Operation Target

The goal is to use four digits and the operations +, −, , and ÷ to make as many different whole numbers as you can. This is a cooperative contest for two or three people.

Materials

  • one or two pieces of paper for each player
  • pencil for each player
  • calculator that uses order of operations

Directions

  • You must use each of the four digits 9, 5, 2, and 1 exactly once.
  • You can use the operations +, −, , and ÷ once, more than once, or not at all.
  • Parentheses and exponents are allowed.
  • Make as many whole numbers as you can. For example, 9 + 5  2 − 1 = 18.
  • All division operations must give whole numbers. For example, 9 ÷ 2 = 4.5 is not allowed.
  • List the numbers you make and show how you made them.

Variations

  • Play with different digits. For example, play with 3, 4, 5, and 9.
  • Allow the digits to be arranged to make fractions and decimals.
  • Allow the digits to be arranged into 2-digit numbers. For example, using the digits 9, 5, 2, and 1, the following is permitted: 12  95 = 1140.