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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 Kumar. That is Kathir height is two times larger than Kumar'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 Kumar is \(x\)
 
Therefore Kathir height \(=\) 2×HeightofKumar=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: Here the unknown value \(x\) is represented in verbal statement as some number or a number].
 
Addition keywords: Sum, total, added, increased, more than, etc.
 
Operation PhraseExample -Verbal statementAlgebraic statements
 Addition (+)The sum ofThe sum of a number and ten.x+10
 PlusA number plus ten.x+10
 Increased byten increased by some number.10+x
 
Subtraction  keywords: Minus, Decreased by, less than, the difference of, subtracted, etc.
 
OperationPhrasePhrase example- Verbal statementAlgebraic statements
Subtraction (-)
Subtracted fromTwelve subtracted from a number.x12
  Decreased byTwelve decreased by some number.x12
 The difference ofThe difference between Twelve and some number.12x
 
 
Multiplication keywords: Multiplied by, The product of, Times, Thrice, Twice etc.
  
OperationPhrasePhrase example -Verbal statementAlgebraic statements
MultiplicationMultiplied bySome number multiplied by eight.8x
 The product ofThe product of negative eight.8x
 TimesEight times a number.8x
 
 
Division keywords: Divided by, The ratio of, The quotient of, etc.
  
OperationPhrasePhrase example -Verbal statementAlgebraic statements
DivisionDivided byFour divided by some number.x4
 The ratio ofThe ratio of Four to a number.4x
 
Using these above, we can also make another operation that is,
 
Equals keywords: Equals, Is the same as, yields.
 
OperationPhrasePhrase example -Verbal statementAlgebraic statements
EqualsEqualsTwelve equals to less than ten number.12=10x
 Is the same asTwelve is the same as thrice the number.  12=3x