Solve 1.3*10^8*2*1.4/2.3*10^6

$$\frac{ 1.3 \times { 10 }^{ 8 } \times 2 \times 1.4 }{ 2.3 \times { 10 }^{ 6 } }$$

Evaluate

$$\frac{3640}{23}\approx 158.260869565$$

Solution Steps

Cancel out 10^{6} in both numerator and denominator.

$$\frac{1.3\times 1.4\times 2\times 10^{2}}{2.3}$$

Multiply 1.3 and 1.4 to get 1.82.

$$\frac{1.82\times 2\times 10^{2}}{2.3}$$

Multiply 1.82 and 2 to get 3.64.

$$\frac{3.64\times 10^{2}}{2.3}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{3.64\times 100}{2.3}$$

Multiply 3.64 and 100 to get 364.

$$\frac{364}{2.3}$$

Expand \frac{364}{2.3} by multiplying both numerator and the denominator by 10.

$$\frac{3640}{23}$$

Factor

$$\frac{5 \cdot 7 \cdot 13 \cdot 2 ^ {3}}{23} = 158\frac{6}{23} = 158.2608695652174$$