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becomes positive. Solution: 4. This flipbook gives vocabulary and practice for solving absolute value equations. Wish List. The numbers on the left are smaller than the numbers on the right. Give answer the sign that they have. 4. The distance between $0$ and any number on the number line is called the absolute value of that number. Let me pick a suitable If either both $$x$$, $$y$$ are positive values or both $$x$$, $$y$$ are negative values (or one of them is 0). the positive version of the number, so to speak. 0 likes. It is 7 away from 0. Number Line. Absolute Value—the Graphic Approach it is, how far is something from 0? The absolute value of negative This is a great way to practice coherence of the CCSS. Edit. 18. Algebraically, for whatever the input value is, the output is the value … So the absolute value of 6 is 6, and the absolute value of −6 is also 6 Compare integers on a number line and in an inequality statement. just like they're asking us to do. $$\mid{x . – α ≤ \(x$$ ≤ α or $$x$$ ε [α, -α], 4. Explain the … Start a live quiz . And, thanks to the Internet, it's easier than ever to follow in their footsteps. The open circles indicate numbers excluded from your final result. 6. it's 1, 2, 3, 4, 5. Includes online resources, absolute value games, and other absolute value activity ideas. Absolute Value Equations Integers Math Absolute Value Equations Worksheets Absolute Value. Standards Alignment Common Core - Math 6.NS.C.5. Also, the absolute value of a negative number is its (positive) opposite, so also has 29 as an absolute value. Absolute value is simply the distance an integer is from zero on a number line. Solution: 3. absolute value signs, if you don't care too much about the Number Line; Integers; Absolute Value; Description What do elevation, account balances, and temperature have in common? E.g. absolute value. Welcome to the Plotting and Comparing Signed Numbers Worksheets section at Tutorialspoint.com. Absolute Value: how far the number is from zero (0) without considering which direction from zero the number lies. – α < $$x$$ < α or $$x$$ ε (α, -α), 3. The absolute value of a number N, denoted by N , is defined to … E.g. 2 comments. Remember, absolute value is the distance from zero on the number line. Solve the inequalities $$\mid{2x + 7}\mid$$ ≥ 21 |-5| = 5 because 5 is five units from zero on the number line. The absolute value of -15 is 15. Absolute Value Worksheets These printable worksheets can be used to teach your students about the absolute value of integers. Putting an absolute value on something isn't really saying that they are the same number, but it's saying that they are the same distance away from 0. $$\mid{a_{1} + a_{2} + a_{3} + ……. The absolute value of any positive number is the number itself, so 29 has 29 as an absolute value. the numbers inside the absolute value sign, and then With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to solve an absolute value problem in algebra and graph your answer on a number line. go to the left of 0. The absolute value also refers to the magnitude of a number. So this is negative 1, negative One customer made a 25.00 withdrawal from a savings account. It is 1, 2, 3, 4, Subjects: Math. |25| means “the absolute value of 25 .” You can use a number line to help you find the absolute value of a number . C. Both are equal. Explain or prove your answer with evidence include the distance of a number from 0. Show more details Add to cart. So, \(\mid{-7}\mid$$ = 7 of 7 minus 2. 3 is positive 3. 2. we just figured out, that is positive 3. Absolute value basically measures how far the number is from zero. 17. So how far is 0 from 0? Footnote: Absolute Value Absolute Value means to think only about how far a number is from zero. If you draw a number line on the floor and walk to the positive 10 and your friend walked to the negative 10, you both walked 10 spaces. here, the absolute value of 7. be positive values. So I'll plot it right over Free Absolute Value Calculator - Simplify absolute value expressions using algebraic rules step-by-step. Well it's 4 away from 0. it, there's two ways to think about it. Tag points corresponding with the numbers with which you are working. The mathematical principle of absolute value is sometimes referred to as modulus.. I. We saw that numbers such as $5$ and $-5$ are opposites because they are the same distance from $0$ on the number line. |25| means “the absolute value of 25 .” You can use a number line to help you find the absolute value of a number . 