Magnitude Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Find the magnitude (absolute value) of each: ∣−9∣|{-9}|, ∣7∣|7|, ∣0∣|0|.

Solution

  1. 1
    ∣−9∣=9|-9| = 9 because −9-9 is 9 units from zero on the number line.
  2. 2
    ∣7∣=7|7| = 7 because 77 is already 7 units from zero (positive, so unchanged).
  3. 3
    ∣0∣=0|0| = 0 because 0 is 0 units from zero.

Answer

∣−9∣=9,∣7∣=7,∣0∣=0|-9|=9, \quad |7|=7, \quad |0|=0
The magnitude (absolute value) measures distance from zero, ignoring direction. It is always non-negative. Negative inputs have their sign removed; positive and zero inputs are unchanged.

About Magnitude

Magnitude measures the size or length of a quantity — for a vector (a, b), it is sqrt(a^2 + b^2). For a single number, magnitude is its absolute value: how far it is from zero, ignoring sign or direction.

Learn more about Magnitude →

More Magnitude Examples

Example 2 medium

Which has greater magnitude: [formula] or [formula]? Then determine which is greater as a signed num

Example 3 easy

Evaluate [formula].

Example 4 medium

Solve [formula]. How many solutions are there?

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