Question

How do you translate “the product of a number and 11” into an algebraic expression?

Answer 1

Hint: Mathematical expression and algebraic expression both are the same. An algebraic expression in mathematics is an expression which is made up of variables (unknown values) and constants along with algebraic operations. An expression is a group of terms. We know that algebraic operations are addition, subtraction, division and multiplication etc. We know that quotients are the result of division between two numbers

Complete step-by-step solution:
Given “the product of a number and 11”
We take an unknown as ‘x’, which is a number in our given problem.
Then we have
\[ \Rightarrow x \times 11\].
Where ‘x’ is a variable. Also for the different values of ‘x’ we will have a different solution.
Thus \[x \times 11\] the required algebraic expression. Because we have a constant ‘11’ and a variable ‘x’. Also we have algebraic operations multiplication.

Hence the correct answer is \[x \times 11\]

Note: A variable is a symbol for a number that we don’t know yet. Generally it is represented by alphabetic letters. A number on its own is called a constant. Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation\[( + )\]. Similarly If we have ‘less’ or ‘difference’ we use subtraction \[( - )\]. If we have a ‘quotient’ we use division operation\[( \div )\]. To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.