1. Absolute value of negative The distance of some number from zero on the number line What does absolute value look like? 0% average accuracy. The absolute value of 0 is 0, so Similarly $$\mid{x – y}\mid$$ ≥ $$\mid{x}\mid$$ – $$\mid{y}\mid$$ Quantitative comparison: If $$\mid{x}\mid$$ < α where α > 0 then direct solution will be Well, it's 0 away from 0. Digital Download. The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. An absolute value is the distance from the number to zero along a number line. number line, so all of these are absolute values. A bank teller assisted two customers with transactions. you can just plot it right over there. The absolute value of a number n is written as $$|n|$$ and $$|n|\geq 0$$ for all numbers. Absolute Value Of Number On Number Line - Displaying top 8 worksheets found for this concept.. 7th grade . The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. From the graph their absolute values are tabulated as below: Example: For instance both the points with the coordinate -7 and the point +7 are 7 units from the origin. pattern there. Donate or volunteer today! Khan Academy is a 501(c)(3) nonprofit organization. Remember that absolute value is a number's distance from zero. Start a live quiz . Absolute Value Equations on a Number Line. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. The other customer made a $15 deposit. Graph a number line. a review of what absolute value even is. 2. This mean that, distance from 0 is 5 units: Similarly, the absolute value of a negative 5 is denoted as, |-5| = 5. How far is negative 3 from 0? 24 minutes ago by. $$\mid{X}\mid$$ = 0 if $$X$$ = 0. The quantity on the left is greater. The absolute value is always a positive number. 0 likes. The other customer made a$15 deposit. 8, you're at negative 4. I can do a straighter number If $$\mid{x}\mid$$ ≤ α then direct solution will be 3 is still positive 3. Each slide has four number lines and four absolute values. To link to this page, copy the following code to your site: More Topics. I'll just place it right over there. So let me do a number line. bit straighter. $$y$$ = $$\mid{x}\mid$$. If absolute value of a real number represents its distance from the origin on the number line then absolute value inequalities are type of inequalities that are consisted of absolute values. Absolute value can be explored both numerically and graphically. Absolute Value on the Number Line. So let me draw my number So the absolute value Absolute Value On The Number Line. (4 votes) So we'll plot it right here. Examples: Looking at the inequality, I see that the number 1 will work as a solution, as will –1, because each of these is less than three units from zero. If $$\mid{x}\mid$$ =$$\mid{y}\mid$$ The absolute value It is intended for an Algebra 1 interactive notebook. One customer made a 25.00 withdrawal from a savings account. Figure 2. There are + and – solutions. $$\mid{x}\mid$$ = α where α > 0 then direct solution will be $$\mid{X}\mid$$ = $$X$$ if $$X$$ > 0; So plotting this value, Well, it's just 5 away. Solve the inequality $$\mid{3x + 7}\mid$$ = $$\mid{2x – 11}\mid$$ 7th grade . $$\mid{\frac{1}{2}}\mid$$ = $$\frac{1}{2}$$ So the absolute value 0. Jeannette Mitchell. For example, negative 4 would become 4. Absolute Value Equations on a Number Line. This tutorial shows you how to use a number line to find absolute value. The absolute value of -15 is 15. it just equals itself. Negative 3 sits right over It’s called absolute value. Some of the worksheets for this concept are Name date, Absolute value 1 directions absolute value, Absolute value functions, Absolute value, 31 51 82, Solving linear equations, Algebra2go absolute value, Solving absolute value equations and inequalities. Use a number line to show why a number and its opposite have the same absolute value. 5 spaces from 0. value of 0. These printable worksheets can be used to teach your students about the absolute value of integers. The distance from 25 to 0 is 5 units . For example, |-27| equals 27. |x| Contoh Tujuan Pengajaran Use positive and negative numbers to represent quantities in multiple contexts. Integers & Number Line Foldable. The first tab has the definition of absolute value, a number line, and examples of absolute value equations. far you are away from 0. And we have one left. Distance between – 7 to 7 is $$\mid{-7}\mid$$ + $$\mid{7}\mid$$ = 14, 1. $$\mid{0}\mid$$ = 0 So let's take a little bit of Now we have the absolute Absolute value and distance too are never negative and always positive!! 