Theory:

Objective:
 
To learn about the verbal statement and algebraic statements.
  
Verbal statement and Algebraic statements:
   
Do you know the difference between the verbal statement and algebraic statements?
 
Let's see an example to understand this clearly.
Example:
Kathir is twice taller than Krishna. That is Kathir height is two times larger than Krishna's height. Now, this is known as a verbal statement.
 
If you write the above verbal statement in an algebraic statement we get,
 
Let the height of the Krishna is \(x\).
 
Therefore Kathir height \(=\) 2×HeightofKrishna=2×x=2x.
 
In the above example, we understood that normally we use the verbal statement to mention any mathematical operation, then we translate this verbal statement to an algebraic statement to find the unknown value.
Now let's see a few examples of how we are using the verbal and algebraic statement in the mathematical operation.
 
[Note: In a verbal statement the unknown value \(x\) is represented as some number or a number].
 
Addition keywords: Sum, total, added, increased, more than, etc.
 
Operation
Phrase
Example -Verbal statement
Algebraic statements
 Addition \((+)\)The sum ofThe sum of a number and sevenx+7
 PlusA number plus sevenx+7
 Increased byseven increased by some number.7+x
 
Subtraction  keywords: Minus, Decreased by, less than, the difference of, subtracted, etc.
 
Operation
Phrase
Phrase example - Verbal statement
Algebraic statements
Subtraction \((-)\)
Subtracted fromFour subtracted from a number.x4
  Decreased byFour decreased by some number.x4
 The difference ofThe difference between Four and some number.4x
 
Multiplication keywords: Multiplied by, The product of, Times, Thrice, Twice etc.
 
Operation
Phrase
Phrase example - Verbal statement
Algebraic statements
MultiplicationMultiplied bySome number multiplied by twenty.20x
 The product ofThe product of negative twenty.20x
 TimesTwenty times a number.20x
 
Division keywords:Divided by, The ratio of, The quotient of, etc.
 
Operation
Phrase
Phrase example - Verbal statement
Algebraic statements
DivisionDivided bySix divided by some number.x12
 The ratio ofThe ratio of Six to a number.6x
 
Using these above, we can also make another operation that is,
 
Equals keywords: Equals, Is the same as, yields.
 
Operation
Phrase
Phrase example - Verbal statement
Algebraic statements
EqualsEqualsFour equals to less than seven number.4=7x
  Four is the same as thrice the number. 4=3x