Examples with solutions for Absolute value: Solving the Absolute value

Exercise #1

Determine the absolute value of the following number:

18= \left|18\right|=

Video Solution

Step-by-Step Solution

The "absolute value" can be viewed as the distance of a number from 0.
Therefore, the absolute value will not change the sign from negative to positive, it will always be positive.

Answer

18 18

Exercise #2

2= \left|-2\right|=

Video Solution

Step-by-Step Solution

When we have an exercise with these symbols || we understand that it refers to absolute value.

Absolute value does not relate to whether a number is positive or negative, but rather checks how far it is from zero.

In other words, 2 is 2 units away from zero, and -2 is also 2 units away from zero,

Therefore, absolute value essentially "zeroes out" the negativity of the number.

 

|-2| = 2

 

Answer

2 2

Exercise #3

1914= \left|-19\frac{1}{4}\right|=

Video Solution

Step-by-Step Solution

These signs in the exercises refer to the concept of "absolute value",

In absolute value we don't have "negative" or "positive", instead we measure the distance from point 0,

In other words, we always "cancel out" the negative signs.

In this exercise, we'll change the minus to a plus sign, and simply remain with 19 and a quarter.

And that's the solution!

Answer

1914 19\frac{1}{4}

Exercise #4

3= \left|3\right|=

Video Solution

Answer

3 3

Exercise #5

0.8= \left|0.8\right|=

Video Solution

Answer

0.8 0.8

Exercise #6

x= \left|x\right|=

Video Solution

Answer

x x

Exercise #7

32= \left|3^2\right|=

Video Solution

Answer

9 9