48÷2(9+3) = ??

Status
Not open for further replies.

FantWriter

Super Member
ECF Veteran
Dec 11, 2010
601
5,429
Kentucky
288

Type it into any spreadsheet (you'll probably have to enter it as =48/2*(9+3) -- the = sign tells the program it's not text, and leaving out the * between the 2 and the ( is just mathematicians' shorthand/sloppiness).

If you want something actually odd, try this:

a = b
multiply both sides by a
a^2 = a*b
subtract b^2 from both sides
a^2-b^2 = a*b-b^2
apply the distributive law to both sides
(a+b)(a-b) = b(a-b)
divide both sides by (a-b)
(a+b) = b
substitute all a's for b's (remember, if a = b you can do this)
a+a = a
regroup the two a's in the left side, and rename it 2a
2a = a
divide both sides by a
2 = 1
 

Tracker II

Ultra Member
ECF Veteran
Verified Member
Jan 13, 2011
1,060
807
Illinois
The answer is 288. Rules of Order in algebra; 1) work the parentheses first 2) work multipication and/or division as it appears Left to right.
48÷2(9+3) = 24*12=288

Technovapir has correctly stated the Rules of Order (that apply to this equation) of Algebra and it's solution.
 

DaveP

PV Master & Musician
ECF Veteran
May 22, 2010
16,733
42,646
Central GA
Brackets and parenthesis first then MDAS is the key. Multiply Divide Add Subtract (the parenthesis gets simplified first)

48 / 2(9+3)=
48 / (2*9 + 2*3)=48/24=2

The 2 is part of the distributive property of the expression. 2(x+y) = 2x+2y. You can't operate with the 2 until the parenthesis is simplified.

It's 2.
 
Last edited:
Status
Not open for further replies.

Users who are viewing this thread