Question

How do you write a numerical or variable expression for each quantity: two dozen eggs?

Answer 1

Hint:In the given question, you have been asked to write an expression in numerical expression as well as variable expression. In order to write the given expression in the question into a numerical expression, you have to write the statement in such a way that only involves mathematical operations such as addition, subtraction, multiplication and division. In order to write the given statement into a variable expression, you need to add a variable in a statement as it represents the value of an expression and the value of this variable can vary.

Complete step by step answer:
We have the given statement:
\[\Rightarrow \] Two dozen eggs
To write the numerical expression for the given statement:
Here, Dozen=12
Two dozen=\[2\times 12=24\]
Therefore, the numerical expression for 2 dozen eggs would be 24 eggs.
Now, to write the variable expression for the given statement:
\[\Rightarrow \] Two dozen eggs
Here, dozen=12
As we solved above, the numerical expression for 2 dozen eggs is equal to 24.
So we know,
The total quantity of eggs=24
Let, there is ‘’\[d\]’’ dozen egg
Here, the variable expression would be:
\[12\times d=24\],
Where \[d=2\], given in the statement.

Therefore, the variable expression for 2 dozen eggs would be \[12d=24\], where \[d=2\].

Note:Here, we already know that there are 2 dozen eggs i.e. a specific amount, then we can write the numerical expression, if the specific quantity wasn't given in the question, we will not be able to write it. If we don’t know about the quantity of the given specific things, variable expression would be used as we can use variables only where we don’t know about the specific amount as the value of variable can vary and all the values of a variable should satisfy the statement.