Question

Write the numerical and literal coefficient of $$-{\displaystyle \frac{5}{7}}m{n}^2$$.

Answer 1

Hint: Here, we have given a mathematical term. In the given expression numerical value with its sign associated with the term is its numerical coefficient and variable associated with the term is literal coefficient.

Complete step-by-step answer:
In these types of questions, while writing numerical coefficients also take its sign whether negative or positive. Although positive sign is understood, do not forget to take negative sign if there is any negative sign in the term. For literal coefficients, it can be understood as all variables collectively taken from the term are known as literal coefficients. Literal coefficient means the coefficient of constant term or variable present in the term.
 We have given term $$-{\displaystyle \frac{5}{7}}m{n}^2$$
A constant multiplier of the variables in a term is called numerical coefficient.
A variable used to represent a number is called literal coefficient.
Here in the term $$-{\displaystyle \frac{5}{7}}m{n}^2$$
Numerical coefficient = $$-{\displaystyle \frac{5}{7}}$$ and Literal coefficient = $$m{n}^2$$.

Note: Mathematical Term means all constant and variable connected by multiplication and division only is known as mathematical term. In the expression (2xy + 7x) there are two terms one is 2xy and other is 7x, we cannot say (2xy + 7x) as one mathematical term. Here also do not confuse in finding the numerical coefficient and literal coefficient of each term, if you are asked to find numerical coefficient and literal coefficient of each term of the expression (2xy + 7x), then separate the two terms and then find the numerical coefficient and literal coefficient of each term separately.