Value & Unknown Variable Practice Problems | Math Equations

The absolute value of a number is always its positive value. It represents the distance of the number from zero on the number line, regardless of direction. The absolute value of any negative number is its opposite positive number.

Step 1: Identify the number to find the absolute value of: $-7\frac{1}{2}$

Step 2: Change the negative sign to positive: $7\frac{1}{2}$

Hence, the absolute value of $-7\frac{1}{2}$ is $7\frac{1}{2}$.

To find the absolute value of $0.8$, we will use the definition of absolute value, which states:

• If a number $x$ is positive or zero, then its absolute value is the same number: $|x| = x$.
• If a number $x$ is negative, then its absolute value is the positive version of that number: $|x| = -x$.

Let's apply this to our problem:

Since $0.8$ is a positive number, its absolute value is simply itself:

$|0.8| = 0.8$

Therefore, the absolute value of $0.8$ is $0.8$.

Looking at the given answer choices:

• Choice 1: "There is no absolute value" is incorrect, as every real number has an absolute value.
• Choice 2: $-0.8$ is incorrect, because absolute values are never negative.
• Choice 3: $0$ is incorrect, as the number is not zero.
• Choice 4: $0.8$ is correct, as it matches the calculated absolute value.

Thus, the correct choice is $0.8$.

Therefore, the solution to the problem is $0.8$.

The absolute value of a number is the positive form of that number, representing its distance from zero on the number line.

Step 1: Identify the number whose absolute value is needed: $-4\frac{3}{4}$

Step 2: Remove the negative sign from the number: $4\frac{3}{4}$

Thus, the absolute value of $-4\frac{3}{4}$ is $4\frac{3}{4}$.

The absolute value of a number is the distance of the number from zero on a number line, without considering its direction. For the number $-25$, the absolute value is $25$ because it is 25 units away from zero without considering the negative sign.

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!