Final answer:
The expression -2.2x(-2) divided by (-1/4)x5 equals -3.52. To solve, multiply -2.2 by -2 to get 4.4, then multiply -1/4 by 5 to get -1.25. Dividing 4.4 by -1.25 gives the result -3.52.
Step-by-step explanation:
To evaluate the expression -2.2 × (-2) divided by (-1/4) × 5, we first need to resolve both the numerator and the denominator. In the numerator, the product of -2.2 and -2 gives us a positive result because the sign rule states that a negative times a negative equals a positive. Therefore, -2.2 × (-2) equals 4.4.
In the denominator, first, we calculate the product of -1/4 and 5. Since a negative times a positive is a negative, our result is -5/4 or -1.25.
Now that we have both the numerator (4.4) and the denominator (-1.25), we divide the two. When we divide a positive number by a negative number, the result is negative. So, 4.4 divided by -1.25 equals -3.52.
Thus, the final result of the expression is -3.52.