Question

1. the quotient of a number m and -3.2 is 15.

Explanation:

Step1: Translate the problem into an equation

The quotient of \( m \) and \( -3.2 \) is \( \frac{m}{-3.2} \), and this equals 15. So the equation is \( \frac{m}{-3.2}=15 \).

Step2: Solve for \( m \)

Multiply both sides of the equation by \( -3.2 \) to isolate \( m \). Using the property of equality, if \( \frac{m}{-3.2}=15 \), then \( m = 15\times(-3.2) \).
Calculating \( 15\times(-3.2) \), we know that \( 15\times3.2 = 48 \), so \( 15\times(-3.2)=-48 \).

Answer:

\( m = -48 \)