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PR-6102UK Investigating Number Patterns 3

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Eleven Times<br />

1 2 3 4 5 6 7 8<br />

AC C % ÷<br />

7 8 9 x<br />

4 5 6 –<br />

1 2 3 =<br />

0 . +<br />

1 Notice what happens when the<br />

table is extended further.<br />

a 11 x 11 =<br />

Do you know the pattern in<br />

the eleven times table?<br />

11, 22, 33, 44, 55, 66, 77, 88, 99<br />

b 12 x 11 =<br />

c 13 x 11 =<br />

d 14 x 11 =<br />

Predict the following.<br />

a 15 x 11 =<br />

b 16 x 11 =<br />

c 17 x 11 =<br />

Check your answers.<br />

4 Try these multiplications.<br />

a 51 x 11 =<br />

b 27 x 11 =<br />

c 31 x 11 =<br />

d 34 x 11 =<br />

e 43 x 11 =<br />

f 72 x 11 =<br />

2 Do you think the pattern will<br />

continue?<br />

Yes<br />

3 Try some more to check.<br />

a 18 x 11 =<br />

b 19 x 11 =<br />

5 What do you think you would need to<br />

do to multiply 68 by 11?<br />

c What happens when you reach<br />

20 x 11?<br />

No<br />

To multiply any two-digit<br />

number by 11, take the two<br />

digits of the original number<br />

to form the first and last digits<br />

of the number; e.g. 42 x 11<br />

gives 4_2. The middle digit is found by adding<br />

these two digits; e.g. 4 + 2 = 6 answer = 462.<br />

Viewing sample<br />

6 Now try these multiplications.<br />

a 59 x 11 =<br />

b 82 x 11 =<br />

c 77 x 11 =<br />

d 93 x 11 =<br />

• www.ricpublications.com.au• © R.I.C. Publications ® • <strong>Investigating</strong> <strong>Number</strong> patterns • 17

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