Mathematical brain teasers are a great way to challenge our thinking and sharpen our problem-solving skills. Today, we delve into a seemingly simple yet tricky expression: ( 6^2/3(2)/6 \). At first glance, it might appear straightforward, but let's break it down step by step to uncover its true value.
Check out the brain teaser here:
The comments are varied with many saying 4 and others saying 1
Step-by-Step Solution
Step 1: Understand the expression
The given expression is:
[ 6^2 / 3(2) / 6 ]
Here, we need to carefully consider the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
Step 2: Evaluate the exponent
First, calculate the exponent (6^2):
{{/usCountry}}First, calculate the exponent (6^2):
{{/usCountry}}[ 6^2 = 36 ]
So, the expression now looks like:
[ 36 / 3(2) / 6 ]
Step 3: Handle multiplication and division from left to right
Next, we move on to the division and multiplication operations. According to PEMDAS, we handle multiplication and division from left to right.
First, divide 36 by 3:
[ 36 / 3 = 12]
The expression now is:
[ 12*2 / 6 ]
Then, multiply 12 by 2:
[12*2 = 24]
Now, we have:
[24 / 6]
Finally, divide 24 by 6:
[ 24 / 6 = 4 ]
Final answer
The value of the expression ( 6^2 / 3(2) / 6 \) is 4.
This brain teaser is a great example of why it’s essential to follow the order of operations carefully. Missing a step or misinterpreting the sequence can lead to incorrect results. By breaking down the problem systematically, we can confidently solve it and reinforce our understanding of fundamental principles in Mathematics. (Also Read: You’re a puzzle master if you can solve this age-related brain teaser in just five seconds)
Feel free to share this brain teaser with friends and see how many of them can get the correct answer.
Brain teaser: You only have 30 seconds to solve this intriguing maths puzzle. Can you solve it?