Solve 1.0986+1.5*0.2877-0.0323*(1.5)*(0.5)+0.0040*1.5*0.5*0.5*(-0.5)

$$1.0986 + 1.5 \times 0.2877 - 0.0323 \times ( 1.5 ) \times ( 0.5 ) + 0.0040 \times 1.5 \times 0.5 \times 0.5 \times ( - 0.5 )$$

Evaluate

$$1.505175$$

Solution Steps

Multiply 1.5 and 0.2877 to get 0.43155.

$$1.0986+0.43155-0.0323\times 1.5\times 0.5+0.004\times 1.5\times 0.5\times 0.5\left(-0.5\right)$$

Add 1.0986 and 0.43155 to get 1.53015.

$$1.53015-0.0323\times 1.5\times 0.5+0.004\times 1.5\times 0.5\times 0.5\left(-0.5\right)$$

Multiply 0.0323 and 1.5 to get 0.04845.

$$1.53015-0.04845\times 0.5+0.004\times 1.5\times 0.5\times 0.5\left(-0.5\right)$$

Multiply 0.04845 and 0.5 to get 0.024225.

$$1.53015-0.024225+0.004\times 1.5\times 0.5\times 0.5\left(-0.5\right)$$

Subtract 0.024225 from 1.53015 to get 1.505925.

$$1.505925+0.004\times 1.5\times 0.5\times 0.5\left(-0.5\right)$$

Multiply 0.004 and 1.5 to get 0.006.

$$1.505925+0.006\times 0.5\times 0.5\left(-0.5\right)$$

Multiply 0.006 and 0.5 to get 0.003.

$$1.505925+0.003\times 0.5\left(-0.5\right)$$

Multiply 0.003 and 0.5 to get 0.0015.

$$1.505925+0.0015\left(-0.5\right)$$

Multiply 0.0015 and -0.5 to get -0.00075.

$$1.505925-0.00075$$

Subtract 0.00075 from 1.505925 to get 1.505175.

$$1.505175$$

Factor

$$\frac{3 \cdot 7 \cdot 47 \cdot 61}{2 ^ {6} \cdot 5 ^ {4}} = 1\frac{20207}{40000} = 1.505175$$