Use the given number game to answer the following question.

lev888 said:
In 17 the order of operations you are actually performing does not correspond to the written expression. Please fix one or the other.
Click to expand...
Let me make sure I follow you.
You gave this instructions: you said pick a number and to follow the steps listed there
O, let me re-try
Pick a number = 5
x=5
Add 5 to the number.
Next, multiply 4.
Subtract 12.
Divide by 4.

I performed the operation as you can see there.

[math]y=(x+5)4−12/4 y=4x+20-12/4y=4x+20−12/4y=4x +8/4y=4x+8/4 y=x+2y=x+2[/math]
I got y=x+2
(the 4 divides the entire numerator)
what you mean is that there's a flaw in the workout of the expression?
 
It was here where I got lost. please, pintpoint the problem and I will fix it.
 
eddy2017 said:
Let me make sure I follow you.
You gave this instructions: you said pick a number and to follow the steps listed there
O, let me re-try
Pick a number = 5
x=5
Add 5 to the number.
Next, multiply 4.
Subtract 12.
Divide by 4.

I performed the operation as you can see there.

[math]y=(x+5)4−12/4 y=4x+20-12/4y=4x+20−12/4y=4x +8/4y=4x+8/4 y=x+2y=x+2[/math]
I got y=x+2
(the 4 divides the entire numerator)
what you mean is that there's a flaw in the workout of the expression?
Click to expand...
Pick a number was part of the checking process. First, you need something to check. Which is the expression y = ...
In #17 the expression is y=(x+5)4−12/4, which is incorrect.
y=(x+5)4 is the correct answer to my question (first 2 steps: add 5, multiply by 4). Now you can check it by picking a value for x and making sure that the steps and the expression produce the same result (they will).

Now, the complete expression:
y=(x+5)4−12/4
Do you understand why it's incorrect? Can you check it using the process I suggested and following rules of arithmetic EXACTLY?
 
You write (#17)

[math]y=4x+20-12/4[/math]
[math]y=4x +8/4 .................................... This is INCORRECT due to PEDMAS [/math]
Since there is no Parentheses (P) or exponientiation (E) involved here, so you have to do the division first. So the next operation would be the division:

[math]y=4x+20-12/4[/math]
[math]y=4x+20-3[/math]
[math]y=4x+17 [/math]
 
Subhotosh Khan said:
You write (#17)

[math]y=4x+20-12/4[/math]
[math]y=4x +8/4 .................................... This is INCORRECT due to PEDMAS [/math]
Since there is no Parentheses (P) or exponientiation (E) involved here, so you have to do the division first. So the next operation would be the division:

[math]y=4x+20-12/4[/math]
[math]y=4x+20-3[/math]
[math]y=4x+17 [/math]
Click to expand...
Okay, I checked and saw that back at post 17 I got confused and divided by 4 all the numbers. Did not realize that the instructions asked me to divide by 4 the last number you get which was 12. That was what happened,
now that I have the value of y=4x+17, this ca not be simplified further, so what to do next, any hint?
 
eddy2017 said:
Okay, I checked and saw that back at post 17 I got confused and divided by 4 all the numbers. Did not realize that the instructions asked me to divide by 4 the last number you get which was 12. That was what happened,
now that I have the value of y=4x+17, this ca not be simplified further, so what to do next, any hint?
Click to expand...
What was the FIND of the problem?
 
If x represents the starting number, and y represents the final number, which equation is equivalent to the number game?
 
eddy2017 said:
Okay, I checked and saw that back at post 17 I got confused and divided by 4 all the numbers. Did not realize that the instructions asked me to divide by 4 the last number you get which was 12. That was what happened,
Click to expand...
How would you modify the problem statement (mathematically) - so that your work (in response #17) will be deemed mathematically correct?
 
Subhotosh Khan said:
Where did that come from?
Click to expand...
just a mistake. Me trying to calculate something. tried to delete it but it got sent. let me try to do the equation again followwing the steps and correcting the mistake I make at 17, okay?
 
(x+5)⋅4 subtracting 12 now

(x+5)⋅4−12
Time to divide the 4. My question. And this is where I went wrong. please, answer this. Do I divide 4 by 12 or by the whole expression. this is important now!
 
eddy2017 said:
Okay, I checked and saw that back at post 17 I got confused and divided by 4 all the numbers. Did not realize that the instructions asked me to divide by 4 the last number you get which was 12.
Click to expand...
This is incorrect.
Think about the first 2 steps:
Add 5, multiply by 4.
Why does this correspond to (x+5)*4? Based on your post above, multiplication by 4 should apply to 5 only.
 
lev888 said:
This is incorrect.
Think about the first 2 steps:
Add 5, multiply by 4.
Why does this correspond to (x+5)*4? Based on your post above, multiplication by 4 should apply to 5 only.
Click to expand...
(x+5)⋅4(−12)
 
I had to add parentheses. Now the 4. I am in doubt. I think it should be divided all along because multiplication and division take precedence over addition and subtraction, right?.
 
eddy2017 said:
I had to add parentheses. Now the 4. I am in doubt. I think it should be divided all along because multiplication and division take precedence over addition and subtraction, right?.
Click to expand...
Why did you have to add parentheses?
 
lev888 said:
Why did you have to add parentheses?
Click to expand...
(x+5)⋅4−12 is this correct?. Time to divide the 4. My question. And this is where I went wrong. please, answer this. Do I divide 4 by 12 or by the whole expression.
Should it be like this
[math](x+5)⋅4−12/(4)[/math]
 
If I enclosed the 4 was because I wanted you to see that I think it divides the whole numerator. there is no need of parentheses had I know how to use the proper notation tool
 
eddy2017 said:
(x+5)⋅4−12 is this correct?. Time to divide the 4. My question. And this is where I went wrong. please, answer this. Do I divide 4 by 12 or by the whole expression.
Should it be like this
[math](x+5)⋅4−12/(4)[/math]
Click to expand...
By answering my question you will answer yours. Why (x+5)*4 and not x+5*4?
 
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