Question

Write an algebraic expression for each verbal expression.

Two-fifths of the square of a number $j$

Short answer

The required algebraic expression is $\frac{2}{5}{j}^2$.

Step-by-step solution

Step 1. Write the given information.

The verbal expression is “two-fifth of the square of a number $j$”.

Step 2. Arithmetic operations were used.

The term “of” refers to Multiplication.

Step 3. Description of step.

So, two-fifth of the square of a number $j=\frac{2}{5}\times j^2=\frac{2}{5}{j}^2$.

Hence, The required algebraic expression is $\frac{2}{5}{j}^2$.