Solve 0.9*10^3*30*334*10^3div98

$$0.9 \times { 10 }^{ 3 } \times 30 \times 334 \times { 10 }^{ 3 } \div 98$$

Evaluate

$$\frac{4509000000}{49}\approx 92020408.163265306$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{0.9\times 10^{6}\times 30\times 334}{98}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{0.9\times 1000000\times 30\times 334}{98}$$

Multiply 0.9 and 1000000 to get 900000.

$$\frac{900000\times 30\times 334}{98}$$

Multiply 900000 and 30 to get 27000000.

$$\frac{27000000\times 334}{98}$$

Multiply 27000000 and 334 to get 9018000000.

$$\frac{9018000000}{98}$$

Reduce the fraction \frac{9018000000}{98} to lowest terms by extracting and canceling out 2.

$$\frac{4509000000}{49}$$

Factor

$$\frac{167 \cdot 2 ^ {6} \cdot 3 ^ {3} \cdot 5 ^ {6}}{7 ^ {2}} = 92020408\frac{8}{49} = 92020408.1632653$$