# all numbers whose absolute value is

Absolute value means "distance from zero" on a number line. Substituting x by 0 in both sides of the equation results in: |(0) – 1| = 1 to the left side and 2(0) + 1 = 1 to the right. Now think about |x| = 2. To show x on the number line, you need to show every number whose absolute value is greater than 2. To show x on the number line, you need to show every number whose absolute value is 2. If you think of a number line, with zero in the center, all you're really doing is asking how far away you are from this zero point. wikiHow is where trusted research and expert knowledge come together. Consider an expression |x| > 5. The two expressions are equal and therefore, x = 0 is the solution to this equation. The absolute value of a number is always positive. References. Substitute (-1) for each x in the expression. To represent this, on a number line, you need all numbers whose absolute value is greater than 5. The absolute value of a number is the number’s distance from zero, which will always be a positive value. If you have a variable inside absolute value marks, you can't remove the marks using this method because if the value of the variable is negative, the absolute value would make it positive. 2. Consider another case where |x| = 5. This is done graphically by placing an open dot on the number line. Simplify: 3(-2) + | -4 | 4. An easy way to write these kinds of inequalities to show that their values fall between two numbers is: Of course, with less than inequalities, |x| will never be less than 0, so even though x can be negative, the number you're comparing it to can't be (or there won't be any points graphed on your number line). Identity of indiscernible |a − b| = 0 ⇔ a = b, Triangle inequality |a − b| ≤ |a − c| + |c − b|, Preservation of division |a/b|=|a|/|b| if b ≠ 0, Convert the absolute value symbols to parentheses. 1. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. For more tips, including how to find the absolute value in an equation with “I”, read on! In the given number the 8 represents a value of 80. Thanks to all authors for creating a page that has been read 111,868 times. The absolute value of 0 is 0. Find an answer to your question “All numbers whose absolute value is - 5 ...” in Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions. You have written f(x) = 7² + 2x + 14. the set of all number whose absolute value is equal to 7 - 19195733 For example, negative 4 would become 4. You are looking for numbers whose absolute values are less than or equal to 2. Algebra. The equal sign indicates that all values being compared are included in the graph. For more tips, including how to find the absolute value in an equation with “I”, read on! The > symbol indicates that the number being compared is not included in the graph. For example, the absolute value of number 5 is written as, |5| = 5. (This is why we. When you graph on the number line, a closed dot indicates that the number is part of the graph. wikiHow's Content Management Team carefully monitors the work from our editorial staff to ensure that each article is backed by trusted research and meets our high quality standards. This article has been viewed 111,868 times. This is done graphically by placing an open dot on the number line. The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. Last Updated: October 6, 2020 The = symbol indicates that the number being compared is included in the graph. One method of solving this equation is to consider two cases:a) Assume x – 1 ≥ 0 and rewrite the expression as: Calculate the value of xx = -2b) Assume x – 1 ≤ 0 and rewrite this expression as-(x – 1) = 2x + 1– x + 1 = 2x + 1find x asx = 0. When you graph on the number line, an open dot indicates that the number is not part of the graph. The absolute value of -15 is 15. All tip submissions are carefully reviewed before being published, This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. How do I find the value of f(-1) if f(x) = 7 squared + 2x +14? We use cookies to make wikiHow great. The number 41386 is given. To find the absolute value of a number, drop the negative sign if there is one to make the number positive. Consider an expression |x| > 5. The absolute value of a number is never negative. Find all numbers whose absolute value is -7. Absolute value of a number is denoted by two vertical lines enclosing the number or expression. This mean that, distance from 0 is 5 units: Similarly, the absolute value of a negative 5 is denoted as, |-5| = 5. The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value. If you meant to write that f(x) = 7x² + 2x + 14, then f(-1) = 7(-1)² + 2(-1) + 14 = 7 - 2 + 14 = 19. Solve to the equation by determining absolute values. Write the absolute value equation representing all numbers x whose distance from 4 is 8 units.? An absolute value can never equal to a negative number so if you see something like this | 2 - 4x| = -7 know that this equation is not true even without solving. Consider |x| = 2. How to Find the Absolute Value of a Number, http://mathforum.org/library/drmath/view/57177.html, http://www.purplemath.com/modules/absolute.htm, http://www.virtualnerd.com/tutorials/?id=Alg1_02_01_0001, http://www.coolmath.com/prealgebra/08-signed-numbers-integers/04-signed-numbers-integers-absolute-values-01, http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U09_L4_T1_text_final.html, http://mathcentral.uregina.ca/QQ/database/QQ.09.98/bagley2.html, https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/absolute-value-and-angle-of-complex-numbers/e/absolute_value_of_complex_numbers, http://mathcentral.uregina.ca/QQ/database/QQ.09.06/keith1.html, De absolute waarde van een getal berekenen, consider supporting our work with a contribution to wikiHow. Substituting (-1) for x makes f(-1) = (-2) + 63 = 61. The absolute value of a number is easy to find, and the theory behind it is important when solving absolute value equations. This expression is graphed by placing a closed dot on the number line. 1 Answer Alan N. Jun 8, 2018 #abs(x-8)=4# #x= {-4, 12}# Explanation: We are told that #x# is the set of numbers such that the distance from #x# to #4# is #8# - … % of people told us that this article helped them. This includes all absolute values that are less than or equal to 5. You need a different method to solve absolute value equations involving x and y, though they use the theory behind absolute value as its base. If you have a complicated equation, simplify it using the order of operations before you drop the negative signs. | (-2) – 1| = |-2 + 1| = 1 to the left-hand side and 2(-2) + 1 = – 3 to the right side, Since the two equations are not equal, therefore x = -2 is not an answer to this equation.Check for x = 0. Hence, the two possible values of x are -4 and 4. Now think about |x| > 2. You are looking for numbers whose absolute values are less than or equal to 2. On a number line it is the distance between the number and zero. The absolute value function is some times written as a piece-wise defined function. Write in symbols: The absolute value of a number, n, is 15. The absolute value of -2.1 is 2.1. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Write all the rational number whose absolute value is 5/9 2 See answers MathGuy MathGuy Multiply both numerator and denominator with all the integers starting from 2 and go up with 3,4,5 and so on... or start with -1 and go down with -2,-3,-4 and so on... For eg, • (5×2)/(9×2) = 10/18 Find all numbers whose absolute value is 3. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/4a\/Find-the-Absolute-Value-of-a-Number-Step-1-Version-2.jpg\/v4-460px-Find-the-Absolute-Value-of-a-Number-Step-1-Version-2.jpg","bigUrl":"\/images\/thumb\/4\/4a\/Find-the-Absolute-Value-of-a-Number-Step-1-Version-2.jpg\/aid642053-v4-728px-Find-the-Absolute-Value-of-a-Number-Step-1-Version-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

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