Absolute Value Concepts

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What is the absolute value of a number?
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The absolute value of a number is its distance from zero on the number line, regardless of direction.
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What is the absolute value of -7?
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The absolute value of -7 is 7.
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If the absolute value of a number is 10, what are the possible original numbers?
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The original numbers could be 10 or -10.
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How do you denote the absolute value of a number 'x'?
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The absolute value of 'x' is denoted as |x|.
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What is |0| equal to?
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|0| equals 0 because zero is zero units away from itself on the number line.
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What is the absolute value of 15 minus the absolute value of -5?
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The absolute value of 15 is 15, and the absolute value of -5 is 5, so 15 - 5 = 10.
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What happens to a negative number inside absolute value symbols?
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A negative number turns into a positive number, reflecting its distance from zero.
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Solve: |-12| + |7|.
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|-12| is 12 and |7| is 7, so the answer is 19.
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What is the absolute value of |3 - 5|?
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3 - 5 equals -2, and |-2| is 2.
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Compare: Which is greater, |-6| or |3|?
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|-6| is 6 and |3| is 3. So |-6| is greater.
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What is the absolute value of the expression |–x| when x is positive?
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If x is positive, then –x is negative, but |–x| changes it back to positive, making it equal to x.
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True or False: The absolute value of any real number is always positive.
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True, except for the absolute value of zero, which is zero.
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Find the absolute value of a sum: |5 + (-8)|.
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5 + (-8) equals -3, so the absolute value |–3| is 3.
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Solve for x if |x| = 9.
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x could be 9 or -9.
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When graphing, what does the absolute value symbol tell us about the number's position?
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It tells us the number's distance from zero, not its direction.
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