finally he pulled one leaf from another twig.

How many leaves were left on the tree then?

How did you work out the solution?

 

Click here for a poster of this problem.