Question

How do you write the algebraic expression: the product of 2.5 and a number t?

Answer 1

Hint: Here in this question, we need to translate the given words into algebraic expression. We have to write the expression in the form of numbers and variables. In the given question, 2.5 is a number whereas ‘t’ is a variable and we have to write in product which means we have to write in multiplicative form. The answer will be a monomial expression.

Complete step by step answer:
Now, let’s solve the question.
About algebraic expression, we should know at least three definitions: variable, coefficient and constant. Variable is an alphabet whose value is unknown to us. Coefficient is a constant value which is in product with the variable. For example: In 5x, 5 is a coefficient of ‘x’. Constant is a value which is alone in the expression and it is fixed. For example: In 3x+8, 8 is a constant term.
There are mainly 3 types of algebraic expression. They are: monomial expression, binomial expression and polynomial expression. Algebraic expression which contains a single term is called a monomial expression. For example: 3x, $4{{y}^{2}}$ , 2xy etc. Algebraic expression containing two terms is called a binomial expression. For example: $2{{x}^{2}}+5$, 3y – 7 etc. Algebraic expression containing more than two terms is called a polynomial expression. For example: ax + by + ca, 4x + 6y + 9 etc.
Now, in this question we are given in words ‘the product of 2.5 and a number t’. Here the product means to multiply. We have to multiply a 2.5 with a number ‘t’ which is nothing but a variable.
So, the algebraic expression will be: 2.5t

Note: The expression we obtained finally is a variable expression because it contains the variable ‘t’. We just have to find the expression, there is no need to make it an equation and to find the value of ‘t’. So, don’t make this mistake. Students must know the meaning of some simple words like less than means minus, added to means to add, times, product and of means to multiply.