Question

How do you write an algebraic expression for the phrase (p multiplied by 3)?

Answer 1

Hint: To write an algebraic expression for the phrase (p multiplied by 3), we must know what “multiplied means”. And we know that “multiplied” means multiplication (or product) between two numbers. In the above “p multiplied by 3) means “p and 3” are two numbers which we have to write in the product form. The multiplication (or product) sign is $''\times ''$. So, we are going to put this sign between “p and 3” for the algebraic expression.

Complete step by step answer:
In the above problem, we are asked to write the algebraic expression for (p multiplied by 3). In this phrase, “p and 3” are two numbers. And the word “multiplied by” means we have to take the product between “p and 3”.
Taking product between “p and 3” we get,
$p\times 3$
In the above, $''\times ''$ is the representation for product (or multiplication).
In this way, we have written the algebraic expression for (p multiplied by 3) as $p\times 3$.
To further simplify this expression, we can write $p\times 3$ as $3p$.
Hence, the algebraic expression for $p\times 3$ is equal to $3p$.

Note: In the above, we have done the phrasal conversion into the algebraic form. This type of conversion you will find the word problems where some number is multiplied, added, subtracted or divided by another number. So, having knowledge of this phrasal conversion happens can help you solve such word problems in examination.
Also, the phrases that we have discussed above like:
“some number is multiplied, added, subtracted or divided by other number”
Here, we have to just do the multiplication, addition, subtraction or division between two numbers.