Refer to the Recreational Mathematics box.

a) Use the rules given on page 223 to represent the following whole numbers: 12, 15, 16, 17, 20.

b) We will now change our rules to allow the number 44 to count as two of the four 4’s. Use the number 44 and two other fours to represent the whole number 10.

Data From Recreational Mathematics Box:

The game of Four 4’s is a challenging way to learn about the operations on integers. In this game, you must use exactly four 4’s, and no other digits, along with one or more of the operations of addition, subtraction, multiplication, and division* to write expressions. You may also use as many grouping symbols (that is, parentheses and brackets) as you wish. The object of the game is to first write an expression that is equal to 0. Then write a second expression that is equal to 1, then write a third expression that is equal to 2, and so on up to 9. For example, one way to represent the number 2 is as follows: 

There are several other acceptable ways as well. For more information see www.mathsisfun.com/puzzles/  four-fours.html. Solutions for the whole numbers 0 –9 can be found in the back of this book.

Transcribed Image Text:

4 4 4 + 4 = 2. 16