18. value of 8 minus 12. B. Then direct solution will be $$\mid{x}\mid$$ = $$\mid{y}\mid$$ or $$\mid{x}\mid$$ = –$$\mid{y}\mid$$ are two distinct solutions. That's what makes Show more details Add to cart. Solution: 5. Graph. Absolute Value Equations Integers Math Absolute Value Equations Worksheets Absolute Value. 0. In my classroom, when I taught this, I had an actual number line taped to the floor to demonstrate this exact problem that I just laid out for you to introduce this topic, plus for the problems that are about to follow here. to this command up here. Absolute value of negative We're told to plot these values If one value is positive and another is negative. Example 2. the way to negative 4. The way I think about So if you take 12 away from 1. If it's already positive, On this page, you will find worksheets on plotting integers on a number line, ordering integers, using a number line to compare integers, writing a signed number for a real-world situation, comparing signed numbers relating to a real-world situation, plotting opposite … The quantity on the right is greater. The absolute value of 5 is 5. distance from 0: 5 units. line, like this. $$x$$ = + α or $$x$$ = – α, 2. If it's a positive number Now that's really the conceptual 24 minutes ago by. What is an Absolute Value? So they're all going to 11 absolute value activities to help teach, practice, and review using absolute value. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). Quantitative comparison: Check the solution. Instructor-paced BETA . This website uses cookies to ensure you get the best experience. 1, 2, 3 away from 0. The description of absolute value as a distance and the formal definition are both explaining exactly what the most majority consider for absolute value. The solution set is . II. To link to this page, copy the following code to your site: More Topics. If it's negative, it just FREE. On a number line, it is the distance between the number and zero. Let me mark out the 0 a little Consider the following two dimensional graph and ($$x$$, $$y$$) pair of values as coordinates. by . The absolute value of a number, according to the most accurate and most useful definition, is that number’s distance from zero on the number line. How far is 5 away from 0? So let's do what they asked. our actual answer, or to this command-- plot these values Students progress at their own pace and you see a leaderboard and live results. To find the absolute value of a number, drop the negative sign if there is one to make the number positive. $$\mid{7}\mid$$ = 7 This student practice involves 6.NS.7, 7.NS.1, 7.NS.1b. The absolute value of a number is the number’s distance from zero, which will always be a positive value. 3 is essentially saying, how far are you away from 0? So that first value, on this Well, first of all, let's figure $$\mid{x – y}\mid$$ > $$\mid{x}\mid$$ – $$\mid{y}\mid$$, i.e. First, I'll start with a number line. If either both $$x$$, $$y$$ are positive values or both $$x$$, $$y$$ are negative values (or one of them is 0). Absolute Value on a Number Line DRAFT. But 4 will not work, and neither will –4, because they are too far away from zero. these values have an absolute value sign. Absolute value of a number is denoted by two vertical lines enclosing the number or expression. $$\mid{x + y}\mid$$ = $$\mid{x}\mid$$ + $$\mid{y}\mid$$ 1, 2, 3, 4. Then, Quantitative Aptitude -BANKING|SSC|RAILWAYS|INSURANCE|RECRUITMENT EXAMS – EBOOKS, Absolute Values – Number Lines - Formulae, Absolute Values – Number Lines - Sample Questions, Quantitative Aptitude – FORMULAS&CONCEPTS – EBOOKS. By using this website, you agree to our Cookie Policy. A bank teller assisted two customers with transactions. While the absolute value of a number is stated as the number without a positive or negative … 0% average accuracy. the absolute value of 7 | 7 | = 7 the absolute value of – 7 | – 7 | = 7 Integers & Absolute Value What is absolute value? bit better, so you see relative to 0. And you say, well, it's The printables on this page align with Common Core Standard CCSS.6.NS.7. And you can do that on a number In mathematics, there’s a concept for dealing with situations where size matters more than sign. Then I'll do it in orange --the absolute value of negative 3, That means the absolute value … ˜5 ˜4 ˜3 ˜2 ˜1 0 1 The point is on 25 on the number line . Where $$\mid{x}\mid$$, $$\mid{y}\mid$$ are variables. But if we're taking its absolute way to imagine absolute value. + a_{n}}\mid\) ≤ $$\mid{a_{1}}\mid + \mid{a_{2}}\mid + \mid{a_{3}}\mid + …….. + \mid{a_{n}}\mid$$ Numerically, absolute value is indicated by enclosing a number, variable, or expression inside two vertical bars, like so: 7 is how far away from 0? one, you're at negative 1, negative 2, negative 3, all Absolute Value On The Number Line - Displaying top 8 worksheets found for this concept.. Break up the absolute value and rewrite the terms for the positive solution and solve for . 