Tuesday

March 3, 2015

March 3, 2015

Posted by **K - NEED HELP** on Wednesday, March 13, 2013 at 8:20pm.

- MATH- HELP -
**Reiny**, Wednesday, March 13, 2013 at 8:52pmThink of all the factors that will produce a zero

1. clearly all multiples of 10 will add a zero

that is, numbers like 30, 60, 210, etc

2. also every factor ending in 2 multiplied by a factor ending in 5 will produce a zero

so zeros are produced by the following

* 2 * * 5 * * * * 10 * 12 * * 15 * * * * 20 * ....

so for the first 10! we should have 2 zeros, test with your calculator to get 3628800

by the time we get to 20! we should have 4 zeros

at 30! we should have 6 zeros

etc

so after 100! we should have 20 zeros

by the same reasoning:

200! should have 40 zeros

300! should have 60 zeros

so we have (a x 10^20)(b x 10^40)(c x 10^60)

= abc x 10^120

check my thinking.

- MATH- HELP -
**K - NEED HELP**, Wednesday, March 13, 2013 at 9:26pmThank you!

**Answer this Question**

**Related Questions**

Math - If you multiply 100!*200!*300!, how many 0s are there?

Algebra - Which of these sequences shows exponential growth? a) 800, 400, 200, ...

Mahts - The perimeter of a field is 300m and its length is 100m. What is its ...

Genetics - Genes: Brown = B Big eyes = E Small ears = S Frizzy hair = F These 4 ...

Math 116 - Is this correct so far...I just want to know if I am doing this.. b) ...

Problem Solving Math Question - Find the sum of all the numbers in the following...

chem - Calculate the pH of the solution that results from mixing the following ...

Math - The attendance at the Harmony School carnival has shown a range of 200 ...

math 115 - I am stuck with this problem can some let me know how to work this ...

math 115 - I am stuck with this problem can some let me know how to work this ...