Solve 1.9804+0.05[-0.9004-0.2+1.9411^2)

$$1.9804 + 0.05 [ - 0.9004 - 0.2 + 1.9411 ^ { 2 } )$$

Evaluate

$$2.1137734605$$

Solution Steps

Subtract 0.2 from -0.9004 to get -1.1004.

$$1.9804+0.05\left(-1.1004+1.9411^{2}\right)$$

Calculate 1.9411 to the power of 2 and get 3.76786921.

$$1.9804+0.05\left(-1.1004+3.76786921\right)$$

Add -1.1004 and 3.76786921 to get 2.66746921.

$$1.9804+0.05\times 2.66746921$$

Multiply 0.05 and 2.66746921 to get 0.1333734605.

$$1.9804+0.1333734605$$

Add 1.9804 and 0.1333734605 to get 2.1137734605.

$$2.1137734605$$

Factor

$$\frac{3 \cdot 13 \cdot 467 \cdot 232117}{2 ^ {10} \cdot 5 ^ {9}} = 2\frac{227546921}{2000000000} = 2.1137734605$$