Unit 10: Absolute value & piecewise functions. Piecewise functions piece together different functions. Absolute value graphs make a V shape, but why do they do that? Let's explore how to make some new and interesting types of graphs. Explanation: absolute value function like y = |x − 2|. can be written like this: y = √(x −2)2. apply differentiation : y' = 2(x −2) 2√(x − 2)2 → power rule. simplify, y' = x − 2 |x − 2| where x ≠ 2. so in general d dx u = u |u| ⋅ du dx. I will put this on double check just to be sure.Explanation: absolute value function like y = |x − 2|. can be written like this: y = √(x −2)2. apply differentiation : y' = 2(x −2) 2√(x − 2)2 → power rule. simplify, y' = x − 2 |x − 2| where x ≠ 2. so in general d dx u = u |u| ⋅ du dx. I will put this on double check just to be sure.Jan 18, 2024 · Whenever you face absolute value equations, Omni's absolute value equation calculator is here to lend you a hand. With its help, you'll easily deal with all kinds of absolute value equalities, in particular equations where the absolute value is equal to 0. If you want to learn more about this topic, scroll down and learn: Compare the values found for each value of in order to determine the absolute maximum and minimum over the given interval. The maximum will occur at the highest value and the minimum will occur at the lowest value. No absolute maximum. No absolute minimum. Step 4We would like to show you a description here but the site won't allow us.Terms in this set (8) Do you rational numbers include which of the following? Positive integers negative integers and fractions. Make the statement true. 3<4<5. Evaluate absolute value of -3. |-3|. 3. Evaluate absolute value of -7+3 times the absolute value of four.As seen in the photo, 1m (1 meter) distance away from the first house has a considerable value. At the same time, 1mm (1 millimeter) distance is too small of a value that can be considered negligible.2.14 Absolute Value Equations; 2.15 Absolute Value Inequalities; 3. Graphing and Functions. 3.1 Graphing; 3.2 Lines; 3.3 Circles; ... Section 4.4 : Finding Absolute Extrema. For each of the following problems determine the absolute extrema of the given function on the specified interval. \(f\left( x \right) = 8{x^3} ...Therefore its absolute value is 9. The number -9 is the same distance from zero, so its absolute value is also just 9. In both cases the magnitude, or absolute value, of your number is just plain old "9" because you've removed any negative sign that might have existed. Taking absolute value of a number leaves a positive unchanged, and makes a ... its distance from zero on the number line. * For the notation, we use two big vertical lines. Check it out: Find the absolute value of 4: Find the absolute value of -5: continue. 1. of 2. This prealgebra lesson defines and explains how to find the absolute value of a number. Step 1. We have. % change in price = 6% increase. View the full answer Answer. Unlock. Previous question Next question. Transcribed image text: A6% increase in price results in a 4% decrease in quantity demanded. The absolute value of price elasticity of demand is (Enter your response rounded to one decimal place.)He calculated the absolute value of z, |z|, where you square the real parts of z, and then add them and take the square root. So, if z = a + bi. then the real parts are a and b. In this case z = √ (3)/2 + i. Then a = √ (3)/2. and b = 1, because the real part of i is 1, just as the real part of 2i is 2. The absolute value of z is: The absolute value of − 4 is also 4 : A number line from negative 5 to 5 with evenly spaced tick marks in increments of 1. Above the number line is a bracket labeled 4 that starts at negative 4 and ends at 0. Testing solutions to absolute value inequalities. In this math lesson, we learn how to determine if given values of x satisfy various absolute value inequalities. We examine three different inequalities and test each x value to see if it meets the inequality's conditions.a) Using the midpoint formula, calculate the absolute value of the price elasticity of demand between e and f. is coincident with the horizontal axis. lies above the midpoint of the curve. lies below the midpoint of the curve. D) is coincident with the vertical axis.The absolute value of 4+7i is equal to . The absolute value of the 4+7i be . Step-by-step explanation: The absolute value is given by . |a + bi| = Now find the absolute value of the 4+7i. |4+ 7i|= |4+ 7i| = |4+ 7i| = Therefore the absolute value of the 4+7i is .Oct 25, 2023 · To find the absolute value of a complex number, we need to take the square root of the sum of the squares of its real and imaginary parts. In this case, the complex number is 4 - 7i. We have 4 as the real