Give (a) the additive inverse and (b) the absolute value of each number.6

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 a number to get zero.
2. Step 2: For any number \( x \), the additive inverse is \( -x \). So, for the number 6, the additive inverse is \( -6 \).
3. Step 3: Understand the concept of absolute value. The absolute value of a number is its distance from zero on the number line, regardless of direction.
4. Step 4: The absolute value of a number \( x \) is denoted as \( |x| \). For the number 6, the absolute value is \( |6| \).
5. Step 5: Since 6 is a positive number, its absolute value is simply 6.

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', the additive inverse is '-x'. For example, the additive inverse of 6 is -6, since 6 + (-6) = 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 both 6 and -6 is 6, as both are 6 units away from zero.

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.