Question

What is the product of `(2*3)*7`?

Answer 1

It is `42`. See explanation for details.

Explanation:

If we are talking about order of doing mathematical operations you can remember an acronym PEDMAS. The letters of this acronym stand for the names of the operations:

P - parenethesis, first we calculate everything what is in parenethesis.
E - exponents The second thing to calculate is powers
D and M - division and multiplication - third is division and multiplication. If both are present in the expression we calculate them as we see them from left to right.
A and S - addition and substraction. As in division and multiplication if both operations are together we calculate them from left to right.

In this example we only have 2 multiplications, but one of them is in brackets, so according to the rule we have to calculate `2*3` first (P).
After this calculation our expression becomes `6*7` which is only one multiplication (M). After that we get the result.

`(2*3)*7=6*7=42`