Question

How do you write “$10$ subtracted from a number” as an algebraic expression?

Answer 1

Hint: In this question we have been given logical statements which have to write in the form of an algebraic expression. We will use the properties of algebra to get the required solution.

Complete step-by-step solution:
We have the statement given to us as: “$10$ subtracted from a number”
If we breakdown this statement into its constituents we can say:
We have a number $10$ which is a positive number,
We have the algebraic property of subtraction. In algebra subtraction is done using the symbol$ - $, the number which has to subtracted will be on the right side of the subtraction sign and the number from which it is to be subtracted should be on the left side of the subtraction sign.
We also know that the number is not mentioned therefore using algebra we can consider the unknown number to be $x$.
Therefore, using algebra, the statement can be written as: $x - 10$

$x-10$ is the required answer.

Note: It is to be remembered to always inverse the order for any given statement that has the “less than” or “subtracted from” structure.
“A number less than $5$ can be written in the algebraic form as $5 - x$.
It is also be remembered that the word “total” means when we add all the values and set an equal to property, for example:
“The total of $5$ and $7$ is $12$” can be written in the algebraic form as $5 + 7 = 12$
The phrases “greater than” is different from the phrase “is greater than”, where the phrase “greater than” represents addition, the phrase “is greater than” represents an inequality. For example:
“$6$ greater than $5$” represents $6 + 5$ and $6$ is greater than $5$” represents $6 > 5$.