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3. Which number is the same distance away from -12 as 2?

A. -14
B. -10
C. -5
D. -26

Sagot :

GinnyAnsweridn
To determine which number is the same distance away from -12 as it is from 2, we need to perform the following steps:

1. Calculate the distance between -12 and 2:
[tex]\[ \text{Distance} = |2 - (-12)| \][/tex]
Simplifying this expression:
[tex]\[ = |2 + 12| = |14| = 14 \][/tex]
So, the distance between -12 and 2 is 14.

2. Check each of the given options to see which one is 14 units away from -12:

- Option (a) -14:
[tex]\[ \text{Distance} = |-14 - (-12)| = |-14 + 12| = |-2| = 2 \][/tex]
The distance is 2, not 14.

- Option (b) -10:
[tex]\[ \text{Distance} = |-10 - (-12)| = |-10 + 12| = |2| = 2 \][/tex]
The distance is 2, not 14.

- Option (c) -5:
[tex]\[ \text{Distance} = |-5 - (-12)| = |-5 + 12| = |7| = 7 \][/tex]
The distance is 7, not 14.

- Option (d) -26:
[tex]\[ \text{Distance} = |-26 - (-12)| = |-26 + 12| = |-14| = 14 \][/tex]
The distance is 14, which matches our required distance.

Thus, the number -26 is the same distance away from -12 as 2. The correct answer is:
(d) -26
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