Solve 0.234+2*0.312+3*0.172+4*0.125+5*0.62+6*0.16+7*0.16+8*0.16

$$0.234+2 \times 0.312+3 \times 0.172+4 \times 0.125+5 \times 0.62+6 \times 0.16+7 \times 0.16+8 \times 0.16$$

Evaluate

$$8.334$$

Solution Steps

Multiply 2 and 0.312 to get 0.624.

$$0.234+0.624+3\times 0.172+4\times 0.125+5\times 0.62+6\times 0.16+7\times 0.16+8\times 0.16$$

Add 0.234 and 0.624 to get 0.858.

$$0.858+3\times 0.172+4\times 0.125+5\times 0.62+6\times 0.16+7\times 0.16+8\times 0.16$$

Multiply 3 and 0.172 to get 0.516.

$$0.858+0.516+4\times 0.125+5\times 0.62+6\times 0.16+7\times 0.16+8\times 0.16$$

Add 0.858 and 0.516 to get 1.374.

$$1.374+4\times 0.125+5\times 0.62+6\times 0.16+7\times 0.16+8\times 0.16$$

Multiply 4 and 0.125 to get 0.5.

$$1.374+0.5+5\times 0.62+6\times 0.16+7\times 0.16+8\times 0.16$$

Add 1.374 and 0.5 to get 1.874.

$$1.874+5\times 0.62+6\times 0.16+7\times 0.16+8\times 0.16$$

Multiply 5 and 0.62 to get 3.1.

$$1.874+3.1+6\times 0.16+7\times 0.16+8\times 0.16$$

Add 1.874 and 3.1 to get 4.974.

$$4.974+6\times 0.16+7\times 0.16+8\times 0.16$$

Multiply 6 and 0.16 to get 0.96.

$$4.974+0.96+7\times 0.16+8\times 0.16$$

Add 4.974 and 0.96 to get 5.934.

$$5.934+7\times 0.16+8\times 0.16$$

Multiply 7 and 0.16 to get 1.12.

$$5.934+1.12+8\times 0.16$$

Add 5.934 and 1.12 to get 7.054.

$$7.054+8\times 0.16$$

Multiply 8 and 0.16 to get 1.28.

$$7.054+1.28$$

Add 7.054 and 1.28 to get 8.334.

$$8.334$$

Factor

$$\frac{463 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {3}} = 8\frac{167}{500} = 8.334$$