Two numbers have an absolute value of 16. Which of the two numbers is greater than 12?
The absolute value of -16 is 16 and the absolute value of 16 is 16. So we know that 16 is greater than 12 but -16 is not.
Answer:
16
Step-by-step explanation:
Given : Two numbers which have an absolute value of 16
To find: Which of the two numbers is greater than 12
Solution:
Absolute Value Function :
We know that for any number x,
\(\left | x \right |=x\,;\,,x\geq 0\\\left | x \right |= -x\,;\,,x< 0\)
For numbers 16 and - 16:
As -16 < 0, \(\left | -16 \right |=-(-16)=16\)
As 16 > 0 , \(\left | 16 \right |=16\)
\(\left | 16 \right |=16\,,\,\left | -16 \right |=16\)
Here, \(16> 12\) and \(-16< 12\)
So, out of numbers 16 and - 16 such that \(\left | 16 \right |=\left | -16 \right |=16\) , 16 is greater than 12.