Absolute value of -4

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.

Absolute value of -4. Calculating the derivative of absolute value is challenging at first, but once you learn the formula, you can easily find the right values and functions in any problem. You will need to use many terms when working with derivatives, including continuity, discontinuity, piecewise, limits, and differential. Quick Navigation.

Explanation: Absolute value of a negative number is the number opposite to it. So. | −4| = − ( − 4) = 4. Answer link. See explanation.

What is the modulus (absolute value) of − 6 + 4 i ? Don't round. If necessary, express your answer as a radical. | − 6 + 4 i | =. Report a problem. 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 ... 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 ...For example, -4 and 4 both have an absolute value of 4 because they are each 4 units from 0 on a number line—though they are located in opposite directions from 0 on the number line. When solving absolute value equations and inequalities, you have to consider both the behavior of absolute value and the properties of equality and inequality.Absolute Value: An absolute value is a business valuation method that uses discounted cash flow (DCF) analysis to determine a company's financial worth.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 ...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 ...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 a number is its distance from zero on a number line, regardless of the direction. So, the absolute value of -1/4, represented as |-1/4|, is simply 1/4. This is because if we were to place -1/4 on a number line, regardless of its negative status, it would still be 1/4 units away from zero, hence its absolute value is 1/4.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 …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 ...The absolute value of a complex number is just the distance from the origin to that number in the complex plane! This tutorial shows you how to use a formula to find the absolute value of a complex number. Keywords: problem; absolute value; complex numbers; pythagorean theorem; complex plane;3. Place the expression inside the absolute value bars below the number line at theleftend. 4. Test the sign of the expression inside the absolute value bars by inserting a value of x from each side of the critical value and marking the result with a plus(+) orminus(−) signbelowthenumberline. 5.1. 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 ...Theorem: Extreme valUE theorem. Assume z = f (x,y) z = f ( x, y) is a differentiable function of two variables defined on a closed, bounded set D D. Then f f will attain the absolute maximum value and the absolute minimum value, which are, respectively, the largest and smallest values found among the following: The values of f f at the critical ...

The absolute value function is 1/4 or 0.25 after using the concept of the absolute value function. What is the number? A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers. It is given that:When the entropy value is calculated for one mole of the substance in its standard state, the resulting absolute entropy is called the standard entropy. The standard entropy is usually given the symbol So S o. It is usually included in compilations of thermodynamic data for chemical substances. We write So A (T) S A o ( T) to indicate the ...Enter Number = -654323456 Actual = -654323456 Absolute Number = 654323456. It is a simple code to find the absolute value of any number in c using an if statement that checks whether the number less than zero. If true, assign a positive number.Understanding Absolute Value. 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 ... More Examples. Here are some more examples of how to handle absolute values: |−3×6| = 18. Because −3 × 6 = −18, and |−18| = 18. −|5−2| = −3. Because 5−2 = 3 and then the first minus gets us −3. −|2−5| = −3. Because 2−5 = −3 , |−3| = 3, and then the first minus gets us −3. −|−12| = −12. Because |−12| = 12 and then the first minus gets us −12. Comparing Absolute Values. Apply the same skills that you acquired while solving inequalities, as you answer the questions in this printable comparing absolute values worksheet for grade 6 and grade 7. Use one of the symbols: >, < or = to compare the absolute values. The numbers covered here range from 1 to 50 of both positive and negative ...

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The absolute value of -4 is 4, because it is four units to the right of zero on the number line. Learn how to simplify, compare and use absolute values with examples and exercises.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 ...Also, the absolute value of -4 is written as |-4|. As we discussed earlier, the absolute value results in a non-negative value all the time. Hence, |4|=|-4| =4. That is, it turns negative numbers also into positive numbers. The …Click here 👆 to get an answer to your question ️ Select all numbers that have an absolute value of 4. Select all numbers that have an absolute value of 4. - brainly.com See what teachers have to say about Brainly's new learning tools!The absolute value of a variable x is represented by |x| which is pronounced as "Mod x" or "Modulus of x." Other names of "Absolute Value" are "Numerical value" and "Magnitude". The absolute value of a number is its distance from 0 on a number line. It is the magnitude of that number without considering its sign. The absolute value of 9 is ...

