contestada

Nikki says that a number and its absolute
value will always combine to make zero. Explain
why Nikki is incorrect.

Respuesta :

Answer:

The absolute value of any number will always be positive meaning that if you start with a positive number the sum of its absolute value will not be zero. Although if you start out with a negative number the sum of its absolute value will be zero.

Step-by-step explanation:

Nikki is incorrect because: if you combine a number and its absolute value, it won't give you zero.

The absolute value of a number is the positive value of that number. i.e.:

If [tex]-a[/tex] is a number, absolute value of [tex]-a[/tex] is [tex]a[/tex].

Thus:

  • Absolute value of a negative number is the positive value of that number
  • Absolute value of a positive number is the positive value of that number.

Therefore, using 5 as an example:

Absolute value of positive 5 (5) = 5.

Combine positive 5 (+5) with its absolute value (5), that is:

5 + 5 = 10

Therefore, Nikki is wrong because if you combine a positive number with its absolute value, it won't give you zero.

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