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PR-6102UK Investigating Number Patterns 3

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Noticing Nines – 1<br />

1 You'll be familiar with this?<br />

a Complete the nine times table.<br />

1 x 9 =<br />

2 x 9 =<br />

3 x 9 =<br />

4 x 9 =<br />

5 x 9 =<br />

6 x 9 =<br />

7 x 9 =<br />

8 x 9 =<br />

9 x 9 =<br />

10 x 9 =<br />

What do you notice<br />

about the tens?<br />

b Record your observations.<br />

What happens when<br />

you add the digits?<br />

e.g. 2 x 9 = 18<br />

1 + 8 = 9<br />

What do you notice<br />

about the ones?<br />

What do you notice<br />

about the answers?<br />

9 = 9<br />

1 + 8 = 9<br />

Viewing sample<br />

2 What happens if, instead of adding the digits in the answer, you subtract the<br />

smaller number from the larger? e.g. 4 x 9 = 36, 6 – 3 = 3.<br />

Describe the pattern that is formed.<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

14 • <strong>Investigating</strong> <strong>Number</strong> patterns • © R.I.C. Publications ® • www.ricpublications.com.au •

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