Compare |-4| and |-4|. Solution : Step 1 : The absolute value of a number is the number's distance from 0 on a number line. To understand this, let us mark -4 and 4 on a number line. Step 2 : On the above number line, -4 is 4 units from 0 to the left. Since -4 is 4 units from 0, we say that the absolute value of -4 is 7.Enter Number = -654323456 Actual = -654323456 Absolute Number = 654323456. It is a simple code to find the absolute value of any number in c using an if statement that checks whether the number less than zero. If true, assign a positive number.Click here 👆 to get an answer to your question ️ The absolute value of 4+7i is equal to the square root of Gauthmath has upgraded to Gauth now! 🚀 Calculator Download Gauth PLUSNow 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 a number n is the distance of the number n from zero. The absolute value is denoted by vertical bars as | n |, and is read aloud as "the absolute value of enn". (There is a technical definition for absolute value, but unless you go as far as taking calculus, you'll likely never even see it.) Calculating the derivative of absolute value is challenging at first, but once you learn the formula, you can easily find the right values and functions in any problem. You will need to use many terms when working with derivatives, including continuity, discontinuity, piecewise, limits, and differential. Quick Navigation.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 …How To: Given an absolute value equation, solve it. Isolate the absolute value expression on one side of the equal sign. If c > 0 c > 0, write and solve two equations: ax+b = c a x + b = c and ax+b =−c a x + b = − c. In the next video, we show examples of solving a simple absolute value equation. 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. Absolute monocytes per microliter of blood (mcL) Adults. 0.2 to 0.95 x 10 3. Infants from 6 months to 1 year. 0.6 x 10 3. Children from 4 to 10 years. 0.0 to 0.8 x 10 3. These ranges can vary ...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!

Extreme value theorem tells us that a continuous function must obtain absolute minimum and maximum values on a closed interval. These extreme values are obtained, either on a relative extremum point within the interval, or on the endpoints of the interval. Let's find, for example, the absolute extrema of h ( x) = 2 x 3 + 3 x 2 − 12 x over the ...

Use this calculator to find the absolute value of any number, including -4. The symbol for absolute value is | x | where | x | = x, and | -x | = x. Learn the definition, formula and examples of absolute value.Mean absolute deviation describes the average distance between the values in a data set and the mean of the set. For example, a data set with a mean average deviation of 3.2 has values that are on average 3.2 units away from the mean. A group of kids in town A has a bake sale every week for 5 weeks, making $40, $40, $50, $55, and $65. Their mean sales are ...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 ...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 ...Comparing Absolute Values. Apply the same skills that you acquired while solving inequalities, as you answer the questions in this printable comparing absolute values worksheet for grade 6 and grade 7. Use one of the symbols: >, < or = to compare the absolute values. The numbers covered here range from 1 to 50 of both positive and …Theorem: Extreme valUE theorem. Assume z = f (x,y) z = f ( x, y) is a differentiable function of two variables defined on a closed, bounded set D D. Then f f will attain the absolute maximum value and the absolute minimum value, which are, respectively, the largest and smallest values found among the following: The values of f f at the critical ...Explanation: Absolute value of a negative number is the number opposite to it. So. | −4| = − ( − 4) = 4. Answer link. See explanation. 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.

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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.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, …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.Integrating an Absolute Value Z 4 0 jx3 5x2 + 6xjdx There is no anti-derivative for an absolute value; however, we know it's de nition. jxj= ˆ x if x 0 x elsewise Thus we can split up our integral depending on where x3 5x2 + 6x is non-negative. x3 5x2 + 6x 0: x(x2 5x+ 6) 0: x(x 2)(x 3) 0: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| = 6.2. Make the number in the absolute value sign positive. At its most simple, absolute value makes any number positive. It is useful for measuring distance, or finding values in finances where you work with negative numbers like debt or loans. [2] 3. Use simple, vertical bars to show absolute value.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 ∣ ...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.Use this calculator to find the absolute value of any number, including -4. The symbol for absolute value is | x | where | x | = x, and | -x | = x. Learn the definition, formula and examples of absolute value.Sep 29, 2019 · The absolute value of 4 - 7i is sqrt(65). Explanation: To find the absolute value of a complex number, we need to calculate its magnitude, which is given by the distance from the origin to the point representing the complex number on the complex plane. For the complex number 4 - 7i, the absolute value is: ….

