Question

How do you translate $''8$ more than a number $x''$ into a Mathematical expression?

Answer 1

Hint: The words “more than” implies the operation addition. If a number is more than another number, then the former is greater than the latter. Also, A number more than another number will give the sum of these two numbers.

Complete step by step solution:
Consider the expression we need to translate into a Mathematical expression,
$''8$ more than a number $x''$
We know that any physical situation can be translated into a Mathematical expression. We only need to understand the meaning of each word and know the Mathematical counterpart of every word.
For example, by saying a number times another number, we mean the product of the former and the latter.
By saying $3$ out of $6,$ we mean the division of $3$ by $6.$
If we say that a number $p$ less than a number $q,$ we mean there is a number $r$ which is obtained by subtracting $p$ from the number $q.$ That is, $r=q-r.$
Similarly, a number $m$ more than a number $n$ implies a new number $k$ which is obtained by adding $m$ to the number $n.$ That is, $k=m+n.$
Now, let us suppose that the given statement is $y.$
That is, $y=8$ more than a number $x.$
So, we know that $y$ is a real number in the number system.
We have a number $x.$
Also, it is given that $y$ is $8$ more than $x.$
That means, to the given number $x,$ we add $8$ to get $y.$
So, we can say, $y=x+8.$

Hence the Mathematical expression of the given statement is $y=x+8.$

Note: Here, $x$ is a variable. So, it can be any number. The number $y$ is also a variable that depends on $x.$ Therefore, $x$ is the independent variable and $y$ is its dependent variable.