part and -7 as the imaginary part. So, the absolute value is given by √(4^2 + (-7)^2). The absolute value of − 4 is also 4 : A number line from negative 5 to 5 with evenly spaced tick marks in increments of 1. Above the number line is a bracket labeled 4 that starts at negative 4 and ends at 0. Hence absolute value of 4/5 is 4/5 itself. absolute value of 4/5 is 4/5. Learn More: sum of rational numbers whose absolute value is 7/3 brainly.in/question/30900162. brainly.in/question/30899277. Advertisement Advertisement yuvrajsingh23204 yuvrajsingh23204Yes. In general, to solve an equation with an absolute value: Perform inverse operations until the absolute value stands by itself on one side of the equation--the equation should be of the form| expression | = c. If c is negative, the equation has no solution . Separate into two equations: expression = c or expression = -c Note that "or ...Simplifying expression with absolute value and unknown. 13. Derivatives of functions involving absolute value. 3. The contradiction method used to prove that the square root of a prime is irrational. 1. Solving absolute value equation in complex numbers. 32. Calculating the square root of 2. 0.Question: Make a circuit which gives the absolute value of a 4-bit binary number. Use four full adders, four multiplexers, and four inverters. Assume negative numbers are represented in 2's complement. Recall that one way to find the 2's complement of a binary number is to invert all of the bits and then add 1. There are 2 steps to solve this one.Break up the absolute value and rewrite the terms for the positive solution and solve for . For the negative solution, split up the absolute value and add a negative in front of the quantity which was contained by the absolute value. Divide by negative one on both sides. Subtract three on both sides. Simplify both sides.But the square root of a matrix is not unique wikipedia gives a list of examples to illustrate this. To understand this, how does one work out the absolute value of: A = (1 0 0 −1) A = ( 1 0 0 − 1) Clearly A† = A A † = A so |A| = A2−−−√ | A | = A 2, but this is not necessarily A A. I want to pick the identity in this case, since ...Absolute value equations calculator. Added Aug 29, 2011 by kyllemkl in Mathematics. Equation solver. Send feedback | Visit Wolfram|Alpha. Get the free "Absolute value equations calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.The absolute value of 4-7i to the square root of. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer. star.The absolute value is a math operation applied to real numbers that is defined as follows: For a real number. x x, if. x x is positive (or zero), the absolute value of. x x is just. On the other hand, if. x x is negative, the absolute value of. -x −x. What is absolute value symbol?How do you find 48 to 14 decrease percent? % decrease = the absolute value of the difference of the original value and the new value divided by the original value multiplied by 100%% decrease:= |48 - 14|/48 x 100%= 34/48 x …An absolute number takes the positive value of a number, without regards to its sign. Mean is an average of a set of numbers. So, what is the mean absolute deviation? It's the average of every value's distance from a certain central point. This point can be a mean, median, mode, or any other statistically significant number.The absolute value of -5 is 5. The distance from -5 to 0 is 5 units. The absolute value of 2 + (-7) is 5. When representing the sum on a number line, the resulting point is 5 units from zero. The absolute value of 0 is 0. (This is why we don't say that the absolute value of a number is positive. Zero is neither negative nor positive.)fabs () function of math.h header file in C programming is used to get the absolute value of a floating point number. This function returns the absolute value in double. Syntax: double fabs (double a); Parameter: It will take a single parameter which is to be converted to an absolute value. Return Value: While passing values to fabs (), we can ...This article reviews how to draw the graphs of absolute value functions. General form of an absolute value equation: f ( x) = a | x − h | + k. The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h and k tell us how far the graph shifts horizontally and vertically.Algebra basics. Foundations. Absolute value and number lines. Google Classroom. About. Transcript. One easy way to think of absolute value is the distance it is from zero. To do that, …Explanation: Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So | −4| = 4 and so is |4| = 4. Answer link. |4| is allready an absolute value, equal to 4 Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative.Absolute value is like a clock it has only positive numbers. Absolute value is talking about distance, distance is always measured by positive numbers. 