Final answer:
The sum '8+(4x2)' does not equal '8x6'. After performing multiplication before addition, we find that 8+(4x2) = 16, which is not equal to 8x6 = 48. Therefore, the answer is NO.
Step-by-step explanation:
The student's question asks whether the sum 8+(4x2) equals 8x6. First, let's solve the expression 8+(4x2). We will follow the order of operations, which says that we should perform multiplication before addition. The product of 4 and 2 is 8. Now, add this to the original 8 to get a sum of 16 (8+8=16).
On the other hand, 8x6 is equal to 48 since multiplying eight by six gives us forty-eight. Comparing the two results, 16 and 48, we can clearly see that they are not equal. Therefore, the correct answer to whether 8+(4x2) equals 8x6 is 'NO'.
To understand the order of operations further, examples could include calculations that involve more complex combinations of addition, subtraction, multiplication, and division, all of which must be performed in a specific sequence usually remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).