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Calculator Patterns 1

Put your calculators in a pileThere is a certain magic about the number 9. The 9-times table has a nice symmetry in its numbers. But this also extends to other examples of multiplying by 9. So even if you don't know your 999 times table, get out your calculator and have a look at the patterns in these 9-times numbers:

Use your calculator to work out the rest of the answers here. First some number patterns in the 9-times table and related tables:

9 x 1 =    9
9 x 2 =   18
9 x 3 =   27
9 x 4 =   36
9 x 5 =    ?
9 x 6 =    ?
9 x 7 =    ?
9 x 8 =    ?
9 x 9 =    ?
99 x 1 =    99
99 x 2 =   198
99 x 3 =   297
99 x 4 =   396
99 x 5 =     ?
99 x 6 =     ?
99 x 7 =     ?
99 x 8 =     ?
99 x 9 =     ?
999 x 1 =    999
999 x 2 =   1998
999 x 3 =   2997
999 x 4 =   3996
999 x 5 =      ?
999 x 6 =      ?
999 x 7 =      ?
999 x 8 =      ?
999 x 9 =      ?

Here are some more multiples of 9...

1 x 9         +  2 =  11
12 x 9        +  3 = 111
123 x 9       +  4 =   ?
1234 x 9      +  5 =   ?
12345 x 9     +  6 =   ?
123456 x 9    +  7 =   ?
1234567 x 9   +  8 =   ?
12345678 x 9  +  9 =   ?
123456789 x 9 + 10 =   ?

9 x 9        + 7 = ?
98 x 9       + 6 = ?
987 x 9      + 5 = ?
9876 x 9     + 4 = ?
98765 x 9    + 3 = ?
987654 x 9   + 2 = ?
9876543 x 9  + 1 = ?
98765432 x 9 + 0 = ?

The next patterns use the multiples of 9: 9, 18, 27, 36, 45, etc.

987654321 x  9 =  8888888889
987654321 x 18 = 17777777778
987654321 x 27 =           ?
987654321 x 36 =           ?
987654321 x 45 =           ?
987654321 x 54 =           ?
987654321 x 63 =           ?
987654321 x 72 =           ?
987654321 x 81 =           ?
123456789 x  9 = 1111111101
123456789 x 18 =          ?
123456789 x 27 =          ?
123456789 x 36 =          ?
123456789 x 45 =          ?
123456789 x 54 =          ?
123456789 x 63 =          ?
123456789 x 72 =          ?
123456789 x 81 =          ?
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