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Julia used absolute value to find the distance between 0 and 6 on a number line. She then wrote a similar statement to represent the distance between 0 and −6. Below is her work. Is it correct? Explain.
|6| = 6 and |−6| = −6

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Answer:

Absolute value function.    

Step-by-step explanation:

  • The absolute value of a number helps us to calculate the distance between a number and zero, provided the direction does not play an important role.
  • The absolute value of a number can never be negative since it is the value of distance.
  • The absolute value function is defined as:

[tex]\mid a \mid = a, a > 0\\~~~~~ = -a, a < 0[/tex]

So, it is correct to write the statement that distance between 0 and 6 is equal to distance between 0 and -6.

[tex]\mid 6 \mid = 6\\\mid -6 \mid = -(-6) = 6[/tex]

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