Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Aug 23, 2023

Find the absolute value of each number: $|-5|-5$ , $|4.5|$ , $|-5.10|$ , $\left|-2 \frac{3}{4}\right|$ .

STEP 1

Assumptions1. The absolute value of a number is its distance from zero on the number line, regardless of direction.. The absolute value of a number is always non-negative.3. The absolute value of a number is represented by two vertical bars around the number, like this |number|.
4. If the number is negative, the absolute value is the number without the negative sign.5. If the number is positive or zero, the absolute value is the number itself.

STEP 2

First, let's find the absolute value of -5 in the expression $|-5|-5$ .
$|-5| =5$

STEP 3

Now, replace $|-5|$ with5 in the expression $|-5|-5$ .
$5 -5 =0$

STEP 4

Next, let's find the absolute value of4. in the expression $|4.|$ .
$|4.| =4.$

STEP 5

Next, let's find the absolute value of -5.10 in the expression $|-5.10|$ .
$|-5.10| =5.10$

STEP 6

Finally, let's find the absolute value of $-2 \frac{3}{4}$ in the expression $\left|-2 \frac{3}{4}\right|$ .
$\left|-2 \frac{3}{4}\right| =2 \frac{3}{4}$ So, the solutions areProblem22 $|-5|-5 =0$ Problem23 $|4.5| =4.5$ Problem24 $|-5.10| =5.10$ Problem25 $\left|-2 \frac{3}{4}\right| =2 \frac{3}{4}$

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