September's "Problem of the Month"

College Prep Algebra II

Student's Name:  __________________________________________

Date Due:  Friday September 29, 2017
Remember: You must submit your solution on THIS printed page.


Four Fours

Directions:
Using exactly four 4's and any combination of mathematical operations, figure out a way to calculate the numbers 1 through 20. You may use addition, subtraction, multiplication, division, exponents (only an exponent of "4" of course), square roots, fractions (that only contain 4's), !factorials!, decimals and/or grouping symbols. But each number must be calculated using exactly 4 fours.

Hints:
1. Many solutions can be calculated with just your basic add, subtract, multiply and divide along with appropriate grouping symbols (so try there first).
2. You can also use other numbers such as 44 or 4.4 etc. (Both of these examples used two 4's.)  This style may be required for a variety of answers.

. = 1
. = 2
. = 3
. = 4
. = 5
. = 6
. = 7
. = 8
. = 9
. = 10
. = 11
. = 12
. = 13
. = 14
. = 15
. = 16
. = 17
. = 18
. = 19
. = 20