Question

A teacher asks her students to use the Multiplication Property ofX-4.4 = 3.4. Courtney writes x = 4.100 = 3.100. Have bothEquality to write an equation equivalent to x 4 = 3. Alondra writesstudents followed the teacher's instructions? Explain your reasoning.

Answer 1

we have the equation

$\frac{x}{4}=3$

Alondra

Multiply by 4 both sides (property equality of multiplication)

so

$\begin{gathered} \frac{x}{4}\cdot4=3\cdot4 \\ x=12 \end{gathered}$

Courtney

Multiply by 100 both sides (property equality of multiplication)

$\begin{gathered} \frac{x}{4}\cdot100=3\cdot100 \\ 25x=300 \end{gathered}$

therefore

Both followed the teacher's guidelines, but by multiplying by 4, Alondra was able to solve the equation, while Courtney had to apply additional steps.