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- Negative Numbers on the Number Line. Negative numbers seem a little scary at first, but they really aren’t that bad. Let’s first re-introduce our number line
- Absolute Value. The absolute value of a number (also called the modulus) is the distance from $ 0$, so it is always a positive number. It is written with two lines around the number, and it is simply the positive value of what’s inside the lines, whether the number is positive or negative.
- Adding and Subtracting Negative Numbers. Let’s talk about adding and subtracting negative numbers. For the number $ -2$, this means that we are two places to the left of the $ 0$ and four places to the left of the $ 2$.
- Multiplying and Dividing Negative Numbers. Now let’s talk about multiplying and dividing with negative numbers. This is actually easier, as there as fewer rules
The absolute value of a number or integer 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 can define the absolute values like the following: { a if a ≥ 0 } |a| = { -a if a < 0 }
- The absolute value of a number represents the distance of the number from zero in a number line.
- The absolute value of 4 is 4. |4| = 4
- The absolute value of -12 is 12. Since the distance between -12 and 0 in a number line is 12.
- The symbol to represent absolute value is |x|, where x is an integer.
- The absolute value of -7 is 7. It is represented by |-7| = 7.
- Absolute value of any integer is always positive and never negative.
Apr 25, 2016 · The absolute value of a negative number makes it a positive number. Placing absolute value bars around 0 doesn’t change its value, so |0| = 0. Placing a minus sign outside absolute value bars gives you a negative result — for example, –|6| = –6, and –|–6| = –6.
- Mark Zegarelli
As this illustrates, if you take the negative of an absolute value (that is, if you have a "minus" sign in front of the absolute-value bars), you will get a negative number for your answer. When typing math as text, such as in an e-mail, the "pipe" character is usually used to indicate absolute values.
- Absolute Valuemeans ...
- No Negatives!
- Absolute Value Symbol
- Subtract Either Way Around
- More Examples
... only how fara number is from zero: "6" is 6 away from zero, and "−6" is also6 away from zero. So the absolute value of 6 is 6, and the absolute value of −6 is also 6 More Examples: 1. The absolute value of −9 is 9 2. The absolute value of 3 is 3 3. The absolute value of 0 is 0 4. The absolute value of −156 is 156
So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).
To show that we want the absolute value of something, we put "|" marks either side (they are called "bars" and are found on the right side of a keyboard), like these examples: Sometimes absolute value is also written as "abs()", so abs(−1) = 1 is the same as |−1| = 1
And it doesn't matter which way around we do a subtraction, the absolute value will always be the same: |8−3| = 5 (8−3 = 5) |3−8| = 5 (3−8 = −5, and |−5| = 5)
Here are some more examples of how to handle absolute values: Learn more at Absolute Value in Algebra
How Do you Find the Absolute Value of a Negative Number? The absolute value of a negative number is also a positive value. If a number x < 0, then its absolute value is given by, |x| = -x. For example, |-2| = 2. Irrespective of the sign of the numeric value, the absolute value is always non-negative. What Is the Use of Absolute Value?
In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative (in which case negating makes positive), and . For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3.
