Use the properties of operations and the rules for multiplying and dividing to solve. (-2)×(1-5)÷(2-3)×(5-6)÷(3-4)

1 answer

To solve the expression (-2)×(1-5)÷(2-3)×(5-6)÷(3-4), we can use the order of operations:

First, we start by evaluating the expression inside the parentheses.

(-2)×(1-5) becomes (-2)×(-4). We can multiply these two numbers:

(-2)×(-4) = 8.

Next, we evaluate (2-3):

(2-3) = -1.

And finally, we evaluate (5-6):

(5-6) = -1.

Now we substitute these values back into the original expression:

8÷(-1)×(-1)÷(3-4).

Next, we evaluate 3-4:

(3-4) = -1.

Now we can substitute this value into the expression:

8÷(-1)×(-1)÷(-1).

Next, we use the properties of operations to simplify the expression.

8÷(-1) = -8. And (-1)×(-1) = 1.

So the expression simplifies to:

-8×1÷(-1).

Finally, we multiply -8 by 1:

-8×1 = -8.

And then we divide -8 by -1:

-8÷(-1) = 8.

Therefore, the solution to the expression (-2)×(1-5)÷(2-3)×(5-6)÷(3-4) is 8.