Can you correct this algorithm?

Question

The algorithm shown next should evaluate the expression a + b * c + 3 + c / 5, but it is not working correctly. Correct the algorithm.

1. add a to b 2. multiply the result of step 1 by c 3. add 3 to the result of step 2 4. add c to the result of step 3 5. divide the result of step 4 by 5

Answer 1

((a+b)c+3+c)/5

Answer 2

you should be using order of operations...

multiplication and division (from left to right) come before addition and subtraction (also from left to right)

1) multiply b by c

2) divide c by 5

3) add a to the result of (1)

4) add 3 to the result of (3)

5) add the results of (2) and (4)

adding parentheses to clarify the order of operations:

{[a + (b*c)] + 3} + (c/5)

If no parentheses / brackets are given, you should follow PE(MD)(AS) for the order of operations:

Parentheses

Exponents

Multiply / Divide from left to right

Add / Subtract from left to right

Answer 3

Reading the other responses, there appears to be a difference between the algorithm I see and others see it.

To me the algorithm looks very unambigous and looks like this:  a  +b*c  + 3 +c/5. Others appear to see other things judging by their answers.

Rule is that * and / (multiplying and dividing) comes before +  - (adding and subtracting).

So, to solve your algorithm correctly

multiply b*c  and divide c/5, then add to it a and 3 and c/5

To see this in mathematical expression

a +(b*c) + 3 +(c/5), however, your expression as written can only be interpreted one way and is perfectly legitimate

Answer 4

If I did nt understand correctly, this is what it's all about:

*  add 'a' to the the product of c  times c (there is parenthesis at a+b)

*  add 3 plus 1/5 of c.

Try that and see what happens. Good luck.

Answer 5

1.  multiply b times c.

2.  divide c by 5.

3.  add a + 3

4.  add the results from step 1, 2, and 3.

Finished.

Answer 6

Your algorithm calculates the following expression:

{ [c(a+b)]+3 +c }/5

What you are looking for is:

1- Add a to b

2- Add 3 to c

3- Multiply the results of 1 and 2

4- Divide c by 5

5- Add the results of 4 and 3

  

Answer 7

1. Multiply b and c.

2. Add a to the product in step 1.

3. Add 3 to the sum of step 2.

4. Divide c by 5.

5. Add sum of step 3 to quotient of step 4.

.