6. Multiple Choice. Edit. 1 minute. 1 pt. Evaluate the expression. |-5| + 8. 3. 13-13-3. 7. Multiple Choice. Edit. 1 minute. 1 pt. Which is the greatest integer?-33-31-28-17. 8. Multiple Choice.Welcome to the Two Numbers Absolute Value Calculator. This calculator calculates the two numbers that have the absolute value of any number. Please enter your number below to find the two numbers that have it as their absolute value. Here are some examples of what our calculator can explain and answer. What two numbers have an absolute value of 6?We call the quantity inside the absolute value the argument of the absolute value. When solving equations and inequalities involving absolute value, there are two cases to consider: when the argument of the absolute value is positive, and when it is negative. For any \(a \geq 0\),The only way for the value of the absolute value to be 3 is for the quantity inside to be either -3 or 3. In other words, we get rid of the absolute value bars by using the formula from the notes. Show Step 2. At this point all we need to do is solve each of the linear equations we got in the previous step. Doing that gives,The absolute value of a complex number can be found using the Pythagorean theorem. For 4-7i, the absolute value is √65. Explanation: The absolute value of a complex number can be found using the Pythagorean theorem. To find the absolute value of 4-7i, we can treat 4 and -7 as the lengths of the legs of a right triangle.The absolute value function f ( x ) is defined by. f ( x ) = | x | = {-x, x<0 0, x=0 x, x>0. is called an absolute value function. It is also called a modulus function. We observe that the domain of the absolute function is the set R of all real numbers and the range is the set of all non-negative real numbers.Test prep. Improve your math knowledge with free questions in "Absolute value of rational numbers" and thousands of other math skills.absolute value: 1 n a real number regardless of its sign Synonyms: numerical value Types: modulus the absolute value of a complex number Type of: definite quantity a specific measure of amountAlternatively, NumPy's np.abs() can convert list elements to their absolute values.. NumPy: Convert array elements to absolute values (np.abs, np.fabs) Difference between math.fabs() and abs(). math.fabs() also returns the absolute value but always as a floating point number (float), unlike abs().Even for integers (int), math.fabs() returns a …6.NS.C.7.d. In this sixth-grade lesson plan, teachers will help students understand what absolute value is and how to find it with and without a number line. Students will also learn how to compare the absolute values of two numbers, and apply their understanding of absolute value within real-world contexts, such as temperature, elevation, and ...For example, $ 2$ and $ -2$ are opposites. Remember that numbers with a larger absolute value can actually be smaller when the numbers are negative – for example, $ -6<-5$, and, in the case of fractions, $ \displaystyle -\frac {3} {4}<-\frac {1} {2}$. So if we’re comparing negative numbers, it’s actually backwards compared to what we’re ...Absolute Value Equations Practice Problems with Answers. There are eleven (11) practice problems in this collection regarding absolute value equations. Whether you're a beginner or seeking a challenge, there's something here for you. As you tackle each problem, remember that in every attempt, right or wrong, fuels your mathematical growth.The absolute value of a number a, denoted |a|, is the positive distance between the number and zero on the number line. It is the value of the corresponding "unsigned" number -- that is, the number with the sign removed. Boundary Point A value of the variable that makes the equation true when an equal sign is substituted for an inequality sign ...This page titled 1.2: Solving Absolute Value Equations is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.To find the absolute value of 4 - 7i, we need to calculate the magnitude of this complex number. The magnitude can be found using the formula √(a² + b²), where 'a' is the real part and 'b' is the imaginary part. For the complex number 4 - 7i, 'a' = 4 and 'b' = -7. Substituting these values into the formula, we have:the absolute value is never negative; the absolute value of 0 is 0 because the distance between a number and itself is zero. The absolute value of a number a is written as ∣ a ∣ . For example, the absolute value of - 7 is written as | - 7|. Example 1: Find the absolute value of 2. Solution: Graph 2 on a number line. Answer: ∣ 2 ∣ ...Ex-1 : We are given an approximate value of π is 22/7 = 3.1428571 