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To: grateful
When you compute long division, do you write it like this?

If so, 2(12) needs to be resolved first as it is to the LEFT.

Again, using keyboard notation is obfuscating the equation. Draw a line. Put 48 on top. Write 2(12) under it. Now solve. Now draw another line. Put 48 on top. Put 2 on the bottom. Now put an * to the right of the line and put a 12 to the right of it.

This is where this whole issue breaks down.

One equation is 48*1/2*1/12=2 and the other is 48*1/2*12=288.

For keyboard notation to come out correctly, 288= (48/2)(6+3). That would be one way to completely remove the contention over typing the equation.

662 posted on 04/15/2011 10:39:40 AM PDT by Dead Corpse (explosive bolts, ten thousand volts at a million miles an hour)
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To: Dead Corpse
This is not long division. Look at the example at the site.

Example 3: Evaluate 9 - 5 ÷ (8 - 3) x 2 + 6 using the order of operations.
Solution:
Step 1: 9 - 5 ÷ (8 - 3) x 2 + 6 = 9 - 5 ÷ 5 x 2 + 6 Parentheses
Step 2: 9 - 5 ÷ 5 x 2 + 6 = 9 - 1 x 2 + 6 Division
Step 3: 9 - 1 x 2 + 6 = 9 - 2 + 6 Multiplication
Step 4: 9 - 2 + 6 = 7 + 6 Subtraction
Step 5: 7 + 6 = 13 Addition

You can rewrite that problem as 9 - 5 ÷ 2(8 - 3) + 6, which is similar in form to 48÷2(9+3). Implicit multiplication does not have precedence over explicit multiplication. They are equal. Thus, by order of operations, you cannot multiply before you divide if the division operation comes first in left to right order.
663 posted on 04/15/2011 10:48:00 AM PDT by grateful
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To: Dead Corpse; grateful
Again, using keyboard notation is obfuscating the equation.

See my post 649.

You admit that you are not reading the problem as given. Those of us who get 288 are. It's that simple.

We understand the "keyboard notation" and how it is parsed by computers and humans who understand the standard accepted order of operations.

Since you are doing some other problem, you should probably start a new thread to discuss the problem you are solving.

How many examples from math websites do you need to see in order to understand that the division operator does not make everything to its right a part of the denominator?

664 posted on 04/15/2011 12:09:18 PM PDT by SoothingDave
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