Labeling elementary arithmetic as a "nice problem" is an overstatement for such a routine calculation. While it serves as a clear tutorial, it lacks the intellectual depth one would expect from a genuine mathematical challenge.
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Deep Dive
A Nice Mathematics ProblemAdded:
Hello. You're welcome to solve this math problem of 10 minus 3 times 5 bracket 4 squared divided by 4 bracket.
Now, to solve this problem of orders of operation, let's solve by using the rule which is called BODMAS.
So, we'll follow these orders from left to right.
Now, B is bracket. Into our problem, we have this bracket here. So, this will be the first step. Whereas, inside the bracket we have operations which are exponents and division.
So, order order which are exponents is inside the bracket, so it will be dealt in the first step inside the bracket.
Division, division we have division here, but is inside the bracket. So, we'll be dealing with this in the first step.
Multiplication, we have this multiplication of 4 5 times times here this operation is inside the bracket. So, this will be the second step, multiplication outside the bracket. Addition, we have this addition here outside the bracket.
So, it will be the third step. Subtraction, we have this subtraction outside the bracket, so it will be the fourth step.
Now, let's deal with here operation inside the bracket as the first step.
Now, here we have exponents and division. Into operation into operation inside the bracket, it it start with order which are exponents then division.
So, here 4 squared 4 squared is 16, so it will be 10 minus 3 plus 5 bracket 4 squared is 16 divided by 4 bracket.
Then division 16 divided by 4, so it will be 10 minus 3 plus 5 bracket 16 divided by 4, it is 4 bracket.
Then, we're already with all operation inside the bracket. Now, multiplication 5 times 4 the second step. So, it will be 10 minus 3 plus 5 times 4, it is 20.
Then, the third step is addition.
Now, into addition we have this positive 10 and here 20.
So, it will take 10 plus 20.
10 plus 20, it is 30.
Then, minus 3. So, we deal with addition.
Now, let's deal with subtraction. Of 30 minus 3 is equal to 27.
So, this is our final answer.
Now in the next step, let's solve this problem by using another method.
So, from our problem which is 10 10 minus 3 then plus 5 bracket 4 squared divided by 4 bracket.
Now, into here let's solve by using the rule which is called PEMDAS.
So, follow these orders from left to right.
Now, here P parenthesis, we have this parenthesis here.
So, this will be the first step. All operations inside the parenthesis whereas we have exponents and division.
Then, here exponents the exponents, we have exponents but is inside the first step of parenthesis.
Multiplication, here multiplication and division according to which start first.
Division here is here division is inside the parenthesis.
So, this will cancel. So, it will left with multiplication which is outside the parenthesis here 5 times this bracket.
So, this will be the second step.
Addition and subtraction according to which start first outside the parenthesis.
Now, here it start with subtraction from our problem then addition.
According to which start first. Now, here it start with subtraction, so subtraction will be the third step then addition will be the fourth step.
Now, here let's start with parenthesis.
Inside parenthesis, we have 4 squared. 4 squared, we start with exponent then division according to the rule. It start exponent then MD division.
So, here it will be 10 minus 3 plus 5 bracket exponents 4 squared, it is 16 then divided by 4 bracket.
Now, dealing complete this step of inside the parenthesis or brackets. So, it will be 10 minus 3 plus 5 bracket.
Here 16 divided by 4, it is 4 bracket.
Already with parenthesis all operation inside the parenthesis.
Now, the second step is multiplication of 5 times 4.
So, it will be 10 minus 3 plus 5 times 4, it is 20.
Then, the third step is subtraction.
According to which start first. Now, here it start with subtraction of 10 minus 3, it is 7 then plus 20.
Then, the last step is addition of 7 plus 20 is equal to 27. So, this is our final answer.
Please like the video and comment what is your answer and which method did you use.
Thank you for watching.
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