Solve 4.617+0.24*5.606+0.032*9.266-0.014*5.606^2+0.001*9.226^2-0.009*5.606*9.226

$$4.617+0.24 \times 5.606+0.032 \times 9.266-0.014 \times { 5.606 }^{ 2 } +0.001 \times { 9.226 }^{ 2 } -0.009 \times 5.606 \times 9.226$$

Evaluate

$$5.438601168$$

Solution Steps

Multiply 0.24 and 5.606 to get 1.34544.

$$4.617+1.34544+0.032\times 9.266-0.014\times 5.606^{2}+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Add 4.617 and 1.34544 to get 5.96244.

$$5.96244+0.032\times 9.266-0.014\times 5.606^{2}+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Multiply 0.032 and 9.266 to get 0.296512.

$$5.96244+0.296512-0.014\times 5.606^{2}+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Add 5.96244 and 0.296512 to get 6.258952.

$$6.258952-0.014\times 5.606^{2}+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Calculate 5.606 to the power of 2 and get 31.427236.

$$6.258952-0.014\times 31.427236+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Multiply 0.014 and 31.427236 to get 0.439981304.

$$6.258952-0.439981304+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Subtract 0.439981304 from 6.258952 to get 5.818970696.

$$5.818970696+0.001\times 9.226^{2}-0.009\times 5.606\times 9.226$$

Calculate 9.226 to the power of 2 and get 85.119076.

$$5.818970696+0.001\times 85.119076-0.009\times 5.606\times 9.226$$

Multiply 0.001 and 85.119076 to get 0.085119076.

$$5.818970696+0.085119076-0.009\times 5.606\times 9.226$$

Add 5.818970696 and 0.085119076 to get 5.904089772.

$$5.904089772-0.009\times 5.606\times 9.226$$

Multiply 0.009 and 5.606 to get 0.050454.

$$5.904089772-0.050454\times 9.226$$

Multiply 0.050454 and 9.226 to get 0.465488604.

$$5.904089772-0.465488604$$

Subtract 0.465488604 from 5.904089772 to get 5.438601168.

$$5.438601168$$

Factor

$$\frac{3 \cdot 7 \cdot 11 \cdot 8707 \cdot 13 ^ {2}}{2 ^ {5} \cdot 5 ^ {9}} = 5\frac{27412573}{62500000} = 5.438601168$$