Using only the numbers 1 2 3 and 4 write numerical expressions to equal 27, 34, 38, 42, 43, 44, and 47 ! Ex. 1 + 2 + 3 + 4 =10 Ex. 3^2 + 4 - 1 = 10

Expert Answers

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...or do you mean you can only use each of these four digits once?

(23+4) x 1 = 27

34 x (1^2) = 34

42 - 3 - 1 = 38

42 x (1^3) = 42

43 x (1^2) = 43

43 + (1^2) = 44

41 + (3x2) = 47

I know that this is a little on the lateral thinking side, but perhaps it qualifies too.

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There are an infinite number of ways to accomplish this task, but I'll use a slightly different approach for each number.

  • 27  Exponents: 3^3
  • 34  Multiplication and Addition: 4x4 + 4x4 + 2
  • 38  Addition and Subtraction: 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 -2
  • 42  Multiplication and Subtraction: 4x4x3 - 4 - 2
  • 43  Exponents, Division, Subtraction: ((4^4 / 2) + 1) / 3
  • 44  Multiplication and Addition: (4 + 4 + 3) x 4
  • 47  Exponents and Subtraction: 4^3 - 2^4 - 1
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