Question

How do you express “the quotient of p and 4, decreased by 320”?

Answer 1

Hint: The number we got from dividing one number by another is called quotient. Then the number which is in the numerator is called dividend and the number which is in denominator is called divisor.

Complete step by step answer:
As per the given question, we need to express the given expression “the quotient of p and 4, decreased by 320” in equation format.
Let us assume x is the value of the quotient of p and 4. since it is given it is decreased by 320. Then it becomes
\[\Rightarrow x-320\]
Here we need to write the quotient of p and 4 in equation form. That is since here we are dividing p with 4. Then the dividend will be p and the divisor will be 4. Since dividend is the numerator and divisor is the denominator. The quotient will be numerator by denominator. That is
\[\Rightarrow \dfrac{p}{4}\]
On substituting this in value in x the expression becomes
\[\Rightarrow \dfrac{p}{4}-320\]

Therefore, the expression for “the quotient of p and 4, decreased by 320” is
\[\dfrac{p}{4}-320\].

Note: In order to solve such types of questions, we need to have enough knowledge over the difference between dividend and divisor and also we need to check which value comes in denominator and numerator to avoid confusion. Here in the expression the value is decreased if it was mentioned increased then we need to keep the symbol \[''+''\]. We must avoid calculation mistakes to get the expected answers.