AoPS Number Theory Ch.8 Base Number System

lilijia Post in AoPS_Number_Theory
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Lesson review

  • A numeral is a representation of a number.
  • Base number systems
  • Base (radix, or scale)

Homework

  • p.142 Ex.8.2.1(a) (d)
  • p.145 Ex.8.3.1(b), 8.3.2(c), 8.3.3, 8.3.6(a)(d)(g)
  • p.148 Ex.8.4.2
  • p.152 Ex.8.5.2(a)(c), 8.5.3(a), 8.5.4
  • P158 Ex.8.6.2 (a,c,d,e), 8.6.4
  • p160 Ex.8.23
  • Ex. 8.6.2, please use a “smart” way to convert. For example, from 3^2 to 3, from 2^4 to 2, from n to n-1, try to think about the methods we explained in the class.
  • Extra Resources

*Another way to determine Perfect/Abundant/Deficient Number

Thanks to Jason’s Daddy’s sharing!

for example, 300 = 2^2  × 3 × 5^2.  

The sum of all positive divisors of 300

=(4+2+1)x(3+1)x(25+5+1) 

=7x4x31=868 > 2 x 300. 

Therefore 300 is abundant.

See you next next Sunday!

According to NCLS calendar, there is no school next week (4/12). 

Please take care and stay healthy!

We are going to learn Ch.9 Base Number Arithmetic on 4/19.


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