Math: right answer

**Starex_Gold** · April 12th, 2011 08:15 PM

48÷2(9+3)=

Distribute 2 to 9+3
18+6
=24

48÷24=2

Lintik napa-isip pa ako. :hysterical:

**donbuggy** · April 12th, 2011 08:20 PM

Do things in parentheses first.

48 ÷ 2 x (9 + 3)
48 ÷ 2 x 12

Go left to right.

48 ÷ 2 x 12
24 x 12
288

http://www.mathsisfun.com/operation-order-pemdas.html

Do things in Parentheses First. Example:

6 × (5 + 3) = 6 × 8 = 48
6 × (5 + 3) = 30 + 3 = 33 (wrong)

Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract. Example:

5 × 22 = 5 × 4 = 20
5 × 22 = 102 = 100 (wrong)

Multiply or Divide before you Add or Subtract. Example:

2 + 5 × 3 = 2 + 15 = 17
2 + 5 × 3 = 7 × 3 = 21 (wrong)

Otherwise just go left to right. Example:

30 ÷ 5 × 3 = 6 × 3 = 18
30 ÷ 5 × 3 = 30 ÷ 15 = 2 (wrong)

**ARB** · April 12th, 2011 08:25 PM

"Distributive property of multiplication. Early Algebra.

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). Let me repeat the 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it.

So this can be rewritten as:
48 / (2*9 + 2*3)

Which leaves us with

48 / 24 = 2

Answer = 2."

got this from the net, it seems that a lot of people are also arguing what is the correct answer.

**digitalron** · April 12th, 2011 08:26 PM

I created a simple script to see what the result is.
copy-paste into a text file, name it test.html.

Then, open the file with a browser.

<html>
<body>
<script>
document.write("48/2(9+3) = " + 48/2*(9+3));
</script>
</body>
</html>

48÷2(9+3) is simply 48÷2×(9+3)

The rule in algebra is that operations follow the MDAS rule from left to right, with the parenthesis changing the precedence order. So, 48÷2 gets operated on first. The result is then multiplied to the result of (9+3) since the parenthesis around 9 and 3 indicate the summation must be done first.

This is just like

a÷bc

the above is NOT a÷(bc), because multiplication and division have the same precedence.

a÷bc is just (a÷b)c

You could check Google:

http://www.google.com.ph/search?q=48...ient=firefox-a

**doo** · April 12th, 2011 08:39 PM

Originally Posted by ARB

"Distributive property of multiplication. Early Algebra.

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up.

Agree with this. answer is 2

**rene_tagle** · April 12th, 2011 08:43 PM

Originally Posted by ARB

"Distributive property of multiplication. Early Algebra.

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up. 2(9+3) follows the distributive property which can be rewritten as (2*9+2*3). Let me repeat the 2 outside of the parenthesis follows the distributive property of multiplication and must be factored and simplified before performing any other operations on it.

So this can be rewritten as:
48 / (2*9 + 2*3)

Which leaves us with

48 / 24 = 2

Answer = 2."

got this from the net, it seems that a lot of people are also arguing what is the correct answer.

exactly!

**digitalron** · April 12th, 2011 08:55 PM

Originally Posted by ARB

"Distributive property of multiplication. Early Algebra.

The distributive property of multiplication CLEARLY states that the 2(9+3) is an entire term and CANNOT be broken up.

I respectfully disagree. The full term is The Distributive Property of Multiplication OVER Addition; it never says OVER DIVISION because in PEMDAS, multiplication and division are equal and evaluated left to right in the absence of parenthesis.

Distributive Property of Multiplication OVER Addition applies when you have something like

a+b(c+d) which equates to a+bc+bd because b(c+d) has precedence over a+b.

However, in the expression

a/b(c+d)

you cannot evaluate b(c+d) before a/b because multiplication has the same precedence as division, you need to follow left to right evaluation. So that expression becomes (a/b)*(c+d)

Parenthesis, Exponents, (Multiplication-Division), (Addition-Subtraction).

In the expression 48÷2(9+3), this is simply another way of saying saying 48÷2×(9+3), and thus your terms as 48, 2, and (9+3). PEMDAS then states that you evaluate the terms inside the parenthesis first, 9+3=12

Then, you are left with 3 terms, 48, 2, 12. Using PEMDAS again, since the remaining operators are multiplication and division, you just evaluate left to right.

**renzo_d10** · April 12th, 2011 08:59 PM

Sabi ng calculator, 2 !

Wala nang away kasi ang sagot, 2 !