and true value is 3.1415926. Calculate absolute, relative and percentage errors? Solution - We have True value X= 3.1415926, And Approx. value X 1 = 3.1428571. So now we calculate Absolute error, we know that E A = X - X 1 =δX Hence E A = 3.1415926- 3.1428571 = -0.0012645 ...The absolute value of a complex number, a + ib (also called the modulus ) is defined as the distance between the origin (0, 0) and the point (a, b) in the complex plane. To find the absolute value of a complex number, we have to take square root of the sum of squares of real and part imaginary part respectively. |a + ib| = √ (a2 + b2)Simplify expressions that contain absolute value. Evaluate expressions that contain absolute value. We saw that numbers such as 5 5 and −5 − 5 are opposites because they are the same distance from 0 0 on the number line. They are both five units from 0 0. The distance between 0 0 and any number on the number line is called the absolute ...And just as a reminder, absolute value literally means-- whether we're talking about a complex number or a real number, it literally just means distance away from 0. So the absolute value of 3 minus 4i is going to be the distance between 0, between the origin on the complex plane, and that point, and the point 3 minus 4i.One way of thinking of the concept of absolute numbers is that it is the distance of that number from 0 – -4 is four away from 0, while 4 is also four away from 0. Example. What is the absolute value of the following numbers? -4, -18.2, and 17 1/3-4 – the absolute value is 4, as -4 is four numbers from 0.-18.2 – the absolute value is 18.2 ...The answer depends on how far away the number is from zero. So if you ask for the absolute value of -4, the answer is 4 (-4 is 4 away from zero). If you ask for the absolute value of 4 (positive 4, not negative), then the absolute value is STILL 4. it's pretty simple, just remember that the absolute value will always be positive.The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction. In an absolute value equation, an unknown variable is the input of an absolute value function. If the absolute value of an expression is set equal to a positive number, expect two solutions for the unknown variable.After determining that the absolute value is equal to 4 at x = 1 x = 1 and x = 9, x = 9, we know the graph can change only from being less than 4 to greater than 4 at these values. This divides the number line up into three intervals: x < 1, 1 < x < 9, and x > 9. x < 1, 1 < x < 9, and x > 9. Finding absolute values. Google Classroom. Select all numbers that have an absolute value of 5 . Choose all answers that apply: − 5. A. Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Absolute Value and Evaluat...This page titled 1.2: Solving Absolute Value Equations is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.Any number that is 4 units away from zero (0) on the number line will have an absolute value of 4.-4 and 4 on the number line attached below shows a distance of 4 units away from point zero (0). These are the two numbers that will have an absolute value of 4. In summary, on a number line, the numbers that will have an absolute value of 4 are ... Therefore, the answer to "What two numbers have an absolute value of 4?" is: 4 and -4. The absolute value of 4 is 4 and the absolute value of -4 is also 4. Here it is expressed mathematically with vertical lines that we call bars: For future reference, remember that the two numbers that have an absolute value of x are x and -x. What is absolute value? Absolute value is the distance a number is from 0.. To find the absolute value, place the number on a number line and measure the distance from 0.. For example, What is the absolute value of -2?-2 is 2 away from 0, so the absolute value is 2.. To write this mathematically, use the absolute value symbol, which is two vertical bars around a number or expression: |-2|=2.When solving absolute value equations, there are two cases to consider: Case 1: The expression inside the absolute value bars is positive. Case 2: The expression inside the absolute value bars is negative. Example 1. Take the expression | 4 x + 2 | = 18 as an example. For this to be true, either.Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as 8 = | 2 x − 6 |, 8 = | 2 x − 6 |, we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This leads to two different equations we can solve independently.fabs () function of math.h header file in C programming is used to get the absolute value of a floating point number. This function returns the absolute value in double. Syntax: double fabs (double a); Parameter: It will take a single parameter which is to be converted to an absolute value. Return Value: While passing values to fabs (), we …Apr 2, 2024 · For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line. Furthermore, the absolute value of the difference of two real numbers is the distance between them. The absolute value has the following four fundamental properties: In this example, we have the exact same shape as the graph of y = |x| only the "v" shape is upside down now.. Based on the examples we've seen so far, there appears to be a pattern when it comes to graphing absolute value functions.. When you have a function in the form y = |x + h| the graph will move h units to the left. When you have a function in the form y = |x - h| the graph will ...Simple Interest Compound Interest Present Value Future Value. Economics. Point of Diminishing Return. Conversions. ... absolute max. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and dedication. If you want...Absolute Value Caculator in Batch. Numbers: Absolute Values:Includes lessons Absolute Value Solution Sets, Absolute Value Inequalities with One Variable, and Absolute Value Inequalitiea with Two Variables. If you have a positive value in the absolute value sign, it just is itself. The absolute value of 2 is 2. Then we have the absolute value of 5 minus 15. Well, that's going to be the same thing as the absolute value. 5 minus 15 is negative 10, so it's the same thing as the absolute value of negative 10. Now, there's two ways you can think about it. The absolute value of − 4 is also 4 : A number line from negative 5 to 5 with evenly spaced tick marks in increments of 1. Above the number line is a bracket labeled 4 that starts at negative 4 and ends at 0. Simplify the expression. The set of whole numbers and their opposites {. . .-2, -1, 0, 1, 2. . .}. Study with Quizlet and memorize flashcards containing terms like absolute value, The distance a number is from zero on a number line, absolute value is the distance from ________ on a number line and more.In order to "undo" the absolute value signs, we could either get a positive or negative value, since the absolute value of \( - 5 \) is the same as the absolute value of \( 5 \), which is \( 5 \). This becomes a method where we have multiple cases. The main steps (for dealing with linear/multiple linear absolute value inequalities) areEosinophils make up 0.0 to 6.0 percent of your blood. The absolute count is the percentage of eosinophils multiplied by your white blood cell count. The count may range a bit between different ...Absolute value as distance between numbers. Report a problem. Loading... Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.For example, the absolute value of 4, written as |4|, is 4 because it is 4 units away from 0 on a number line. The absolute value of -3, written as |-3| is 3 because it is 3 units …Solution. Here's the ideal situation to apply our new concept of distance. Instead of saying "the absolute value of x minus 3 is 8," we pronounce the equation |x − 3| = 8 as "the distance between x and 3 is 8.". Draw a number line and locate the number 3 on the line. Recall that the "distance between x and 3 is 8.".Absolute Value: Symbol. Absolute value of a number is represented by writing the number between two vertical bars. Note that the vertical bars are not to be confused with parentheses or brackets.. The absolute value of x is represented by |x|, and we read it as “absolute value of x.”It is also read as “modulus of x.”Sometimes, the absolute value …Elsewhere, the out array will retain its original value. Note that if an uninitialized out array is created via the default out=None, locations within it where the condition is False will remain uninitialized. **kwargs. For other keyword-only arguments, see the ufunc docs. Returns: absolute ndarrayStep 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The solve for x calculator allows you to enter your problem and solve the equation to see the result.The absolute value of 4-7i to the square root of. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer. star.f′(x) ={1 −1 x > 0 x < 0. is true. But to check whether f is differentiable at 0, we need to decide if. limh→0 f(0 + h) − f(0) h = limh→0 |h| h. exists. In fact, this limit does not exist. The moral of the story is that differentiability requires checking not just a point, but a neighborhood around that point. This is why when it can ...
Now, absolute value inequality is any inequality that contains the absolute value of some expression. For instance, the inequality |x 2 + 3x -18| < 3 involves a quadratic expression. Most often, however, we have to deal with absolute value inequalities containing a linear expression, namely bx+c. In the most general form, they can be written as:. Castefiy
