Question

How do you express the phrase ‘5 a number t divided by 82’ as an algebraic expression?

Answer 1

Hint: We first try to make the given written statement in its mathematical form. We assume the variable $m$ to as the required number. Then we form a relationship. We then solve the given linear equation where we are finding the quotient of t and a number 82. We apply the binary operation of division. Then we need to multiply the quotient value with 5. We get the value of the variable $m$ as the solution.

Complete step by step answer:
The given statement about the required number $m$ is that it is equal to 5 of a number t divided by 82.
Let’s assume the solution as $m$.
First, we find the division where we need the quotient of t and a number 82 which means here t is the dividend or the numerator for its fraction form and 82 is the divisor or the denominator for its fraction form.
We form the mathematical statement as fraction form.
In a fraction $\dfrac{a}{b}$, the terms $a$ and $b$ are the numerator and denominator for the fraction.
Forming according to this we get the mathematical form as $\dfrac{t}{82}$.
Therefore, the algebraic expression is $\dfrac{t}{82}$.
Now we multiply $\dfrac{t}{82}$ with 5 which gives $5\left( \dfrac{t}{82} \right)$. This is equal to $\dfrac{5t}{82}$
Therefore, the final algebraic expression of 5 of a number t divided by 82 is $\dfrac{5t}{82}$.

Note:
We can also solve the system according to the value of $m$. As the required number is equal to $\dfrac{5t}{82}$, we can say that $\dfrac{5t}{82}=m$. Now in that case we are taking the extra variable which is unnecessary. But we can mention the variable to make it a single equation form.