Thursday

September 18, 2014

September 18, 2014

Posted by **Henry** on Friday, January 9, 2009 at 2:00am.

Various constraints can be (and need to be) applied, such as the use of integers only, the number of expressions listed, a restricted choice of digits, or operations etc.

List ten mathematically different expressions equivalent to 46, using the digits 2, 4, 5, 7, and 9.

You may use any or all digits in a single expression. You may not repeat any digits in any one expression. You may use any mathematical operation that is valid, and does not repeat the use of a digit IN ANY FORM!

At least one expression should use all five digits.

At least one expression should use all four arithmetic operators (+, - , ื, ๗) at least once.

One expression might even use all five digits AND all four operators!

For example: If you have the digits 1, 3, 5, 8, and 2,and use them to write equivalent expressions for the number 24, you could write: 3 ื 8, or 23 + 1, but you cannot write: 13 ื 2 − 2, because the "2" is used twice in the one expression.

My solutions so far are:

(5 ื 7) + (9 + 4) 2 = 46

(9ฒ) (7 ื 5) = 46

(√9 ื 7 ื 2) + 4 = 46

(9 ื 5) + ( 7 2) 4 = 46

(9 ื 4) + (5 + 7) 2 = 46

I'm having troubles with the other five..

Also what are the ESSENTIAL (BIG) mathematical ideas (concepts) that are IN the problem?

And how can i generalise these ideas that are particular to the problem, to a broader context that still focuses on the problem.

- Math -
**economyst**, Friday, January 9, 2009 at 2:19pmCut-and-paste operations do not work so well on Jiskha posts. You may need to type out each of your current solutions.

- Math -
**billy**, Saturday, March 21, 2009 at 9:20pm(5 x 7) + 9 + 2 = 46

(7 + 5) x 4 2 = 46

- Math -
**jason**, Monday, March 23, 2009 at 8:56pm5+67=

**Answer this Question**

**Related Questions**

Number Line - If an integer a is pictured on the number line then the distance ...

math - Rules:Determine wether the two expressions are equivalent.If so,tell what...

math - The t-shirts for the fundraiser will cost $4.00 to make and there is a $...

math - Please check my answers: How are the symbols 3/4, 0.75, and 75% related...

MATH - Please check my answers: How are the symbols 3/4, 0.75, and 75% related? ...

MATH - Please check my answers: How are the symbols 3/4, 0.75, and 75% related? ...

MATH - Please check my answers: How are the symbols 3/4, 0.75, and 75% related? ...

math - 2)How many arrangements of the integers 1,2,3,...,n are there such that ...

college math question - Find the GCD of 24 and 49 in the integers of Q[sqrt(3...

Fractions and Integers - If x/4+y/5=19/20 where x and y are positive integers ...