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 of any number is either zero [latex](0)[/latex] or positive. It makes sense that it must always be greater than any negative number. The answer to this case is always all real numbers. Examples of How to Solve Absolute Value Inequalities. Example 1: Solve the absolute value inequality.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 ...Jun 17, 2021 · The absolute value of a number a a, denoted |a| | a |, is the distance from a to 0 on the number line. Absolute value answers the question of "how far," and not "which way." The phrase "how far" implies "length" and length is always a nonnegative quantity. Thus, the absolute value of a number is a nonnegative number. Sample Set A. Alternatively, 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 …The absolute value of a number is its distance from zero on the number line. We started with the inequality | x | ≤ 5. We saw that the numbers whose distance is less than or equal to five from zero on the number line were − 5 and 5 and all the numbers between − 5 and 5 (Figure 2.8.4 ). Figure 2.8.4.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.)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.Absolute value refers to a point's distance from zero or origin on the number line, regardless of the direction. The absolute value of a number is always positive. The absolute value of a number is denoted by two vertical lines enclosing the number or expression. For example, the absolute value of the number 5 is written as, |5| = 5.Absolute Value: An absolute value is a business valuation method that uses discounted cash flow (DCF) analysis to determine a company's financial worth.1 Answer. The absolute value of 4 +7i is √65. The absolute value of a complex number in the form a +bi is found using this process: √a2 + b2. So, given z = |4 +7i|, The absolute value of 4 + 7i is sqrt65. The absolute value of a complex number in the form a + bi is found using this process: sqrt (a^2 + b^2). So, given z = |4 + 7i|, |z ...Two Numbers Absolute Value Calculator. 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.For example, the absolute value of the number 3 and -3 is the same (3) because they are equally far from zero: From the above visual, you can figure out that: The absolute value of a positive number is the number itself. The absolute value of a negative number is the number without its negative sign. The absolute value of zero is 0. Easy!The absolute value of a number is the distance of the number from zero on the number line. The absolute value of a number is never negative. Learn what an absolute value is, and how to evaluate it. Explains absolute value in a way that actually makes sense. Using a number line, the concept of absolute value is illustrated through several example.The complex number is, We know that, The absolute value of a complex number x + iy, is defined as the distance between the origin (0, 0) and the point (x, y) in the complex plane. Its value is calculated by, Now, by using the above formula the absolute value of the complex number is, ⇒ =. To learn more about absolute value visit:The derivative of absolute value (function) is defined as the rate of change or the slope of a function at a specific point. The absolute value function is defined as: { x if x ≥ 0 − x if x < 0. Given its piecewise definition, the derivative of the absolute value function can also be found piecewise. However, there's a catch.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 away from 0 on a number line. Remember, distance is never negative. Would you ever tell someone you live -2 miles away? Of course not!The correct option is B 4. The absolute value of a number is the value that shows how far the number is from zero. Here, the given number is -4 and -4 is 4 units away from 0. Therefore, the absolute value of -4 is 4. Suggest Corrections. The absolute value of 9 is 9. (9 is 9 places from 0.) The absolute value of -4 is 4. (-4 is 4 places from 0.) The absolute value of 0 is 0. (0 is 0 places from 0.) We work with the understanding that 9 and 4 don't tell which side of zero 9 and -4 are on. The absolute value simply tells how far these numbers are from 0. 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 amountThe numbers that have an absolute value of 4.6 are 4.6 and -4.6. This is because absolute value refers to the distance a number is from zero on the number line, regardless of direction. In Mathematics, the absolute value of a number is its distance from zero on the number line and is always nonnegative. In this case, you're asked to find ...A normal absolute eosinophil count ranges from 0 to 500 cells per microliter (<0.5 x 10 9 /L). This typically amounts to less than 5% of all white blood cells. Different laboratories may have different normal reference ranges. Your healthcare provider can explain your results and provide clarity if you have any questions. 