Which of the following correctly uses absolute value to show the distance between -80 and 15? A. abs(-80 - 15) = abs(-95) = -95 units B. abs(-80 + 15) = abs(-65) = 65 units C. abs(-80 - 15) = abs(-95) = 95 units D. abs(-80 + 15) = abs(-65) = -65 units

sodni3

sodni3

Answered question

2021-02-12

Which of the following correctly uses absolute value to show the distance between -80 and 15?
A.
|8015|=|95|=95 units
B.
|80+15|=|65|=65 units
C.
|8015|=|95|=95 units
D.
|80+15|=|65|=65 units

Answer & Explanation

tafzijdeq

tafzijdeq

Skilled2021-02-13Added 92 answers

Step 1
Our aim is to calculate the distance between −80 and 15 using absolute value.
Step 2
The distance between any two points a and b on th enumber line is |ab|or|ba|
The distance between - 80 and 15 is |8015|=|95|, but absolute value changes a negative number into its positive additive inverse.
|8015|=|95|=95 units.
Hence, option (c) is correct.

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