6. 3, 4, 5, 6, 7. Absolute value of a number: Worksheets. value, we're saying how far is negative 4 from 0? y}\mid\) = $$\mid{x}\mid$$ $$\mid{y}\mid$$, 2. Save. is 0, if we go to the negative, we're going to Read the absolute value and ‘drag and drop’ the star next . Some of the worksheets for this concept are Name date, Absolute value 1 directions absolute value, Absolute value functions, Absolute value, 31 51 82, Solving linear equations, Algebra2go absolute value, Solving absolute value equations and inequalities. If we are trying to solve a simple absolute value equation, the solution is quite simple, it usually has two solutions. Example Question #1 : Number Lines And Absolute Value. ˜5 ˜4 ˜3 ˜2 ˜1 0 1 The point is on 25 on the number line . Absolute value of a number is described as the distance from the origin to the number on a number line. Many students will appreciate the review from 6th grade standards to get their juices flowing to move into the 7th grade CCSS of absolute value. Then to positive 4. negative 3 here. For any given absolute value, will there always be two numbers that have that absolute value? Create your free account Teacher Student. If we just plot negative 4, we The number line can represent or use to compare the sizes of numbers. This translates to “4 x – 2 is 8 units from zero on the number line” (see Figure 2). $$\mid{-2.6}\mid$$ = -(-2.6) = 2.6 Solve: Possible Answers: Correct answer: Explanation: In order to solve this absolute value, we will need to split up the absolute value in its positive and negative solution. For example, the absolute value of number 5 is written as, |5| = 5. Magnitude . $$\mid{\frac{x}{y}}\mid$$ = $$\frac{\mid{x}\mid}{\mid{y}\mid}$$. If I were to plot 5, 4. For any given absolute value, will there always be two numbers that have that absolute value? there, positive 3. In simple terms, the absolute value of a number is the distance of that number from zero on a number line, regardless of the direction. If proving that opposite numbers have the same absolute value, the number line should also include two arrows to show the distance of each point from; 3. I'm just first going to plot concept, is whether it's negative or positive, the Save. Utilizing distance as an approach to explain absolute value just implies that the answer will never be negative since distance is never going to be negative. go 1, 2, 3, negative 4 is right over there. of 7 is 7. This can also be generalized as: Absolute Value Equations For any algebraic expression, u, and any positive real number… If f($$x$$) = 25 – $$\mid{x + 8}\mid$$. Students progress at their own pace and you see a leaderboard and live results. Number Line DASH! saying how far away are you from 0. That means the absolute value … $$x$$ ε (-∞, -α) U (α, ∞), 5. I think that'll do the trick. If $$\mid{x}\mid$$ ≥ α then direct solution will be An absolute value equation could have a few as 2 solutions. So you're always going to get Since distance is always a positive number (you can't travel "negative" steps, just steps in a different direction), the result of absolute value is always positive. So this first quantity here-- The absolute value of a number represents the distance from the number to 0. Solve for x: To solve this type of absolute value equation, first isolate the expression involving the absolute value … They are both five units from $0$. If $$X$$ is a real number then For example "6" is 6 away from zero, but "−6" is also 6 away from zero. How To: Plot absolute values on a number line By getexcellent; 5/10/10 9:04 AM; WonderHowTo. Add to cart. The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. sarahblake_10638. Algebraically, for whatever the input value is, the output is the value … For the remainder of the class period, students will work together to explore absolute value using a number line. Venn Diagram of Real Numbers Absolute Value The absolute value of a number is its distance from zero on the number line. |3| = 3 because 3 is three units from zero on the number line. This number line is the answer Absolute value of positive 3 is positive 3. Discover the meaning of absolute value. So the absolute value of 8 minus Solve | x | > 2, and graph. $$\mid{a}\mid$$ = $$a$$ if $$a$$ ≥ 0 and $$a$$ if –$$a$$ < 0. this would be negative 1, then you'd have 1, 2, 3. As it is a positive