Question

Please answer and Explain

Value of 9 - 6 + 3 × 2 + 1
(Answer should be 10)

Answer 1

Answer:

the answer to 9/3(2+1)?

9/3(2+1)

= 93(2+1)

Grouping symbols

= 93(3)

Simplify division because it's on the left.

= (3) (3)

= 9

Step-by-step explanation:

we take 9/3(2+1) to have multiple meanings, then we also need to have

9/3(2)+3 to mean 93(2)+3.

Clearly, in the expression 9/3(2+1) , multiplication follows the three as obvious by the left parenthesis following the 3.

Do 9/3+1 and 9÷3+1 mean the same, or are they different? They are the same.

There is a distinction between

93+1, and the following

9/3+1 and 9÷3+1 .

While

93+1 = 94,

9/3+1 = 9÷3+1 because both equal 3 + 1 = 4

However, if we, instead of writing 9/3(2+1), write 93(2+1), we help the reader to not confuse the order of operations. These expressions say the same thing: The 9 and the 3 are to be divided with one another.

Multiplication does not bind the 3 to the (2+1) because the order from left to right ensures that the division is done first.

Just try these expressions in a scientific calculator that has parentheses and order of operations built in, and you will see the results are consistent with what I've written.