Solve 64*0.3+81*0.2+100*0.5+left(0.3*8+0.2*9+0.5*10right)^2

$$64 \times 0.3+81 \times 0.2+100 \times 0.5+ { \left(0.3 \times 8+0.2 \times 9+0.5 \times 10 \right) }^{ 2 }$$

Evaluate

$$170.04$$

Solution Steps

Multiply 64 and 0.3 to get 19.2.

$$19.2+81\times 0.2+100\times 0.5+\left(0.3\times 8+0.2\times 9+0.5\times 10\right)^{2}$$

Multiply 81 and 0.2 to get 16.2.

$$19.2+16.2+100\times 0.5+\left(0.3\times 8+0.2\times 9+0.5\times 10\right)^{2}$$

Add 19.2 and 16.2 to get 35.4.

$$35.4+100\times 0.5+\left(0.3\times 8+0.2\times 9+0.5\times 10\right)^{2}$$

Multiply 100 and 0.5 to get 50.

$$35.4+50+\left(0.3\times 8+0.2\times 9+0.5\times 10\right)^{2}$$

Add 35.4 and 50 to get 85.4.

$$85.4+\left(0.3\times 8+0.2\times 9+0.5\times 10\right)^{2}$$

Multiply 0.3 and 8 to get 2.4.

$$85.4+\left(2.4+0.2\times 9+0.5\times 10\right)^{2}$$

Multiply 0.2 and 9 to get 1.8.

$$85.4+\left(2.4+1.8+0.5\times 10\right)^{2}$$

Add 2.4 and 1.8 to get 4.2.

$$85.4+\left(4.2+0.5\times 10\right)^{2}$$

Multiply 0.5 and 10 to get 5.

$$85.4+\left(4.2+5\right)^{2}$$

Add 4.2 and 5 to get 9.2.

$$85.4+9.2^{2}$$

Calculate 9.2 to the power of 2 and get 84.64.

$$85.4+84.64$$

Add 85.4 and 84.64 to get 170.04.

$$170.04$$

Factor

$$\frac{3 \cdot 13 \cdot 109}{5 ^ {2}} = 170\frac{1}{25} = 170.04$$