Find the absolute value of -0.99.
Answer (2)
The problem asks to find the absolute value of -0.99.
Recall that the absolute value of a number is its distance from zero, and is always non-negative.
Since -0.99 is negative, its absolute value is -(-0.99) = 0.99.
Therefore, the absolute value of -0.99 is 0.99 .
Explanation
Understanding the Problem We are asked to find the absolute value of -0.99. The absolute value of a number is its distance from zero.
Applying the Definition of Absolute Value The absolute value of a number x , denoted as ∣ x ∣ , is defined as x if x ≥ 0 , and − x if x < 0 . Since -0.99 is less than 0, we use the definition ∣ x ∣ = − x when x < 0 .
Calculating the Absolute Value Therefore, the absolute value of -0.99 is − ( − 0.99 ) . A negative times a negative is a positive, so − ( − 0.99 ) = 0.99 .
Final Answer The absolute value of -0.99 is 0.99.
Examples
Absolute values are used in many real-world applications, such as calculating errors or deviations from a target value. For example, if a machine is supposed to cut a metal rod to 5 cm, but it cuts it to 4.9 cm, the error is |4.9 - 5| = |-0.1| = 0.1 cm. Absolute values ensure that we are only concerned with the magnitude of the error, not its direction.
The absolute value of -0.99 is 0.99, as it represents the distance from zero, which is always a non-negative value. This is found by changing the negative sign to positive. Therefore, ∣ − 0.99∣ = 0.99 .
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