What is best and quickest way to evaluate an approximate answer to this by hand?
arithmetic
asked 2010-10-25
user id:2784
141
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1
Do you want the result $57^{46} / 17 \approx 3.5 \times 10^{79}$, the quotient, or the remainder? – 2010-10-25
3
Some of the answers below are interpreting the question as being $57^{46}$ modulo $17$, or in other words the remainder upon division by $17$. The OP should of course clarify, but given that s/he asks for an "approximate answer", it sounds like s/he really wants the quotient. – 2010-10-25
7
@Pete, if the OP has the remainder in mind, an easy approximate answer would be $0\pm 9$ :) – 2010-10-25
3
@Mariano: I can get a sharper bound with $8\pm 8$. =) – 2010-10-25
0
@Mariano: agreed. – 2010-10-26
0
scientific calculators are so cheap nowadays ... – 2012-04-06
0
Daniel Tammet suggests listening to the equation and drawing the number. Didn't work for me. – 2013-06-13