What is 1 – 1 in absolute value?
To understand what the expression 1 – 1 in absolute value means, let’s first break it down. In mathematics, the absolute value of a number is its distance from zero on the number line. It makes negative numbers positive and leaves positive numbers unchanged. So, when we evaluate 1 – 1 in absolute value, we are essentially finding the absolute value of the difference between 1 and 1.
What is 1 – 1 in absolute value?
The expression 1 – 1, in absolute value, equals 0. The absolute value of any number minus itself is always zero. Therefore, the absolute value of 1 – 1 is 0.
Now, let’s explore some related frequently asked questions about absolute value.
What is absolute value?
Absolute value refers to the non-negative value of a real number regardless of its sign. It is often denoted using vertical bars |x|.
What is the absolute value of zero?
The absolute value of zero is also zero since zero is equidistant from both positive and negative numbers.
What is the absolute value of a positive number?
The absolute value of any positive number is the number itself. For example, the absolute value of 5 is 5.
What is the absolute value of a negative number?
The absolute value of any negative number is the positive equivalent of that number. For example, the absolute value of -5 is 5.
What is the absolute value of -1?
The absolute value of -1 is 1. The absolute value function makes negative numbers positive, so -1 becomes 1.
What is the absolute value of 1?
The absolute value of 1 is 1. Positive numbers remain unchanged when using the absolute value function.
Is absolute value always positive?
Yes, the absolute value is always positive or zero if the number is zero.
What is absolute value used for?
Absolute value has various applications in mathematics, science, and everyday life. It is commonly used for finding the distance between two points, solving inequalities, and simplifying expressions involving absolute value.
Can a number be its own absolute value?
Yes, a number can be its own absolute value, but only if it is non-negative. For example, both 5 and 0 are equal to their absolute values.
Can the absolute value of a number be negative?
No, the absolute value is always non-negative. It represents the distance from zero, which cannot be negative.
What happens when you take the absolute value of a complex number?
When taking the absolute value of a complex number, the result is its distance from the origin in the complex plane. It is calculated by summing the squares of the real and imaginary parts and then finding the square root of that sum.
Can there be multiple absolute values of a number?
No, for any given real number, there is only one absolute value. The absolute value function yields a unique non-negative value.
Can absolute value be applied to variables or expressions?
Yes, absolute value can be applied to variables and expressions. When applied, it evaluates the numerical value of the variable or expression without considering its sign.