Question

How do you write the word sentence of the quotient of a number and 5 is less than 4?

Answer 1

Hint: Here, we will represent the unknown number in the form of variable. Then we will use the keyword to represent the word phrase as an algebraic expression. An algebraic expression is defined as an expression with a combination of variables, constants and operators. The algebraic expression has no signs or equal signs like an algebraic equation.

Complete step by step solution:
We are given that the quotient of a number and 5 is less than 4.
Let the unknown number be represented in the form of a variable as \[x\].
We know that the quotient represents the arithmetic operation of division.
So, the quotient of a number and 5 can be represented as \[\dfrac{x}{5}\].
We know that the keyword “is less than” represents the arithmetic inequality sign.
So, the quotient of a number and 5 is less than 4 can be represented as \[\dfrac{x}{5} < 4\].

Therefore, the word phrases the quotient of a number and 5 is less than 4 can be represented in the form of an algebraic expression as \[\dfrac{x}{5} < 4\].

Note:
We know that a number of terms will add up to form an expression. A term is a product of its factors and factors are defined as a number or a variable. We should know that there is no single strategy for converting a word phrase into an algebraic expression. It can be done only by using the given keywords which indicates the arithmetic operations and thus suitable arithmetic operators are used. We should remember that if we are given “less than” then it represents the arithmetic operation Subtraction but in the word sentence, we are given that “is less than” then it represents the inequality sign. So, the algebraic expression is an algebraic inequality.