Solve 2.4*10^-3/1.23*10^3

$$\frac{ 2.4 \times { 10 }^{ -3 } }{ 1.23 \times { 10 }^{ 3 } }$$

Evaluate

$$\frac{1}{512500}\approx 0.000001951$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2.4}{1.23\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{2.4}{1.23\times 1000000}$$

Multiply 1.23 and 1000000 to get 1230000.

$$\frac{2.4}{1230000}$$

Expand \frac{2.4}{1230000} by multiplying both numerator and the denominator by 10.

$$\frac{24}{12300000}$$

Reduce the fraction \frac{24}{12300000} to lowest terms by extracting and canceling out 24.

$$\frac{1}{512500}$$

Factor

$$\frac{1}{41 \cdot 2 ^ {2} \cdot 5 ^ {5}} = 1.951219512195122 \times 10^{-6}$$