# Using ONLY ONCE 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=12

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Expert Answers

lemjay | Certified Educator

Some of the numerical expressions that we can form are:

(I) `27`

`=(4-2+1)^3`

`=3^2(4-1)`

`=(3^4)/(2+1)`

(II)`34`

`=4!+3^2+1`

(III) `38`

`=((4+1)!)/3-2`

(IV) `42`

`=(4+2+1)xx3!`

`=(3+4)xx(2+1)!`

`=((4+1)!)/3+2`

(V) `44`

`=4!xx2-3-1`

(VI) 47

`=4^2xx3-1`

`=2^4xx3-1`

(VII) `43`

`=4!*2 - 3!+1`

caledon | Certified Educator

If each number must be used once, this is only possible if we can combine numbers. Please ensure that your rules are clear when establishing the initial question.

27: 23 + (4/1)

34: 34 / 1^2

38: 42 - 3 - 1

42: 42 x 1^3

43: 42 + 1^3

44: 43 + 1^2

47: 41 + 2x3

Student Comments

glendamaem | Student

23 + (4/1) = **27**

34 / 1^2 = **34**

42 - 3 - 1 = **38**

42 x 1^3 = **42**

42 + 1^3 = **43**

43 + 1^2 = **44**

41 + 2x3 = **47**

glendamaem | Student

23 + (4/1) = **27**

34 / 1^2 = **34**

42 - 3 - 1 = **38**

42 x 1^3 = **42**

42 + 1^3 = **43**

43 + 1^2 = **44**

41 + 2x3 = **47**