Question

What is the product of 6 and q?

Answer 1

Hint: Here, we have been asked to write the product of a constant and a variable. We will read out the sentence and then convert it into a mathematical expression. Also, since it is a case of multiplication, we will take care of the sign of the final product by carefully taking the sign of each term individually into consideration.

Complete step by step answer:
The statement from the question is, “the product of 6 and q”. We will now understand what are the different parts of the sentence.
At first, we have the operator as “product”. We know that the product of any two entities is the result obtained by multiplying these two entities. So, our operator is known and it is multiplication \[(\times)\] .
Now secondly, we have our constant as ‘6’. It is a positive integer and the first term to be operated upon.
And lastly, we have the second term on whom the operator, multiplication shall be applied. This is a variable ‘q’.
Now, that we have broken our alphabetical sentence to get its meaning, we can calculate the resultant mathematical expression as follows:
The product of ‘6’ and ‘q’ is equal to:
$\begin{align}
  & =6\times q \\
 & =6q \\
\end{align}$
We can also represent multiplication of two terms by just writing them together.
Thus, our mathematical expression comes out to be 6q.
Hence, the product of 6 and q is 6q.

Note: One should always read the word statement twice or even more number of times, as it is the base of our solution. Also, constants are the terms that have a fixed value, for example: 5, 6, 7, etc. And variables are the terms that can take any arbitrary value, like: x, y, a, b, c, etc. There can be three ways to represent multiplication, i.e. using \[\times\], . and writing terms together. So, we can have the answer as \[6\times q\], 6.q or 6q.