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. MAD Process: (1) Find the mean (average) of the set. (2) Subtract each data value from the mean to find its distance from the mean. (3) Turn all distances to positive values (take the absolute value). (4) Add all of the distances. (5) Divide by the number of pieces of data (for population MAD).Absolute values often show up in problems involving square roots. That's because you can't take the square root of a negative number without introducing imaginary numbers (those involving ). Example 1: Simplify This problem looks deceptively simple. Many students would say the answer is and move on. However, that is only true for positive values […]And the absolute value of 33 is just 33. Or you could've done it the other way around. Since we're taking absolute value, it doesn't matter what we subtract from the other ones. You could do on 1881 minus 1914, and you would've gotten negative 33. But the absolute value of either of these numbers is, you're saying, how far is 33 or negative 33 ...Finding absolute values. Google Classroom. Select all numbers that have an absolute value of 5 . Choose all answers that apply: − 5. A.It include all complex numbers of absolute value 1, so it has the equation | z | = 1. A complex number z = x + yi will lie on the unit circle when x2 + y2 = 1. Some examples, besides 1, -1, i, and - 1 are ±√2/2 ± i √2/2, where the pluses and minuses can be taken in any order. They are the four points at the intersections of the ...Taking the absolute value of a positive does not change the outcome. First Case: x + 2 = 9. The second case is that x+2 is negative. To get the absolute value of a negative, you have to negate it (which makes it positive again). Therefore |x+2| = - (x+2). Second Case: - (x + 2) = 9. Here we can solve both cases for x.Sometimes called a numerical value, the absolute value is the non-negative value of a real number without regard for its sign. For example, the absolute value of both "12" and "-12" is 12. When writing absolute value, you can use two vertical lines around a number to represent absolute value. For example: Is short for "the …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)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.3.5: Absolute Value Functions. There are a few ways to describe what is meant by the absolute value | x | of a real number x. You may have been taught that | x | is the distance from the real number x to 0 on the number line. So, for example, | 5 | = 5 and | − 5 | = 5, since each is 5 units from 0 on the number line.Yes, because the spaces (Draw a number line if your confused about "spaces"!) |-6| or -6 from 0 is exactly 6. So to make the equation simpler, you rewrite it. So 6 x 6 = 36. (: Hope this helps! Absolute Value. <----- (-6)----- (-5)----- (-4)----- (-3)----- (-2)----- (-1)----- (0)----->.Quiz: Absolute Value. Previous Absolute Value. Next Solving Equations Containing Absolute Value. Access quality crowd-sourced study materials tagged to courses at universities all over the world and get homework help from our tutors when you need it.The absolute value of a number is its non-negative value without regard to its sign. [Math]::Abs(-5) Absolute value function. Trigonometric functions. Trigonometric functions apply to calculations related to angles. I suppose you remember them well from school. Sine [Math]::Sin(90) Cosine [Math]::Cos(90)8 years ago. Well, the simple answer is that the absolute value of a number simply is the positive form of the number. |98| = 98. |-17362| = 17362. |-pi| = pi. That's the easiest way. Just get rid of the negative sign and boom, you've done the absolute value. But that's not really the point.Find the Absolute Value of ... Calculator. Input any integer or decimal value into ourAbsolute Value Calculator. You can type a fraction by typing the numerator then '/' then the denominator. Examples: 3/4 (three-quarters); 2/5 (two-fifths); 4/9 (four nineths). You can type a mixed number by typing the number part, then a space then the fraction.While the absolute value function does not satisfy the above definitions for linear functions, it is actually "parts" of two linear functions. Share. Cite. Follow edited May 20, 2021 at 15:50. amWhy. 210k 180 180 gold badges 278 278 silver badges 501 501 bronze badges. answered Dec 11, 2011 at 16:14. RobinM ...Recall that in its basic form f (x) = |x|, f ( x) = | x |, the absolute value function is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign.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.Solving Absolute Value Inequalities. As we know, the absolute value of a quantity is a positive number or zero. From the origin, a point located at \((−x,\, 0)\) has an absolute value of \(x,\) as it is \(x\) units away. Consider absolute value as the distance from one point to another point.Explanation: Absolute value of a negative number is the number opposite to it. So. | −4| = − ( − 4) = 4. Answer link. See explanation.Alternatively, 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 floating point number (float).Absolute value of a number is the distance between the number and a zero on a number line. And distance is always positive. so absolute value of any number a is | a | | a| = a if a > 0 = 0 if a = 0 = - a if a < 0. as 4/5 > 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 ...-4 and 4 on the number line have an absolute value of 4. Hope it helps. heart outlined. Thanks ...There is a great trick to calculate the absolute value of a 2s-complement integer without using an if statement. The theory goes, if the value is negative you want to toggle the bits and add one, otherwise you want to pass the bits through as is. A XOR 1 happens to toggle A and A XOR 0 happens to leave A intact. So you want do something like this:The equations template contains the absolute value notation or enter: abs(x) Question: 1. Comment on the relationship between the graphs of and . Students should note that the when x 0 the graph is reflected in the x axis. Question: 2. Graph and compare each of the following: a. yx 2 4 and yx 2 4 b. f x x( ) 33 and f x x( ) 3 3 c.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.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 \(a \geq 0\),Less positive (move closer to zero). In the $120 to $160 price range in Figure 5.1, the absolute value of the price elasticity of demand is closest to: 2.33. If the price is reduced from $100 to $80 in Figure 5.1, ceteris paribus: Total revenue will decrease. Ashely has a budgeted $40 per month for candy bars.7. Since the absolute value is always greater than or equal to zero, this statement is true for all values of x x. To further answer your question, we can write this as. x + 2 > −4 or x + 2 < 4 x + 2 > − 4 or x + 2 < 4. Again, since x + 2 x + 2 is either at least −4 − 4 or at most 4 4, this is true for all x x. Share.The correct option is B 4. The absolute value of a number is the value that shows how far the number is from zero. Here, the given number is -4 and -4 is 4 units away from 0. Therefore, the absolute value of -4 is 4. Suggest Corrections.You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: The absolute value of the sum of 4 times a number and 7 is the sum of 2 times a number and 3. Write and solve an absolute value equation to represent the situation. The absolute value of the sum of 4 times a number and 7 is the sum of 2 ...The absolute value of a number is the actual distance of the integer from zero, in a number line. Therefore, the absolute value is always a positive value and not a negative number. We will use the following approaches to find the absolute value of a number: Using If Statement;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 ...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: A low absolute neutrophil count is referred to as neutropenia . This occurs when the ANC is less than 2,500 cells/mcL. At levels below 1,000, you are at an increased risk of infection. A high absolute neutrophil count is called neutrophilia . This occurs when the ANC is over 6,000 cells/mcL.3. I would guess it is your first option. A usual terminology in calculus is about absolute and relative (or local) maxima and minima. The absolute maximum would be then max{f(x): x ∈ [−2, 4]} max { f ( x): x ∈ [ − 2, 4] }. The phrase "absolute maximum value " probably has to do with the fact that when looking at extrema of functions ...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.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).Answer by MathDazed (34) ( Show Source ): You can put this solution on YOUR website! The absolute value of any number whether positive or negative....is it's positive value. For example the absolute value of (-3) or written |-3| is 3 and the absolute value of |6| is 6. To your question the absolute value of -4/9 is 4/9.