Question

How do you translate “ $5{m^2} + 2$ “ into a verbal expression ?

Answer 1

Hint: In order to determine the verbal expression from the above mathematical expression , first we have to understand the mathematical expression carefully . Split the expression and take out the terms used and try to give the meaningful name to the operations used . Like in the given question , the term ‘ increased ‘ is a term which we generally use in the place of the addition ,we can use that . A ‘ Number ‘ term is used for defining an operand , to which we simply call it ‘ variable ’ and here variable name is already given to us ‘ $m$ ’ .

Complete step by step answer:
In order to write any mathematical expression from some words and figures , we must first find the relationship and the quantities specified .
Here in this question the relation between a number let suppose $m$ is that it's saying that something number $m$ in the form of variable taken here as per question $5{m^2} + 2$.
We will start framing verbal statements from the first term $5{m^2}$.
So, first there is a number ‘ $m$ ‘ multiplied by itself that means , we can say verbally – “the square of m “ .
Now 5 is multiplied to the ${m^2}$or square of m . So , we can use here the term “ Times ” and could be verbally stated as “ Five times the square of m ” .
Now , here Another term of the question comes “ +2 ” we can replace the addition $' + '$ symbol with the “ statement “ increased by “ and the number 2 must be written in words as it is a verbal statement , so – “ two ”
So , now our question has become perfect to say that “ Five times the square of number m , increased by two “. It can be written mathematically as $5{m^2} + 2$ same as the question given.

Note: Understand the mathematical expression carefully .
Make choice of appropriate terms as per the operations and symbols used .
If an unknown number is given then try to suppose a variable name to that number .
Try to keep things clear and distinct by solving the question part by part or term wise .
Split the expression and take out the terms used and try to give the meaningful name to the operations used .