Enter the number that makes the following mathematical statement true. (1 point)

−3/10⋅

=1

1 answer

To find the number that makes the equation \(-\frac{3}{10} \cdot x = 1\) true, you can solve for \(x\) by isolating it.

Here are the steps:

  1. Start with the equation: \[ -\frac{3}{10} \cdot x = 1 \]

  2. To isolate \(x\), divide both sides by \(-\frac{3}{10}\): \[ x = \frac{1}{-\frac{3}{10}} \]

  3. Dividing by a fraction is the same as multiplying by its reciprocal: \[ x = 1 \cdot \left(-\frac{10}{3}\right) = -\frac{10}{3} \]

So, the number that makes the statement true is: \[ \boxed{-\frac{10}{3}} \]