Question

How to symbolize modulus?

Answer 1

Hint: The modulus of a number is its absolute size. This means we can ignore the sign of the number. We can represent the modulus of a number, say x, in two ways.

Complete step-by-step answer:
We have to show the symbol for modulus. Let us first see what modulus is. The modulus of a number is its absolute size. This means we can ignore the sign of the number. We can represent the modulus of a number, say x, in two ways. One way is to write it as $abs\left( x \right)$ . The other way is to represent it as $\left| x \right|$ .
Hence, modulus of a number, say x, is represented as $abs\left( x \right)$ or $\left| x \right|$ .

Note: Modulus of a positive number is always positive. For example, let us consider $\left| 6 \right|$ . Its value will be $\left| 6 \right|=6$ . Modulus of a negative number is always positive. For example, let us consider $\left| -6 \right|$ . Modulus of 0 will be 0 itself. Its value will be $\left| -6 \right|=6$ . In general, we can say that $\left| x \right|=\left| -x \right|=x$ . Modulus of 0 will be 0 itself. We use the modulus symbol with inequalities. We may represent a number as $\left| x \right| < 1$ . This means that all numbers whose actual size, irrespective of sign, is less than 1. We can say that x varies between -1 and 1. That is, $\left| x \right|< 1\text{ means }-1 < x < 1$ . Suppose we write an inequality $\left| x \right|>1$ . This means any value greater than 1 and any value less than −1, that is, $\left| x \right|>1\text{ means }x>1,x < -1$ .