Solve 0.234+2*0.312+3*0.172+4*0.125+5*0.062+6*0.016+7*0.016+8*0.016

$$0.234+2 \cdot 0.312+3 \cdot 0.172+4 \cdot 0.125+5 \cdot 0.062+6 \cdot 0.016+7 \cdot 0.016+8 \cdot 0.016$$

Evaluate

$$2.52$$

Solution Steps

Multiply 2 and 0.312 to get 0.624.

$$0.234+0.624+3\times 0.172+4\times 0.125+5\times 0.062+6\times 0.016+7\times 0.016+8\times 0.016$$

Add 0.234 and 0.624 to get 0.858.

$$0.858+3\times 0.172+4\times 0.125+5\times 0.062+6\times 0.016+7\times 0.016+8\times 0.016$$

Multiply 3 and 0.172 to get 0.516.

$$0.858+0.516+4\times 0.125+5\times 0.062+6\times 0.016+7\times 0.016+8\times 0.016$$

Add 0.858 and 0.516 to get 1.374.

$$1.374+4\times 0.125+5\times 0.062+6\times 0.016+7\times 0.016+8\times 0.016$$

Multiply 4 and 0.125 to get 0.5.

$$1.374+0.5+5\times 0.062+6\times 0.016+7\times 0.016+8\times 0.016$$

Add 1.374 and 0.5 to get 1.874.

$$1.874+5\times 0.062+6\times 0.016+7\times 0.016+8\times 0.016$$

Multiply 5 and 0.062 to get 0.31.

$$1.874+0.31+6\times 0.016+7\times 0.016+8\times 0.016$$

Add 1.874 and 0.31 to get 2.184.

$$2.184+6\times 0.016+7\times 0.016+8\times 0.016$$

Multiply 6 and 0.016 to get 0.096.

$$2.184+0.096+7\times 0.016+8\times 0.016$$

Add 2.184 and 0.096 to get 2.28.

$$2.28+7\times 0.016+8\times 0.016$$

Multiply 7 and 0.016 to get 0.112.

$$2.28+0.112+8\times 0.016$$

Add 2.28 and 0.112 to get 2.392.

$$2.392+8\times 0.016$$

Multiply 8 and 0.016 to get 0.128.

$$2.392+0.128$$

Add 2.392 and 0.128 to get 2.52.

$$2.52$$

Factor

$$\frac{7 \cdot 3 ^ {2}}{5 ^ {2}} = 2\frac{13}{25} = 2.52$$