Math

How many terminal zeros are at the end of (20!)?

  1. 👍 0
  2. 👎 0
  3. 👁 63
asked by Joe
  1. How many numbers are divisible by 5 between 1 and 20?

    1. 👍 0
    2. 👎 0
  2. 20,15,10, and 5 are all divisible by 5. so 4. Is that how you solve for the amount of terminal zero's?

    1. 👍 0
    2. 👎 0
    posted by joe
  3. uh oh my mistake. I missed a key part of the question. the question is..... How many terminal zeros are at the end of (20!)^2?

    1. 👍 0
    2. 👎 0
    posted by joe
  4. The way we can get a terminal zero in a product depends on two factors (no pun intended), 2 and 5.
    There are plenty of two's between 1 and 20, namely we get three of them in 8=2^3, and 16=2^4.
    Therefore the governing factor is the number of 5's, which when combined with 2 gives a terminal zero.
    If there are four 5's between 1 and 20, then 20! will have 4 terminal zeroes.

    As you probably figured it out, squaring doubles the number of terminal zeroes.

    So if 20! has 4, then (20!)^2 should have???

    Note: watch out if and when you come to 25!
    25=5^2, so counts as 2 factors of 5.

    1. 👍 0
    2. 👎 0
  5. alright thankyou.

    1. 👍 0
    2. 👎 0
    posted by joe
  6. You're welcome!

    1. 👍 0
    2. 👎 0
    posted by MathMate
  7. you go to sunland don't you?

    1. 👍 0
    2. 👎 0
    posted by jane

Respond to this Question

First Name

Your Response

Similar Questions

  1. 7th grade, math

    Can someone explain the steps to solve this problem? If a number ends in zeros, the zeros are called terminal zeros. For example, 520000 has four terminal zeros, but 502,000 has just three terminal zeros. Let N equal the product

    asked by Sharron on October 21, 2010
  2. Math-Polynomials/Zeros

    How do I find complex zeros in a an equation if the equation doesn't have the + or - value at the end can th ecomplex zero(s) be made up? I'm getting really confused with complex zeros well zeros in general

    asked by Please :) on January 20, 2015
  3. Decartes Rule of Signs

    Could you explain to me decartes Rule of signs? Here are my questions: Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 choices are: a.

    asked by Ash on October 9, 2007
  4. Math

    f(x)=x64-4x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I

    asked by Anonymous on January 19, 2015
  5. math

    f(x)= x^3 - 2x^2 - 21x - 18 all possible rational zeros # of possible positive zeros # of possible negative zeros find all the real zeros

    asked by MIchelle on October 30, 2014
  6. Math

    An appliance company has a warehouse and two terminals. To minimize shipping costs, the manager must decide how many appliances should be shipped to each terminal. There is a total supply of 1200 units in the warehouse and a

    asked by Ally on September 27, 2013
  7. mathematics

    A student scores 86% in the first terminal and 75% in the second terminal.What percentage must he score on the final exam to obtain an average of 80%. The exams are weighted as first terminal 20%,second terminal 40% and the final

    asked by ansita on April 1, 2016
  8. Decartes Rules

    Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. Please check my answers? 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes

    asked by Ash on October 10, 2007
  9. Decartes Rule of Signs-Check Problems

    Use Decartes Rule of signs to determine the possible number of postive and negative real zeros for the given function. 1. f(x)=-7x^9+x^5-x^2+6 This is what I did: There are 2 sign changes f(-x)=-7(-x)^9+(-x)^5-(-x)^2+6 There are 2

    asked by Ash on October 9, 2007
  10. rational zeros theorem

    Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)=

    asked by Jill on April 9, 2013

More Similar Questions