Question

How do you write: Three more than the product of ten and a number?

Answer 1

Hint: Here, we will assume the unknown number to be some variable. Then we will represent the math phrase as an algebraic expression by using the keyword of the phrase. 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 the word phrase three more than the product of ten and a number.
Let the unknown number be represented in the form of variable \[x\].
We know that the product represents the arithmetic operation of multiplication.
So, the product of ten and a number can be represented as \[10 \times x\] or \[10x\].
We know that the keyword more than represents the arithmetic operation of addition.
So, three more than the product of ten and a number can be represented as \[10x + 3\].

Therefore, the math phrases three more than the product of ten and a number can be represented in the form of an algebraic expression as \[10x + 3\].

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 math 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. An expression is said to be monomial if it has only one term. An expression is said to be binomial if it has two terms. An expression is said to be trinomial if it has three terms. So, the algebraic expression \[10x + 3\] is a binomial expression.