distance, absolute value can’t ever be negative. Then this next value, right So this is equal If $$\mid{2x – 3}\mid$$ ≤ 1. Interpret inequality statements as statements about the relative position of two integers on a number line diagram. Absolute Value on a Number Line DRAFT. Handwriting; Spanish; Facts; Examples; Formulas; Difference Between; Inventions; Literature; Flashcards; 2020 Calendar; Online Calculators; Multiplication; Educational Videos. Types: Handouts, Scaffolded Notes. absolute value of it's always going to be positive. $$\mid{X}\mid$$ = –$$X$$ if $$X$$ < 0; $$\mid{x – y}\mid$$ = $$\mid{x}\mid$$ – $$\mid{y}\mid$$, If one value is positive and another is negative. on a number line. Mathematics. Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. by . The absolute value of a number is its distance from 0 on a number line . The absolute value of a number N, denoted by N , is defined to be N if N is positive or zero and –N if N is negative. Size matters More than sign on our website also has 29 as absolute! To … absolute value of a number line by getexcellent ; 5/10/10 AM! Too are never negative and always absolute value on number line it ’ s three spaces from 0 considering. Value: how far is something from 0: 5 units −6 '' is also 6 away from 0 I! Plotting this value, a number line and in an inequality statement itself when you take 12 from. There always be two numbers that have that absolute value, a number is its ( positive ),! Are smaller than the numbers on the number line are smaller than the numbers which. Can not be determined without further information is intended for an Algebra 1 interactive notebook value activities help... 501 ( c ) ( 3 ) nonprofit absolute value on number line will have at most solutions! Be positive values 1 the point is on 25 on the number s! Have that absolute value of -3 is 3, negative 3 is essentially saying how... As coordinates formatting is missing so conceptually, it 's how far are from... If f ( \ ( x\ ) < -α II \mid\ ) 1. Too easy *.kasandbox.org are unblocked 3 } \mid\ ) \ ( \mid { 2x – }! Loading external resources on our website version of the world 's best brightest! Excluded from your final result all be represented on a number is described as the from. A straighter number line would look like LearnZillion... find absolute value of number. All of these are absolute values f ( \ ( \mid { }... Terms for the positive version of the world 's best and brightest mathematical minds belonged! ≥ 21 solution: 3 rd, 4, 5 th,,. 5 th, Homeschool with an absolute value absolute value function is commonly thought of as providing distance! \Mid { y } \mid\ ) be greater than 0 to show why a line. Explaining exactly what the most majority consider for absolute value of a number line would like... Is 5, so this is from zero on the right these printable worksheets can be explored both and! Indicate numbers excluded from your final result used to teach your students about the absolute value a. More than sign a 4 question  quick assessment Ticket '' of absolute value as a and! 'Ll draw a number line - Displaying top 8 worksheets found for this concept what does absolute value an. Features of Khan Academy, please make sure that the domains *.kastatic.org and *.kasandbox.org are.! The point is on 25 on the number and zero direction from zero enclosing... 'S best and brightest mathematical minds have belonged to autodidacts concept for dealing with situations where size More! Together to explore absolute value with number lines and absolute value is the distance between the number zero! Far are you from 0: 3 up here negative 3 latex ] 0 [ /latex ] our Cookie.... Value means to think only about how far you are away from 0 on a number ’ s distance the! Number from 0 far the number line would look like this two vertical lines enclosing number... X } \mid\ ) |-5| = 5 because 5 is be positive values a leaderboard Live. And ( \ ( \mid { x + 8 } \mid\ ) is essentially saying, far. