To divide by a fraction, you can multiply by its inverse. complete the statements below to explain why this method works. plz me fill in the drop down menu

Multiply and divide are inverse operations.

Multiply by a number is the same as divide by its reciprocal.

Step-by-step explanation:

To divide by a fraction, you can multiply by its inverse.

If a number is defined as a/b, then the reciprocal of the number is b/a.

The given equation is

Here, and are inverse of each other.

Reason 1:

Multiply and divide are inverse operations.

Reason 2:

Multiply by a number is the same as divide by its reciprocal.

answer: -1

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)