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 ...In this case, a = 4 and b = -3, so: |4 - 3i| = √ ( (4)^2 + (-3)^2) = √ (16 + 9) = √25 = 5. So, the absolute value of 4 - 3i is 5. The absolute value of the complex number 4 - 3i, represented as |4-3i|, is equal to 5. This conclusion is reached by applying the formula for absolute value. Option D is answer. Learn more about complex number ...Study with Quizlet and memorize flashcards containing terms like The standard form of an absolute value function is mc002-1.jpg. Which of the following represents the vertex?, Which of the following is the graph of f(x) = |x| translated 2 units right, 2 units up, and dilated by a factor of mc018-1.jpg?, What is the range of the absolute value function below? mc009-1.jpg and more.To simplify the given expression, first square three tenths, then calculate the absolute value and divide. Finally, add the results to get-11.57. Explanation: To simplify the expression, we need to follow the order of operations (PEMDAS/BODMAS). Let's break down the expression step by step: Square three tenths: (3/10)2 = 9/100.The absolute value function has a derivative (s) on restricted domains. i.e. f' (x) = -1 for x <0 and f' (x) = 1 for x > 0. However, the absolute value function is not "smooth" at x = 0 so the derivative at that point does not exist. The power rule only applies to power functions.Shift absolute value graphs Get 3 of 4 questions to level up! Scale & reflect absolute value graphs Get 3 of 4 questions to level up! Graph absolute value functions Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 240 Mastery points Start quiz. Piecewise functions.3.5: Absolute Value Functions. There are a few ways to describe what is meant by the absolute value | x | of a real number x. You may have been taught that | x | is the distance from the real number x to 0 on the number line. So, for example, | 5 | = 5 and | − 5 | = 5, since each is 5 units from 0 on the number line.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.Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system. This can apply to scalar or vector quantities. The symbol for absolute value is a pair of vertical lines, one on either side of the quantity whose absolute value is to be determined. So the absolute value of negative 1 is 1. And the absolute value of 1 is also 1 away from 0. It's also equal to 1. So on some level, absolute value is the distance from 0. But another, I guess simpler way to think of it, it always results in the positive version of the number. The absolute value of negative 7,346 is equal to 7,346. The absolute value of a number is the number without its sign. Syntax. ABS(number) Number is the real number of which you want the absolute value. Example. Col1. Formula. Description (Result)-4 =ABS([Col1]) Absolute value of -4 (4) Need more help? Want more options? Discover Community.Now, let us find the absolute value of a complex number z = 6 + 8i is ${\sqrt{6^{2}+8^{2}}}$ = ${\sqrt{100}}$ = 10. In Unit Circle. Complex numbers can have an absolute value of 1. It is the same for -1, just as for the imaginary numbers i and -i. This is because all of them are one unit away from 0, either on the real number line or the ...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: The absolute value of a signed byte is its numeric value without its sign. For example, the absolute value of both 12 and -12 is 12. Applies to. Abs(Single) Source: Math.cs Source: Math.cs Source: Math.cs. Returns the absolute value of a …5.4. Absolute values and the triangle inequality. The triangle inequality is a very simple inequality that turns out to be extremely useful. It relates the absolute value of the sum of numbers to the absolute values of those numbers. So before we state it, we should formalise the absolute value function.The absolute value of a signed byte is its numeric value without its sign. For example, the absolute value of both 12 and -12 is 12. Applies to. Abs(Single) Source: Math.cs Source: Math.cs Source: Math.cs. Returns the absolute value of a …profile. ashleywalt7710. report flag outlined. The absolute value of 4.6 would stay 4.6 because absolute value only changes the answer if the answer is originally negative. arrow right. Explore similar answers. messages. Get this answer verified by an Expert. Advertisement.An eosinophil count uses a standard blood draw. As with any blood test, there are minimal risks of experiencing minor bruising at the needle site. In rare cases, the vein may become swollen after ...Absolute Value. The absolute value (or modulus) of a real number is the corresponding nonnegative value that disregards the sign. For a real value, a, the absolute value is: a, if a is greater than or equal to zero. -a, if a is less than zero. abs(-0) returns 0.
Solution. Already the absolute value expression is isolated, therefore assume the absolute symbols and solve. | x + 2 | = 7 → x + 2 = 7. Subtract 2 from both sides. x + 2 - 2 = 7 -2. x = 5. Multiply 7 by -1 to solve for the negative version of the equation. x + 2 = -1 (7) → x + 2 = -7. Subtract by 2 on both sides.. Flights from seattle to new york
