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Purplemath. What is the absolute value of a number? 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".
- Formatting Math as Text
You can use "abs()" to indicate absolute value (or...
- Variables
In this context (that is, where you get to plug a value into...
- Formatting Math as Text
4 days ago · 4. Subadditivity. The concepts of subadditivity are typically illustrated in the following expression: |a + b| ≤ |a| + |b|. This means that the absolute value of the sum of two real numbers is less than or equal to the total of the absolute values of the two numbers.
To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero. The graph is v-shaped. Created by Sal Khan and CK-12 Foundation.
- 11 min
- Sal Khan,CK-12 Foundation
- You'll have to consider 4 cases. In one, 2x+1=0 and -(2x+1)=0 . Do that same for the other absolute value and thus you'll obtain 4 answers, i.e, th...
- If it's a negative number that you're trying to find the absolute value of, and there are no other terms attached to it, then the answer is the pos...
- What are you having trouble with? Anything specific? Well, here's an explanation that will hopefully clear things up. Say you have a number |x|. Le...
- Just like with the simpler problems, start by writing out the two equations you will be solving for (a positive and a negative output), Then solve...
- You can't say "y-intercept is equal to 0", it's not correct. That x=-3 you're talking about is the x-intercept. An intercept is the point where the...
- |a + bi| = √(a^2 + b^2) |i| = |0 + i| = √(0^2 + 1^2) = √1 = 1
- the absolute value for zero is zero because zero is zero spaces away from zero on a number line.
- Yes. Unless you had this for example -|8| which would mean you solve the absolute value which is 8 and multiply it by negative one due to the negat...
- to make our brain hurt
From this form, we can draw graphs. This article reviews how to draw the graphs of absolute value functions. General form of an absolute value equation: f ( x) = a | x − h | + k. The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down.
- Maybe I can better explain when you have an absolute value function you want to look at what are in the places of a, h and k. a|x-h|+k Specifically...
- It is shifted to the right because `x-1` would make it `0` when `x=1` because `x=1` `1-1=0` So, we always want the absolute value part of the equat...
- mathematician
- No, if it is positive it means I move in the negative direction, but if h is negative I move in the positive direction, it does not change the sign...
- Hey there, I'm not an expert here, but it was an interesting exercise to figure out the answer to your questions and I figured I might as well post...
- Great Question. When x has a non-one and non-zero coefficient, the curve stretches or shrinks. When coefficient of x is larger than one, then the c...
- The general form of the absolute value function is: f(x) = a|x-h|+k When "a" is negative, the V-shape graph opens downward and the vertex is the ma...
- The range refers to the possible y values. Based on the table you gave us, it looks like there is a minimum y value. It looks like the y values sta...
- 𝑥 + 6 = 0 ⇒ 𝑥 = −6 𝑥 − 6 = 0 ⇒ 𝑥 = 6 This means that there are 3 scenarios we need to analyze: 𝑥 < −6 −6 ≤ 𝑥 < 6 𝑥 ≥ 6 – – – Scenario 1 – –...
One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn. Created by Sal Khan and Monterey Institute for Technology and Education.
- 6 min
- Sal Khan,Monterey Institute for Technology and Education
Jun 11, 2018 · So, there’s this thing called absolute value, or a modulus function that basically says how far away any real number n n is from 0 0. For example, |2| = 2 | 2 | = 2 because 2 2 is 2 2 units away from 0 0. Furthermore, a negative number’s ( ( such as −3) − 3) absolute value is simply its positive counterpart. So, | − 3| = 3 | − 3 | = 3.
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Apr 17, 2024 · Answer: Get a Widget for this Calculator. © Calculator Soup. Use this calculator to find the absolute value of numbers. Enter positive or negative whole numbers or decimals. What is Absolute Value? The absolute value of a number can be thought of as the distance to that number from 0 on a number line.
