MHB IMO question’s solution: How can the answer be explained in a simple way?

Thread starter Winson
Start date Mar 2, 2018

Mar 2, 2018

Winson

Dear all,

How can the answer be explained in a simple way? Please give all detailed steps if possible, since my math ability is limited. Thank you for you help!

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View attachment 7893

Last edited by a moderator: Mar 2, 2018

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Mar 2, 2018

MarkFL

Gold Member

MHB

Are you sure the question and answer go together?

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A power has two parts. Base and Exponent. A number 423 in base 10 can be written in other bases as well: 1. 4* 10^2 + 2*10^1 + 3*10^0 = 423 2. 1*7^3 + 1*7^2 + 4*7^1 + 3*7^0 = 1143 3. 7*60^1 + 3*60^0 = 73 All three expressions are equal in quantity. But I have written the multiplier of powers to form numbers in different bases. Is this what place value system is in essence ?

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MHB IMO question’s solution: How can the answer be explained in a simple way?

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Thread 'Trigonometry problem of interest'

Thread 'Midpoint(s) of the unbounded number line'

Thread 'Arithmetic and our place value system'

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