Subduction Zone
Veteran Member
196 - 182*0.5 = 7!!
Did I make any errors?
Did I make any errors?
-
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How is my math:
- Thread starter Subduction Zone
- Start date
Yes. You asked me to check your math.
Subduction Zone
Veteran Member
That is not the answer that I was looking for, but thank you.
I am waiting for a few responses to roll in. Perhaps even @Polymath257 will hopefully weigh in.
Altfish
Veteran Member
Yup, you made an error.
In the order of things multiplication happens before subtraction., so the answer is 105.
I got 105 based on order of operations. (I hope).
Subduction Zone
Veteran Member
I happened to get the same answer:
PEMDAS is what I used as well 196 - 182*0.5 = 196 - 91 = 105. But let's not stop there:
PEMDAS is what I used as well 196 - 182*0.5 = 196 - 91 = 105. But let's not stop there:
105 = 7*5*3 = 7!!
en.wikipedia.org
I saw a short video on this where a math guy copied the same thing from someone else and when he said the username, and I forgot the whole name, but I figured my initial reaction was wrong too because the user name had "factorial" as part of it. I knew there was something funny going on. It was the first that I had heard of double factorial myself. I just wanted to share it in the same way since my reaction was the same as all of yours.
Double factorial - Wikipedia
I saw a short video on this where a math guy copied the same thing from someone else and when he said the username, and I forgot the whole name, but I figured my initial reaction was wrong too because the user name had "factorial" as part of it. I knew there was something funny going on. It was the first that I had heard of double factorial myself. I just wanted to share it in the same way since my reaction was the same as all of yours.
Yes.
The order of operations is PEMDAS (or BODMAS, if you use British English). This means the result is 196 - 91 = 105.
Also, 7! Is 5040, if you were going for that too, so it still wouldn't be the answer.
Also, 7! Is 5040, if you were going for that too, so it still wouldn't be the answer.
Edit:
Okay, I see from a later reply of yours that you went for a double factorial, which I didn't catch. Good one!
Daemon Sophic
Avatar in flux
What do the exclamation points represent? Anything other than excitement in your answer?
Subduction Zone
Veteran Member
Nope. I followed the order of operations.
Shadow Wolf
Certified People sTabber & Business Owner
What year in reference are we asking? Afterall, PEMDAS is today but not yesterday and probably not tomorrow.
History and Background
5010.mathed.usu.edu
Subduction Zone
Veteran Member
Did you read the thread?
Shadow Wolf
Certified People sTabber & Business Owner
Yes. Just throwing out the but if history of the order of operations and what we say it is today hasn't always been.
A (!) Symbol means to do a factorial on the previous number in a math problem..
What are factorials, and how do they work?
The factorial of a whole number n, denoted as n!, is the product of all the whole numbers between 1 and n: 1×2×3×…×(n−1)×n. So 3! would be 1×2×3 = 6.
www.purplemath.com
exchemist
Veteran Member
I remember learning BODMAS at school in about 1964. My son learnt a slightly different mnemonic for the same thing in about 2014. So yeah 105.
Unless you are going to tell us that the * symbol for some reason is to be applied in a different order from x, in which I look forward to your explanation.
Google Gemini choked utterly. ChatGPT tried and failed
Q: In what numeric base is this equation true 196 - 182*0.5 = 7
A: To find out in what numeric base this equation is true, let's express it generically in base bb:
196b−182b×0.5b=7b196b−182b×0.5b=7b
First, let's convert the decimal numbers to base bb:
19610=1×b2+9×b1+6×b019610=1×b2+9×b1+6×b0 18210=1×b2+8×b1+2×b018210=1×b2+8×b1+2×b0 0.510=5×b−10.510=5×b−1
Now, let's substitute these values into the equation and solve for bb:
(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b
Simplify the equation:
(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b (1×b2+9×b1+6×b0)−(5×b−1×(1×b2+8×b1+2×b0))=7b(1×b2+9×b1+6×b0)−(5×b−1×(1×b2+8×b1+2×b0))=7b (1×b2+9×b1+6×b0)−(5×b−1×b2+40×b0+10×b−1)=7b(1×b2+9×b1+6×b0)−(5×b−1×b2+40×b0+10×b−1)=7b 1×b2+9×b1+6×b0−5×b1−40×b0−10×b−1=7b1×b2+9×b1+6×b0−5×b1−40×b0−10×b−1=7b
Now, equate the coefficients of corresponding powers of bb on both sides of the equation:
1b2−5b1+6b0−10b−1−40b0=71b2−5b1+6b0−10b−1−40b0=7
b2−5b+6−10b−40=7b2−5b+6−b10−40=7
b2−5b−34−10b=0b2−5b−34−b10=0
This equation can be solved to find the value(s) of bb that make the original equation true. However, without further context or constraints, it's difficult to determine the exact base in which the equation holds true. It's worth noting that solutions for bb may not always be unique, and some bases may not be practical or meaningful in certain contexts.
Q: In what numeric base is this equation true 196 - 182*0.5 = 7
A: To find out in what numeric base this equation is true, let's express it generically in base bb:
196b−182b×0.5b=7b196b−182b×0.5b=7b
First, let's convert the decimal numbers to base bb:
19610=1×b2+9×b1+6×b019610=1×b2+9×b1+6×b0 18210=1×b2+8×b1+2×b018210=1×b2+8×b1+2×b0 0.510=5×b−10.510=5×b−1
Now, let's substitute these values into the equation and solve for bb:
(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b
Simplify the equation:
(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b(1×b2+9×b1+6×b0)−(1×b2+8×b1+2×b0)×(5×b−1)=7b (1×b2+9×b1+6×b0)−(5×b−1×(1×b2+8×b1+2×b0))=7b(1×b2+9×b1+6×b0)−(5×b−1×(1×b2+8×b1+2×b0))=7b (1×b2+9×b1+6×b0)−(5×b−1×b2+40×b0+10×b−1)=7b(1×b2+9×b1+6×b0)−(5×b−1×b2+40×b0+10×b−1)=7b 1×b2+9×b1+6×b0−5×b1−40×b0−10×b−1=7b1×b2+9×b1+6×b0−5×b1−40×b0−10×b−1=7b
Now, equate the coefficients of corresponding powers of bb on both sides of the equation:
1b2−5b1+6b0−10b−1−40b0=71b2−5b1+6b0−10b−1−40b0=7
b2−5b+6−10b−40=7b2−5b+6−b10−40=7
b2−5b−34−10b=0b2−5b−34−b10=0
This equation can be solved to find the value(s) of bb that make the original equation true. However, without further context or constraints, it's difficult to determine the exact base in which the equation holds true. It's worth noting that solutions for bb may not always be unique, and some bases may not be practical or meaningful in certain contexts.
Subduction Zone
Veteran Member
Nah, it is the two, not just one, exclamation points.
Subduction Zone
Veteran Member
One exclamation point: factorial. Two exclamation points: double factorial.