1 / 10

NUMBER SENSE (PROBLEM SOLVING)

NUMBER SENSE (PROBLEM SOLVING). TIMES3_ Number theory Day5. Factoring Formulas. Inspired by…. How many consecutive zeros does 100! have at the end?. Assume that 100! has m 2s and n 5s in its prime factorization. Apparently, there are more 2s than 5s in 100!.

lynsey
Télécharger la présentation

NUMBER SENSE (PROBLEM SOLVING)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. NUMBER SENSE(PROBLEM SOLVING) TIMES3_ Number theory Day5

  2. Factoring Formulas

  3. Inspired by…

  4. How many consecutive zeros does 100! have at the end? Assume that 100! has m 2s and n 5s in its prime factorization. Apparently, there are more 2s than 5s in 100!. Thus, the number of zeros at the end of 100! is same as the number of 5s in 100! Let’s count: 100!= # of multiples of 5 less than equal to 100 = # of multiples of 25 less than equal to 100 = Answer:

  5. What is the remainder if is divided by ?

  6. Find the remainder when the sum is divided by .

  7. Let . Evaluate .

  8. How many positive integers less than 70 are relatively prime to 70?

  9. Alabama Statewide Mathematics Contest by ACTM • You can go to http://mcis.jsu.edu/mathcontest/and check the contest problems with answers for last 12 years.

More Related