Solve 1.3^2*3+0.3^2*2+0.7^2*4+1.7^2*1=

$${ 1.3 }^{ 2 } \times 3+ { 0.3 }^{ 2 } \times 2+ { 0.7 }^{ 2 } \times 4+ { 1.7 }^{ 2 } \times 1=$$

Evaluate

$$10.1$$

Solution Steps

Calculate 1.3 to the power of 2 and get 1.69.

$$1.69\times 3+0.3^{2}\times 2+0.7^{2}\times 4+1.7^{2}\times 1$$

Multiply 1.69 and 3 to get 5.07.

$$5.07+0.3^{2}\times 2+0.7^{2}\times 4+1.7^{2}\times 1$$

Calculate 0.3 to the power of 2 and get 0.09.

$$5.07+0.09\times 2+0.7^{2}\times 4+1.7^{2}\times 1$$

Multiply 0.09 and 2 to get 0.18.

$$5.07+0.18+0.7^{2}\times 4+1.7^{2}\times 1$$

Add 5.07 and 0.18 to get 5.25.

$$5.25+0.7^{2}\times 4+1.7^{2}\times 1$$

Calculate 0.7 to the power of 2 and get 0.49.

$$5.25+0.49\times 4+1.7^{2}\times 1$$

Multiply 0.49 and 4 to get 1.96.

$$5.25+1.96+1.7^{2}\times 1$$

Add 5.25 and 1.96 to get 7.21.

$$7.21+1.7^{2}\times 1$$

Calculate 1.7 to the power of 2 and get 2.89.

$$7.21+2.89\times 1$$

Multiply 2.89 and 1 to get 2.89.

$$7.21+2.89$$

Add 7.21 and 2.89 to get 10.1.

$$10.1$$

Factor

$$\frac{101}{2 \cdot 5} = 10\frac{1}{10} = 10.1$$