Question

Simplify the expression: (4/10)² - 19 + (-5/|6.7 - 9.2|) × 3.81

1) -26.46
2) -25.82
3) -11.22
4) -10.58

Answer 1

To simplify the given mathematical expression, we calculate each part step-by-step, which results in the final simplified expression of -26.46.

Step-by-step explanation:

To simplify the expression: (4/10)² - 19 + (-5/|6.7 - 9.2|) × 3.81, follow these steps:

1. Calculate the square of 4/10, which is (4/10)² = (2/5)² = 4/25.
2. Find the absolute difference in the denominator of the third term: |6.7 - 9.2| = 2.5.
3. Divide -5 by the absolute difference: -5/2.5 = -2.
4. Multiply this by 3.81: -2 × 3.81 = -7.62.
5. Now, combine all the terms together: (4/25) - 19 + (-7.62).
6. Since 4/25 is 0.16, the expression becomes: 0.16 - 19 - 7.62.
7. Finally, calculate the sum of the terms: 0.16 - 19 - 7.62 = -26.46.

Therefore, the simplified expression equals -26.46, which corresponds to option 1.