Solve 0.3530+2*.01224+3*.0883+4*0.0469+0.0883*5+6*0.07822+7*0.05400+8*0.1765=

$$0.3530+2 \times .01224+3 \times .0883+4 \times 0.0469+0.0883 \times 5+6 \times 0.07822+7 \times 0.05400+8 \times 0.1765=$$

Evaluate

$$3.5308$$

Solution Steps

Multiply 2 and 0.01224 to get 0.02448.

$$0.353+0.02448+3\times 0.0883+4\times 0.0469+0.0883\times 5+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Add 0.353 and 0.02448 to get 0.37748.

$$0.37748+3\times 0.0883+4\times 0.0469+0.0883\times 5+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Multiply 3 and 0.0883 to get 0.2649.

$$0.37748+0.2649+4\times 0.0469+0.0883\times 5+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Add 0.37748 and 0.2649 to get 0.64238.

$$0.64238+4\times 0.0469+0.0883\times 5+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Multiply 4 and 0.0469 to get 0.1876.

$$0.64238+0.1876+0.0883\times 5+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Add 0.64238 and 0.1876 to get 0.82998.

$$0.82998+0.0883\times 5+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Multiply 0.0883 and 5 to get 0.4415.

$$0.82998+0.4415+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Add 0.82998 and 0.4415 to get 1.27148.

$$1.27148+6\times 0.07822+7\times 0.054+8\times 0.1765$$

Multiply 6 and 0.07822 to get 0.46932.

$$1.27148+0.46932+7\times 0.054+8\times 0.1765$$

Add 1.27148 and 0.46932 to get 1.7408.

$$1.7408+7\times 0.054+8\times 0.1765$$

Multiply 7 and 0.054 to get 0.378.

$$1.7408+0.378+8\times 0.1765$$

Add 1.7408 and 0.378 to get 2.1188.

$$2.1188+8\times 0.1765$$

Multiply 8 and 0.1765 to get 1.412.

$$2.1188+1.412$$

Add 2.1188 and 1.412 to get 3.5308.

$$3.5308$$

Factor

$$\frac{7 \cdot 13 \cdot 97}{2 ^ {2} \cdot 5 ^ {4}} = 3\frac{1327}{2500} = 3.5308$$