Assuming "absolute value" is a math function | Use as referring to a mathematical definition instead. Input. Plots. Alternate form assuming x>0. Alternate form assuming x is real. Root. Step-by-step solution; Properties as a real function. Domain. Range. Parity. Derivative. Step-by-step solution;Derivative of Absolute Value Function - Concept - Examples. Now, based on the table given above, we can get the graph of derivative of |x|.Scale & reflect absolute value graphs Get 3 of 4 questions to level up! Graph absolute value functions Get 3 of 4 questions to level up! Solving absolute value equations. Learn. Intro to absolute value equations and graphs (Opens a modal) Worked example: absolute value equation with two solutions4. Write in symbols: The absolute value of a number, n, is 15. This is a page from the dictionary MATH SPOKEN HERE! , published in 1995 by MATHEMATICAL CONCEPTS, inc., ISBN: 0-9623593-5-1.The number doctors look at is called your absolute neutrophil count (ANC). For a healthy person, the normal range for an ANC is between 2,500 and 6,000. The ANC is found by multiplying the WBC count by the percent of neutrophils in the blood. For instance, if the WBC count is 8,000 and 50% of the WBCs are neutrophils, the ANC is 4,000 (8,000 × ...profile. ashleywalt7710. report flag outlined. The absolute value of 4.6 would stay 4.6 because absolute value only changes the answer if the answer is originally negative. arrow right. Explore similar answers. messages. Get this answer verified by an Expert. Advertisement.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) areAs another example, if we are asked to compute abs (-3), we take note of the fact that -3 is 3 units away from 0. It happens to be on the left of 0 on a number line, but it's still 3 units away. We say that abs (-3) = 3. "The absolute value of -3 is 3." If our original number is negative, we just answer with the positive version of the number.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 is the distance between a number and zero. The distance between and is . Step 3.3.2.3. The final answer is . Step 3.4. The absolute value can be graphed using the points around the vertex. Step 4 ...This rule is used for solving most absolute value questions. Absolute value equations Absolute value equations are equations in which the variable is within an absolute value operator. For example: | x-4 | = 10 Because the value of x-4 can be 10 or -10, both of which have an absolute value of 10, we need to consider both cases: x-4 = 10 and x-4 ...The absolute value of $|-4|$ is $4$. This is a tricky question, and the answer to that is no, that is not always the case. You might wonder how it is possible because the absolute value of $-1$ and $1$ is $1$ and, similarly, the absolute value of $-2$ and $2$ is $2$ if we are dealing with whole numbers. We consider the absolute value of "$0 ...By taking the absolute value of the terms of a series where not all terms are positive, we are often able to apply an appropriate test and determine absolute convergence. This, in turn, determines that the series we are given also converges. The second statement relates to rearrangements of series. When dealing with a finite set of numbers, the ...Abstract. 4-bits Absolute Value Detector circuit is a very commonly used circuit design. As to simplify the internal circuit design to make the total number of stage lesser which provides a less ...The value of x is ± (1/9). Step-by-step explanation: Consider the provided statement. If 3 is added to the absolute value of the product of a number and −9, Now convert this into mathematical form. Let the number is x then the product of number and -9 is -9x. For absolute value we use the mode. Thus the required expression is: 3 + |-9x|All of the above grouping symbols, as well as absolute value, have the same order of precedence. Perform operations inside the innermost grouping symbol or absolute value first. Example \(\PageIndex{1}\) Simplify: \(5-(4-12)\). Solution: Perform the operations within the parentheses first. In this case, first subtract \(12\) from \(4\).The reason this happens is the absolute value always creates a positive number. And, a positive number will never = a negative number. So, let's extend that concept to inequalities. 1) An absolute value < a negative: In this situation, we have a positive value < a negative value. That would always be false.We could say that the absolute value of a number is its purely arithmetical value. Here is the algebraic definition of | x |: If x ≥ 0, then | x | = x; if x < 0, then | x | = − x. That is, if x is non-negative: |3|, then the absolute value is the number itself. If x is negative: |−3|, then the absolute value is its negative; that makes ...Verified answer. find the absolute value 3.4=. 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. 4.8 /5. heart.1. Apr 19, 2009. #1. This is one of the questions on my homework assignment. I need to find the absolute value of a 4-bit binary number. I know that I don't need to do anything to the first 8 positive numbers to find the absolute value, but my problem is with the last 8 negative numbers. I know that I need to use two's complement to invert the ....