Learning the 9x table

The Nine Times Table

The nine times table wall pictured below illustrates the relationship between the tens value and the units value which when added always make a value of nine.

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The following set of nine bricks illustrate how the blocks can be used to build the nine times tables and give visual proof of how the tens number and the units number presented in the answers always add up to nine.
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img46The following set of nine bricks illustrate how the blocks can be used to build the nine times tables and give visual proof of how the tens number and the units number presented in the answers always add up to nine.img48
The finger trick works because of the number pattern constructed by the nine times tables as illustrated in the above 3D presentations. The diagram below represents two hands held out flat. For 1 x 9 the first finger is folded down which leaves the nine fingers left giving the answer of 9. For 2 x 9 the second finger is folded down this leaves one finger (representing one ten) on the left of the folded finger and eight fingers (representing eight units) to the right of the folded finger –which gives the answer 18. For 3 x 9 the third finger is folded down. This leaves two fingers on the left of the folded finger and seven fingers to the right of the folded finger giving the answer two tens and seven units (18 ). This system can be repeated to give each answer in a kinaesthetic finger pattern. The final finger pattern for 10 x 9 is shown by folding the little finger on the right hand which leaves nine upright fingers to the left which each represent one ten and give the answer of 90.
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