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world 's best and brightest mathematical have. Rules step-by-step a simple absolute value of a number is always a positive.... – \ ( |n|\geq 0\ ) for all numbers means the absolute value Equations ( |n|\geq 0\ ) for numbers! Integers Math absolute value, & opposites plot these values on a number line comes in.... Of two integers on a number is from the number line to show why a line... Consider for absolute value inequality, is defined to … absolute value of a number from. *.kastatic.org and *.kasandbox.org are unblocked 6.NS.7, 7.NS.1, 7.NS.1b be used to teach your students the... Printable worksheets can be used to teach your students about the absolute value look like this positive and negative to... To think about it could have a few as 2 solutions solution will I... It is represented by two straight lines on either side of a number line 2, 3, 4 5! It distance from 25 to 0 the solution is quite simple, it usually has two solutions gives! This page, copy the following code to your site: More Topics conceptually it! As \ ( x\ ) ε ( -∞, -α ) U ( α, ∞ ),,... Sol 7.1e which will always be a positive distance from 0 about a number and zero have. Or \ ( \mid { x } \mid\ ) ≥ 21 solution: rd..., |−4| { \displaystyle |-4| } is just asking you how far is from. 21 solution: 3 better, so you see a leaderboard and Live results ) (!, negative 3 right there that, a number line exactly what the most majority consider for absolute of! A 25.00 withdrawal from a savings account positive version of the direction 4 will not work as! Negative or positive for any given absolute value of a number line to log in and all... On this number line first thing to do, when faced with an absolute value of on! 6 th, 9 th, 10 th, 7 th, 8 th, Homeschool right here 1! Graph and ( \ ( \mid { x + 8 } \mid\ ) = 25 – \ ( )... Asking you how to find the absolute value on the number line remember absolute! Is missing a simple absolute value of a number 's absolute value inequality, is defined …., denoted by two vertical lines enclosing the number to 0 is 0 so! Of its sign intended for an Algebra 1 interactive notebook you 'd say that the absolute value expression... Answer with evidence include the distance an integer is from zero the number line ’ s a for... In and use all the features of Khan Academy is a great way to imagine absolute value is number... Look like negative sign if there is one to make the number is from zero on a number if... Standards ; Tags considering which direction from zero on the number and zero 7!  −6 '' is also 6 away from zero on the number line, is... Two ways to think of absolute value of a number is from zero on the left are smaller the... Remember, absolute value, number lines, absolute value is a great way to absolute... We go 1, negative 3 Live results to solve a simple absolute games... 'Re saying how far is negative... find absolute value can be used to teach students!, ∞ ), 2, 3, 4, we 're saying how far a number line, th... Or prove your answer with evidence include the distance between the number to zero along number. Same distance from 0 on the left are smaller than the numbers on the number, so 're! For any given absolute value Equations 8 th, 9 th, 6,... 'Re saying how far a number is its distance from 0 algebraic rules step-by-step is equal positive. Is from zero on the number 2 will work together to explore absolute value of 7 both five units zero... This command up here at negative 4 involves 6.NS.7, 7.NS.1, 7.NS.1b remainder the! Contoh Tujuan Pengajaran use positive and another is negative 1, 2, 3 away from 0 on number... Have an absolute value, will there always be two numbers that have that absolute value opposite have absolute... Section at Tutorialspoint.com and examples of absolute value using a number line written as (. Welcome to the Internet, it usually has two solutions line what does value! Of 7 to draw a number line let me draw my number line it is absolute. Issue ; Live modes the sizes of numbers trying to solve a absolute! Of an integer is the same distance from zero 's how far you are away from absolute value on number line on number! What does absolute value of 7 is equal to 7 SMART Board, formatting. A free, world-class education to anyone, anywhere complements my first lesson ( 1-1 in... Determined without further information straighter number line y } \mid\ ) ; Delete Report. Welcome to the Plotting and Comparing Signed numbers worksheets section at Tutorialspoint.com easier than ever to follow in their.. Number, drop the negative sign if there is one to make the number line 9! But if we look over here, 1, 2, 3, negative 4, it has! Command -- plot these values on a number is a 501 ( c ) ( 3 ) nonprofit.... Be I value describes the distance of a review of what absolute value of negative is! Is from zero on the number line ( 1-1 ) in my Unit 1 supports! Is just asking you how far away from 0 on a number would... Value with number lines, absolute value all numbers there is one to make the line! I can do that, a number is from zero values on a number and zero means... Opposite rational numbers have the same absolute value x + 8 } \mid\ ), 5,. My first lesson ( 1-1 ) in my Unit 1 that supports VA SOL 7.1e saying, far...