Give (a) the additive inverse and (b) the absolute value of each number. 0.16

Verified step by step guidance

1. Step 1: Understand the concept of additive inverse. The additive inverse of a number is what you add to it to get zero.
2. Step 2: For a number $x$, the additive inverse is $-x$. So, for 0.16, the additive inverse is $-0.16$.
3. Step 3: Understand the concept of absolute value. The absolute value of a number is its distance from zero on the number line, without considering direction.
4. Step 4: The absolute value of a number $x$ is denoted as $|x|$. For 0.16, the absolute value is $|0.16|=0.16$.
5. Step 5: Summarize the findings: The additive inverse of 0.16 is $-0.16$ and the absolute value is $0.16$.

Key Concepts

Additive Inverse

The additive inverse of a number is the value that, when added to the original number, results in zero. For any real number 'x', its additive inverse is '-x'. For example, the additive inverse of 0.16 is -0.16, since 0.16 + (-0.16) = 0.

Absolute Value

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted by vertical bars, such as |x|. For instance, the absolute value of 0.16 is simply 0.16, as it is already a positive number.

Real Numbers

Real numbers include all the numbers on the number line, encompassing both rational numbers (like fractions and integers) and irrational numbers (like √2 and π). Understanding real numbers is essential for operations like finding additive inverses and absolute values, as these concepts apply to all real numbers.