PEMDAS Math Problem | Algebra Fundamentals #math #mathtricks #shorts #maths

[TCTheOrginal]

Multiplication by juxtaposition comes first before division in engineering and physics. A / BC is A = 1 B = 2 is not 1/2 C but rather 1 ÷ 2C. PEMBAS needs upgrading.

[Selenaa..]

Alot of people are saying its 1 not 16 but its actually 16 heres why:
Lets go through the expression step by step using PEMDAS:
1.Parenthesis: We start by evaluating the expression within the parenthesis :
2+2=4
2.Now we have :8÷2x4
3. Divison: Next, we perform the division.
8÷2+4
4.Multiplication :Finally, we do the multiplication.
4x4=16
So, 8÷2 (2+2) =16
Now you might be wondering where the multiplication came from so here is the explanation why :
When you write 8 ÷2(2+2) it's important to understand that juxtaposition (placing two terms or factors next to each other without an explicit operator) often implies multiplication in mathematics.
So 2 (2+2) is equivalent to 2x(2+2)
Therefore the expression 8 ÷2(2+2) is interpreted as 8÷2x(2+2), which follows the order of operation PEMDAS
In summary, the multiplication sign is implied when terms are placed next to each other without an explicit operator in mathematics.
You might be asking : What is a explicit operator: An explicit operator in mathematics is a symbol or notation that explicitly indicates a mathematical operation to be performed between two terms. Common explicit operators include:

Addition (+): Indicates the addition operation between two terms.
Subtraction (-): Indicates the subtraction operation between two terms.
Multiplication (× or *): Indicates the multiplication operation between two terms.
Division (÷ or /): Indicates the division operation between two terms.
**Exponentiation (^ or ): Indicates raising a term to a power.
Using explicit operators helps to clarify the intended mathematical operation between terms, especially when there's potential for ambiguity.

[utopian]

PEMDAS is an American construct made its way to US school system that is completely at odd with how arithmetics is done by engineers and mathematicians worldwide. When we see a bracket it takes precedence. 1/xy means 1/(x*y), not y/x as PEMDAS suggests.

[delcamarillo]

8/ 2(4)= ?….isnt it you need to eliminate first or simplify first by removing the parenthesis..so you need to multiply first 2(4) to become 8…that will give us 8/8= 1….how can you explain the rules?

[Luxgil]

Do people really believe it's 16? After reading the comments, someone can only hope that y'all realize it's 1.

[MattColler]

WRONG.
BODMAS/PEMDAS is a mnemonic made up by primary school teachers when using explicit × and ÷ symbols, well before the teaching of juxtaposition in algebra. It’s not an official mathematical rule, and no mathematician would ever interpret x²÷2x as meaning (x²÷2)x = x³/2. It should obviously be interpreted as x²÷(2x) = x/2.
In most maths textbooks on indices you’ll see lots of problems of the form x²y³÷xy², with the answer being given as xy. The unwritten rule is that juxtaposition has a precedence higher than explicit × or ÷ symbols.

[AltheaConte]

Yeah the parenticis us a multiplication we put × at tge side of the parenticis and get 16

[rate_it]

what if you transfer the number to a÷b(b+b)? you will say it's a/b(b+b) and you will see it's a/b(2b), so it's 8/8=1

[Andrew-pnjj]

Ur completely wrong 4 is in parentheses so it’s 2*4 first then divided it by 8 so the answers 1 PEMDAS

[izzzzzz]

In this case it makes no difference but the correct order is actually PEJMDAS not PEMDAS

[jyan]

@LKLOgic, you must be part of the 80% of people who get this wrong.

[NormalJellyCorgi]

16 and 1 is actually the correct answers

[cinnamon_board]

The answer is actually bad notation 8/2•(2+2)=16
8/[2(2+2)]=1

[sherwinjrfrancisco]

Pemdas
The solution here
We start at the numbers that has parenthisis so
2+2=4
4÷8=2
2÷2=1
Answer is 1

[KW-gbcd]

8 ÷ 2(2 + 2) = 8 ÷ 2(4) = 8 ÷ 8 = 1.
Pemdas should never be taught again.

[randylazer]

That is completely wrong, and you shouldn't be doing videos providing wrong answers on fifth grade math.

First 8 is the numerator, while 2(2+2) is a product.
Allow me to prove this video wrong.

a/bc = a/bx1/c

So if with this problem of 8 divided by 2(2+2), let a=8, b=2, and c= 2+2, or 4.

Thus 8/2(2+2) equals 8/2 x1/4, which equals 1, and not the BS answer of 16.

Because remember, a/bc doesn't equal a/b x c, but rather a/bx1/c

I have no clue why this is being taught pre-algebra, but beyond pre-algebra this would not be taught.

[hollowone]

8/2×(2+2)=16
8/2(2+2)=1
Why people can't understand this
a/bc ≠ a/b×c

[HolyAssassin]

PEMDAS Caution
Multiplication DOES NOT always get performed before Division. Multiplication and Division are performed as they occur in the equation, from left to right.

Addition DOES NOT always get performed before Subtraction. Addition and Subtraction are performed as they occur in the equation, from left to right.

The order "MD" (DM in BEDMAS) is sometimes confused to mean that Multiplication happens before Division (or vice versa). However, multiplication and division have the same precedence. In other words, multiplication and division are performed during the same step from left to right. For example, 4/2*2 = 4 and 4/2*2 does not equal 1.

The same confusion can also happen with "AS" however, addition and subtraction also have the same precedence and are performed during the same step from left to right. For example, 5 - 3 + 2 = 4 and 5 - 3 + 2 does not equal 0.

A way to remember this could be to write PEMDAS as PE(MD)(AS) or BEDMAS as BE(DM)(AS).

[Masters-rcsc]

Only people who didn't learn math concepts past the primary grade level do math like this.

The real answer is 1.

[ralph_janoras]

I swear indians have all your Math Wcienve and tech questions