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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:
Arun is twice taller than Kumar. That is Arun 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 Arun height \(=\) .
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 of | The sum of a number and three | |
| Plus | A number plus three | ||
| Increased by | three increased by some number. |
Subtraction keywords: Minus, Decreased by, less than, the difference of, subtracted, etc.
Operation | Phrase | Phrase example - Verbal statement | Algebraic statements |
Subtraction \((-)\) | Subtracted from | Four subtracted from a number. | |
| Decreased by | Four decreased by some number. | ||
| The difference of | The difference between Four and some number. |
Multiplication keywords: Multiplied by, The product of, Times, Thrice, Twice etc.
Operation | Phrase | Phrase example - Verbal statement | Algebraic statements |
| Multiplication | Multiplied by | Some number multiplied by ten. | |
| The product of | The product of negative ten. | ||
| Times | Ten times a number. |
Division keywords:Divided by, The ratio of, The quotient of, etc.
Operation | Phrase | Phrase example - Verbal statement | Algebraic statements |
| Division | Divided by | Eight divided by some number. | |
| The ratio of | The ratio of Eight to a number. |
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 |
| Equals | Equals | Four equals to less than three number. | |
| Four is the same as thrice the number. |
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