This tutorial effectively demystifies a common cognitive trap by reinforcing the horizontal priority of operations. It is a necessary exercise in maintaining mathematical rigor against intuitive errors.
Deep Dive
Prerequisite Knowledge
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Deep Dive
Can You Beat This Math Challenge?Added:
Hey guys, welcome to this video. In this video we want to find the value of this expression.
5 / 1/5 * 5 Are you ready to solve? Let's go ahead and get this started.
First we do this multiplication, 1/5 * 5.
We can easily cancel this five and this five. So here we have just one.
And the 5 / 1 equals 5.
But this answer is not correct.
Because according to the order of operations, multiplication and division have equal priority and we have to work from left to right.
So here first we have to do this division, then this multiplication.
If we do this multiplication before this division, it is wrong.
So first we have to do this division, 5 / 1/5.
According to the KCF rule, K stands for keep, C stands for change, and the F stands for flip. We can write keep the first fraction, change division to multiplication, and flip the second fraction.
And here we have times 5. Okay?
5 * 5 gives us 25.
So we have 25 * 5. Okay?
5 * 5 gives us 25. So we write 5 here and carry two here.
5 * 2 = 10 and the 10 + 2 = 12. So, we have 125 and this is our final answer to this problem.
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