Explanation: Split into two equations: -4-5x=16 or -4 -5x=16 Rearrange unknown terms to the left side of the equation: 5x=16-4 Calculate the sum or difference: 5x=20 Divide both sides of the equation by the coefficient of variable: x = 20 ÷ 5 x=20\div 5 x = 20 ÷ 5 Calculate the product or quotient: x=4 Rearrange unknown terms to the left side ...Give a new lease of life to your practice with our free absolute value inequalities worksheets. Clear the absolute-value bars by splitting the inequality into two pieces. Instruct grade 8 students to find the boundary points by solving each basic, one-step, and two-step absolute value inequality in this batch of printable worksheets.Welcome to the Two Numbers Absolute Value Calculator. This calculator calculates the two numbers that have the absolute value of any number. Please enter your number below to find the two numbers that have it as their absolute value. Here are some examples of what our calculator can explain and answer. What two numbers have an absolute value of 6?It’s pretty simple: An absolute value function is a function in which the variable is inside the absolute value bars. As always, to find the integral, properties of integrals need to be used, so be sure to keep our favorite table handy! Constant multiple property of integrals. $$\int { (c\times f (x))}dx=c\times \int {f (x)}dx$$. Sum rule for ...The absolute value of a number is its value regardless of its sign. Absolute Value—the Numeric Approach. Absolute value can be explored both numerically and graphically. Numerically, absolute value is indicated by enclosing a number, variable, or expression inside two vertical bars, like so: NROC. NROC.The absolute value function f ( x ) is defined by. f ( x ) = | x | = {-x, x<0 0, x=0 x, x>0. is called an absolute value function. It is also called a modulus function. We observe that the domain of the absolute function is the set R of all real numbers and the range is the set of all non-negative real numbers.Here's how to calculate the mean absolute deviation. Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points. Following these steps in the example below is ...The absolute value of x. If x is negative (including -0), returns -x. Otherwise, returns x. The result is therefore always a positive number or 0. Description. Because abs() is a static method of Math, you always use it as Math.abs(), rather than as a method of a Math object you created (Math is not a constructor).Join with Mr. B as we understand opposite numbers and absolute values. In this mathematics tutorial you'll find a visual mini-lesson along with practice and ...With the absolute value calculator, the function abs can calculate the absolute value online of a number. To calculate the absolute value of a number, just enter the number and to apply the function abs. Thus, for calculating the absolute value of the number -5, you must enter abs ( − 5 - 5) or directly -5, if the button abs already appears ...Explanation: absolute value function like y = |x − 2|. can be written like this: y = √(x −2)2. apply differentiation : y' = 2(x −2) 2√(x − 2)2 → power rule. simplify, y' = x − 2 |x − 2| where x ≠ 2. so in general d dx u = u |u| ⋅ du dx. I will put this on double check just to be sure.The absolute value of -5 is 5. The distance from -5 to 0 is 5 units. The absolute value of 2 + (-7) is 5. When representing the sum on a number line, the resulting point is 5 units from zero. The absolute value of 0 is 0. (This is why we don't say that the absolute value of a number is positive. Zero is neither negative nor positive.)The absolute value is a special case of parentheses. We do the work inside the parentheses 1st. The absolute value gets applied to the result, not the parts. Consider this numeric example: |3 (5)-9|. 1) Using PEMDAS: Mulitply, substract, then do absolute value once there is one number. |3 (5)-9| = |15 -9| = |6| = 6.the absolute value of -4.5 is 4.5. Step-by-step explanation: The absolute value of a number means the distance from 0. SO if you have -4.5, positive 4.5 is the distance from 0.-4.5+4.5= 0. Hence that is the reason the absolute value of -4.5 is 4.5. Hope this helps!In the complex numbers, there is a notion of absolute value, usually called the norm of the complex number. In that setting, the answer becomes more complicated. Share. Cite. Follow edited Feb 13, 2013 at 8:32. answered Feb 13, 2013 at 8:06. André Nicolas André Nicolas. 507k 47 47 gold ...Break up the absolute value and rewrite the terms for the positive solution and solve for . For the negative solution, split up the absolute value and add a negative in front of the quantity which was contained by the absolute value. Divide by negative one on both sides. Subtract three on both sides. Simplify both sides.Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25.