Question

How do you simplify \[\left| { - 24} \right|\]?

Answer 1

Hint: Here the equation is constant value which is a negative value. we have to solve the given modulo. Since the expression involves the modulus, by using the definition of modulus or absolute value, we will get the simplification as $ - \left( {value} \right) $ because values in our case are negative .

Complete step by step solution:
The absolute value or modulus of a real function $ f\left( x \right) $, it is denoted as $ \left| {f\left( x \right)} \right| $, is the non-negative value of $ f\left( x \right) $ without considering its sign.
Now consider the given question \[\left| { - 24} \right|\].
In this case, in place of a function of some variable $ x $ ,we have the absolute value $ - 24 $ inside the modulo which we can see is clearly a negative number.
The definition for absolute values inside a modulo is exactly the same for the Real constant values.
Since the value inside the modulo is negative, as per the definition Value $ < 0 $ ,so the result will be
 $
 \Rightarrow \left| { - 24} \right| \\
 \Rightarrow - \left( { - 24} \right) \;
 $
As we know negative multiplied with negative becomes positive i.e.
 $ \left( - \right) \times \left( - \right) = + $
 $ \Rightarrow 24 $
Therefore, the simplification of \[\left| { - 24} \right|\]is equal to $ 24 $
So, the correct answer is “24”.

Note: 1. The algebraic equation or an expression is a combination of variables and constants, it also contains the coefficient. The alphabets are known as variables. The $ x,y,z $ etc., are called as variables. The numerals are known as constants. The numeral of a variable is known as co-efficient. we must know about the modulus definition.
2. If we have some function $ f\left( x \right) $ inside modulo . let it be $ \left| {f\left( x \right)} \right| = \left| {10x} \right| $
We get the simplification as $ - 10x $ and $ 10x $ as $ x $ is not determined.