Solve 7-8.4*0.1+3*(-4*0.25+3^2)+4.1+2

$$7 - 8.4 \cdot 0.1 + 3 \cdot ( - 4 \cdot 0.25 + 3 ^ { 2 } ) + 4.1 + 2$$

Evaluate

$$36.26$$

Solution Steps

Multiply 8.4 and 0.1 to get 0.84.

$$7-0.84+3\left(-4\times 0.25+3^{2}\right)+4.1+2$$

Subtract 0.84 from 7 to get 6.16.

$$6.16+3\left(-4\times 0.25+3^{2}\right)+4.1+2$$

Multiply -4 and 0.25 to get -1.

$$6.16+3\left(-1+3^{2}\right)+4.1+2$$

Calculate 3 to the power of 2 and get 9.

$$6.16+3\left(-1+9\right)+4.1+2$$

Add -1 and 9 to get 8.

$$6.16+3\times 8+4.1+2$$

Multiply 3 and 8 to get 24.

$$6.16+24+4.1+2$$

Add 6.16 and 24 to get 30.16.

$$30.16+4.1+2$$

Add 30.16 and 4.1 to get 34.26.

$$34.26+2$$

Add 34.26 and 2 to get 36.26.

$$36.26$$

Factor

$$\frac{37 \cdot 7 ^ {2}}{2 \cdot 5 ^ {2}} = 36\frac{13}{50} = 36.26$$