Question

question 3 (2.5 points)
what is the definition of the term absolute value?
the absolute value of a number is the number itself.
the absolute value of a number is always positive.
the absolute value of a number is its negative opposite number.
the absolute value of a number is the distance between zero and the number on the number line.

Explanation:

Analyze the definition of absolute value

The absolute value of a real number represents its distance from zero on the number line, which is always non-negative.

Evaluate the given options

• Option 1: "The absolute value of a number is the number itself." (Incorrect for negative numbers)
• Option 2: "The absolute value of a number is always positive." (Incorrect because the absolute value of 0 is 0, which is not positive)
• Option 3: "The absolute value of a number is its negative opposite number." (Incorrect)
• Option 4: "The absolute value of a number is the distance between zero and the number on the number line." (Correct definition)

Answer:

• The absolute value of a number is the number itself.
• The absolute value of a number is always positive.
• The absolute value of a number is its negative opposite number.
• The absolute value of a number is the distance between zero and the number on the number line. (Correct answer)