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 />
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