The absolute value of a number corresponds to its magnitude, without considering its sign, if it has it. Geometrically, it corresponds to the distance of a point x x to the origin 0 0, on the real line. Mathematically the absolute value of a number x x is represented as |x| ∣x∣ . Due to the geometric nature of its interpretation, the ...Free online graphing calculator - graph functions, conics, and inequalities interactively.The absolute value of a number is its distance from zero on a number line . For instance, 4 and − 4 have the same absolute value ( 4 ). So, the absolute value of a positive number is just the number itself, and the absolute value of a negative number is its opposite. The absolute value of 0 is 0 . Easy!1. report flag outlined. Answer: 4/25 is the absolute value of -4/25. Step-by-step explanation: The absolute value of a number is the distance a number is from 0. For example 3 would be the same distance from 0 as -3. Hope this helped you understand more about absolute value! Thank you so much that is exactly what I needed. report flag outlined.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 …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.5 abs(4 + 3i) = sqrt(4^2 + 3^2 )= sqrt( (4 + 3 i) *(4 - 3i)) = 5. Precalculus . Science Anatomy & Physiology ... How do you find the absolute value of #4+3i#? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane. 1 …Find the absolute value of the difference between each data value and the mean. Find the sum of the absolute values and divide the sum by the number of data values. Example: Find the mean absolute deviation of the data set below. 2, 4, 6, 3, 7, We'll begin by finding the mean of the data set. Then find the absolute value of the difference ...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. An absolute value equation may have one solution, two solutions, or no solutions.(a) A request for equitable adjustment to contract terms that exceeds the simplified acquisition threshold may not be paid unless the contractor certifies the request in accordance with the clause at 252.243-7002. (b) To determine if the dollar threshold for requiring certification is met, add together the absolute value of each cost increase and each cost decrease. Absolute value of -4, Absolute value - The non-negative value of a number without regard to its sign. 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. Therefore the absolute value of -1/4 is just 1/4., For example, -4 and 4 both have an absolute value of 4 because they are each 4 units from 0 on a number line—though they are located in opposite directions from 0 on the number line. When solving absolute value equations and inequalities, you have to consider both the behavior of absolute value and the properties of equality and inequality., The absolute value function has a piecewise definition, but as you and the text correctly observe, it is continuous. Informally, the pieces touch at the transition points. The greatest integer function has a piecewise definition and is a step function. There are breaks in its graph at the integers., Answer: 4.5. Step-by-step explanation: absolute value: the distance away from zero, it will always be positive because distance can't be negative. thus, the absolute value of 4.5 = the distance of 4.5 to zero, which is 4.5. |4.5| = 4.5. arrow right., For example, -4 and 4 both have an absolute value of 4 because they are each 4 units from 0 on a number line—though they are located in opposite directions from 0 on the number line. When solving absolute value equations and inequalities, you have to consider both the behavior of absolute value and the properties of equality and inequality., Use this calculator to find the absolute value of any number, including -4. The symbol for absolute value is | x | where | x | = x, and | -x | = x. Learn the definition, formula and examples of absolute value., 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., Absolute value - The non-negative value of a number without regard to its sign. 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. Therefore the absolute value of -1/4 is just 1/4., absolute value n. (numerical value of a number) قيمة مطلقة، عدد مطلق. The absolute value of -4 is 4. absolute zero n. (lowest possible temperature) (أدنى درجة حرارة ممكنة) الصفر المطلق. Absolute zero, zero degrees Kelvin, is -473 Fahrenheit or -273.15 Celsius. the absolute truth n., 2.2: Absolute Value. Every real number can be represented by a point on the real number line. The distance from a number (point) on the real line to the origin (zero) is what we called the magnitude (weight) of that number in Chapter 1. Mathematically, this is called the absolute value of the number. So, for example, the distance from the point ..., Hence the absolute value of complex number. z = 46 - 4i is √2132. Question 4: Find the absolute value of the following complex number. z = 3 - 5i. Solution: The absolute value of a real number is the number itself and represented by modulus, To find the absolute value of complex number, Given : z = 3 - 5i. We have : |z| = √(a 