Solve 1.96*10^-3div9.8

$$1.96 \times { 10 }^{ -3 } \div 9.8$$

Evaluate

$$0.0002$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1.96\times \frac{1}{1000}}{9.8}$$

Multiply 1.96 and \frac{1}{1000} to get \frac{49}{25000}.

$$\frac{\frac{49}{25000}}{9.8}$$

Express \frac{\frac{49}{25000}}{9.8} as a single fraction.

$$\frac{49}{25000\times 9.8}$$

Multiply 25000 and 9.8 to get 245000.

$$\frac{49}{245000}$$

Reduce the fraction \frac{49}{245000} to lowest terms by extracting and canceling out 49.

$$\frac{1}{5000}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {4}} = 0.0002$$