median
don steward
mathematics teaching 10 ~ 16

Sunday, 9 December 2007

powers of 11

extending some work on powers I asked students to look at the powers of 11 and explore patterns


one of them found this:







11 ~ 11
121 ~ 12 - 1 = 11
1331 ~ 13 - 3 + 1 = 11
14641 ~ 14 - 6 + 4 - 1 = 11
161051 ~ 16 - 1 + 0 - 5 + 1 = 11
1771561 ~ 17 - 7 + 1 - 5 + 6 - 1 = 11
19487171 ~ 19 - 4 + 8 - 7 + 1 - 7 + 1 = 11

these stemmed from noticing that 12 - 1 is 11

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