Alangan mo naman magkamali ang calculator diba.

**digitalron** · April 12th, 2011 09:05 PM

Originally Posted by renzo_d10

Sabi ng calculator, 2 !

Wala nang away kasi ang sagot, 2 !

Alangan mo naman magkamali ang calculator diba.

Because the way you press the numbers on the calculator does not follow the PEMDAS rule. You must have first done

9+3

which is correct, because terms inside the parenthesis are evaluated first. However, you must have multiplied that by 2 immediately to get 24. You then Used 24 as a divisor for 48.

But that is wrong, because you performed the multiplication operation first, when it is the division that should have been done first as it is to the left of the multiplication operation.

**freeloader** · April 12th, 2011 09:09 PM

Both correct para walang away

**artpogi** · April 12th, 2011 09:13 PM

If I remember my algebra, it should be like this

(48/2)*(9+3)=288

**renzo_d10** · April 12th, 2011 09:15 PM

Originally Posted by digitalron

Because the way you press the numbers on the calculator does not follow the PEMDAS rule. You must have first done

9+3

which is correct, because terms inside the parenthesis are evaluated first. However, you must have multiplied that by 2 immediately to get 24. You then Used 24 as a divisor for 48.

But that is wrong, because you performed the multiplication operation first, when it is the division that should have been done first as it is to the left of the multiplication operation.

Uhm, I used a scientific calculator ... and I entered this :

48 / 2(9+3)

And the answer I got was two.

If ever I did something wrong, can you tell me what was it ?

**digitalron** · April 12th, 2011 09:19 PM

Originally Posted by freeloader

Both correct para walang away

I respectfully disagree. There is a reason why PEMDAS is followed by the different programming languages: to remove ambiguities in mathematical expressions.

The expression presented by the TS will evaluate to 288 in the various programming languages.

I have personally tried in Javascript, PHP, C#, Excel, VBScript, and Ruby.

**digitalron** · April 12th, 2011 09:25 PM

Originally Posted by renzo_d10

Uhm, I used a scientific calculator ... and I entered this :

48 / 2(9+3)

And the answer I got was two.

If ever I did something wrong, can you tell me what was it ?

I just tried doing this on two scientific calculators plus Window's own calculator and got 288.

Press in order

48
/
2
*
(
9
+
3
)
=

**12vdc** · April 12th, 2011 09:26 PM

Kung 288 ang sagot dyan, hindi bebenta ang casio ng calculator.

**12vdc** · April 12th, 2011 09:28 PM

Originally Posted by digitalron

I just tried doing this on two scientific calculators plus Window's own calculator and got 288.

Sa National Bookstore ko nabili ang calculator, baka sa Miranda bookstore mo nabili yung 2 calc mo..

**c_cube** · April 12th, 2011 09:33 PM

im sorry pero nakakatawa na ang thread na ito hahahaha!!!

sagot ko is 288 -- (9+3 then 48/2 then 24*12)

pero napapaisip din ako parang pwedeng sagot din yun 2 eh.

UPDATE

tinanong ko pinsan ko na na nag aaral pa sa HS "2" daw sagot ( 9+3 then 2*12 then 48/24) hahaha!!!!

masakit na ulo ko dito hahaha!!!

**mykpogi** · April 12th, 2011 09:40 PM

Originally Posted by digitalron

I respectfully disagree. There is a reason why PEMDAS is followed by the different programming languages: to remove ambiguities in mathematical expressions.

The expression presented by the TS will evaluate to 288 in the various programming languages.

I have personally tried in Javascript, PHP, C#, Excel, VBScript, and Ruby.

+1

using MDAS rule, the answer should be 288..
tried using java, lotus, and .net.. pati internal computation ng db2 at oracle 288 din ang sagot eh..

**vito corleone** · April 12th, 2011 09:42 PM

Originally Posted by digitalron

48÷2(9+3) = 48÷2×(9+3) = 48÷2×(12) = 24(12) = 288

Multiplication and division have the same precedence, so whichever is ahead will be evaluated first.

always follow mdas, pre, para di ka magkamali

**renzo_d10** · April 12th, 2011 09:44 PM

Isn't the value " 2 " supposed to be the one being distributed to the sum of the values inside ?

I mean, the 2 isn't supposed to be a denominator.

The computed value after the division sign should be the one divided to the value " 48 "

I hope you get me.

Plus, the 2 and the parenthesis isn't being separated by any operational signs(?) that's why you should distribute it after computing for the sum of 9 + 3 ...

To get me further ...

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