Solve 6.944*10^3*[4.187*0.5+9.8*36)

$$6.944 \times 10 ^ { 3 } \times [ 4.187 \times 0.5 + 9.8 \times 36 )$$

Evaluate

$$2464380.464$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$6.944\times 1000\left(4.187\times 0.5+9.8\times 36\right)$$

Multiply 6.944 and 1000 to get 6944.

$$6944\left(4.187\times 0.5+9.8\times 36\right)$$

Multiply 4.187 and 0.5 to get 2.0935.

$$6944\left(2.0935+9.8\times 36\right)$$

Multiply 9.8 and 36 to get 352.8.

$$6944\left(2.0935+352.8\right)$$

Add 2.0935 and 352.8 to get 354.8935.

$$6944\times 354.8935$$

Multiply 6944 and 354.8935 to get 2464380.464.

$$2464380.464$$

Factor

$$\frac{2 \cdot 7 \cdot 13 \cdot 31 \cdot 71 \cdot 769}{5 ^ {3}} = 2464380\frac{58}{125} = 2464380.464$$