2 +b 2), Simplify absolute value expressions using algebraic rules step-by-step. absolute-value-calculator. en. Related Symbolab blog posts. Middle School Math Solutions - Inequalities Calculator., 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 …, The absolute value function is commonly used to measure distances between points. Applied problems, such as ranges of possible values, can also be solved using the absolute value function. The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction., To get from −8 − 8 to the answer you really want, just take the absolute value! Thus, absolute value provides a convenient way to talk about the distance between any two real numbers: DISTANCE BETWEEN TWO REAL NUMBERS absolute value of the difference. Let x x and y y be real numbers. Then: |x−y| =the distance between x and y | x − y ..., Comparing absolute values. Comparing absolute values helps us understand the distance between numbers and zero on the number line. The absolute value is always positive or zero, and it represents the magnitude of a number. By comparing absolute values, we can determine which number is further from zero, regardless of its positive or negative ..., Simplify the expression. three tenths squared minus 17 plus the quantity negative 7 divided by the absolute value of 4.3 minus 7.8 end quantity times 2.67 This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts., The absolute value of a number corresponds to its magnitude, without considering its sign, if it has it. Geometrically, it corresponds to the distance of a point x x to the origin 0 0, on the real line. Mathematically the absolute value of a number x x is represented as |x| ∣x∣ . Due to the geometric nature of its interpretation, the ... , In this case, the absolute value of -4 is 4 because both -4 and 4 are located 4 units away from zero in opposite directions. Related Questions. Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated., Examples, videos, and solutions to help Grade 6 students understand the absolute value of a number as its distance from zero on the number line. Students use absolute value to find the magnitude of a positive or negative quantity in a real-world situation. New York State Common Core Math Grade 6, Module 3, Lesson 11. Opening Exercises., 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., 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., Now, if you think about it we can do this for any positive number, not just 4. So, this leads to the following general formula for equations involving absolute value. If |p| = b, b > 0 then p = −b or p =b If | p | = b, b > 0 then p = − b or p = b. Notice that this does require the b b be a positive number., Scaling & reflecting absolute value functions: equation. Google Classroom. About. Transcript. The graph of y=k|x| is the graph of y=|x| scaled by a factor of |k|. If k<0, it's also reflected (or "flipped") across the x-axis. In this worked example, we find the equation of an absolute value function from a description of the transformation ..., 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. , One of the most common applications of absolute value, aside from simply calculating absolute value of numbers is its use on equations. For example. |x - 1 | = 3 ∣x−1∣ =3. corresponds to a absolute value equation, because there is an equation that needs to be solved for x x, and there is an absolute value involved in there., Rational equations are equations in which variables can be found in the denominators of rational expressions. 1 x + 1 = 2 x. ‍. is a rational equation. Both radical and rational equations can have extraneous solutions, algebraic solutions that emerge as we solve the equations that do not satisfy the original equations., Simply enter two real numbers in the input sections and hit the calculate button to avail the Absolute Difference of two numbers in a matter of seconds. 4. Why is the Absolute Value of a number always positive? Absolute Value is always positive as it is the distance of a number from zero in the number line., 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 \(a \geq 0\),, For example, the absolute value of 4 is 4 : − 5 − 4 − 3 − 2 − 1 0 1 2 3 4 5 4. This seems kind of obvious. Of course the distance from 0 to 4 is 4 . Where absolute value gets interesting is with negative numbers. For example, the absolute value of − 4 is also 4 : − 5 − 4 − 3 − 2 − 1 0 1 2 3 4 5 4., Basic Absolute Value Equations. Save Copy. Log InorSign Up. BASIC ABSOLUTE VALUE GRAPHS. 1. Look at the relationship graphs of lines and graphs of the absolute value of lines. 2. y = 2 x − 6. 3. y = 2 x − 6. 4. Experiment with other lines and other placements of the absolute value. 5. y = 2 − x. 6. y = 2 − x. 7. y ..., Integrating an Absolute Value Z 4 0 jx3 5x2 + 6xjdx There is no anti-derivative for an absolute value; however, we know it's de nition. jxj= ˆ x if x 0 x elsewise Thus we can split up our integral depending on where x3 5x2 + 6x is non-negative. x3 5x2 + 6x 0: x(x2 5x+ 6) 0: x(x 2)(x 3) 0:, 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.