Forming a specific number with given numbers and operations

In summary, to form a specific number using only the given numbers and operations, you need to use a combination of addition, subtraction, multiplication, and division, following the correct order of operations (PEMDAS). You can use any number of operations, but it is recommended to use the minimum necessary. If you are unable to form the desired number, you may need to adjust the operations or add more numbers. Parentheses can also be used to change the order of operations and make the calculation more efficient, following the PEMDAS rule.
  • #1
mah1
1
0
Suppose you are given (1) a natural number N; (2) a set of natural num-
bers S = {n1; n2; : : : }; (3) a set of arithmetic operators, say +; -;*; =
(with the usual meaning of addition, multiplication, substraction, di-
vision). Your job is to construct an arithmetic expression R built from
the given operators and using each of the numbers in S exactly once,
with R = N.
(a) Explain in general how you could solve that problem.
(b) Solve the speci c instance: N = 24, S = {1; 3; 4; 6}
 
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  • #2


so how would YOU do it?
 

FAQ: Forming a specific number with given numbers and operations

How can I form a specific number using only the given numbers and operations?

To form a specific number with given numbers and operations, you need to use a combination of addition, subtraction, multiplication, and division. Start by evaluating the operations in the correct order, using parentheses when necessary. Keep track of your calculations and adjust accordingly until you reach the desired number.

What is the correct order of operations when forming a specific number?

The correct order of operations when forming a specific number is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This means that you must first evaluate any operations within parentheses, followed by exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

Can I use any number of operations to form a specific number?

Yes, you can use any number of operations to form a specific number. However, keep in mind that the more operations you use, the more complex the calculation will be. It is important to use the minimum number of operations necessary to reach the desired number.

What should I do if I can't form a specific number with the given numbers and operations?

If you are unable to form a specific number with the given numbers and operations, it is possible that the number cannot be formed using those specific operations. In some cases, it may be necessary to use a different combination of operations or add more numbers to the equation.

Can I use parentheses to change the order of operations when forming a specific number?

Yes, you can use parentheses to change the order of operations when forming a specific number. This allows you to prioritize certain operations and can help you reach the desired number more efficiently. Just remember to use parentheses in the correct places according to the PEMDAS rule.

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