Solve 1000*2-10^-6*10/42,3*3*14*2*10^-3

$$\frac { 1000 \cdot 2 - 10 ^ { - 6 } \cdot 10 } { 42,3 \cdot 3 \cdot 14 \cdot 2 \cdot 10 ^ { - 3 } }$$

Evaluate

$$\frac{199999999}{355320}\approx 562,872900484$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and 1 to get -5.

$$\frac{1000\times 2-10^{-5}}{42,3\times 3\times 14\times 2\times 10^{-3}}$$

Multiply 1000 and 2 to get 2000.

$$\frac{2000-10^{-5}}{42,3\times 3\times 14\times 2\times 10^{-3}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{2000-\frac{1}{100000}}{42,3\times 3\times 14\times 2\times 10^{-3}}$$

Subtract \frac{1}{100000} from 2000 to get \frac{199999999}{100000}.

$$\frac{\frac{199999999}{100000}}{42,3\times 3\times 14\times 2\times 10^{-3}}$$

Multiply 42,3 and 3 to get 126,9.

$$\frac{\frac{199999999}{100000}}{126,9\times 14\times 2\times 10^{-3}}$$

Multiply 126,9 and 14 to get 1776,6.

$$\frac{\frac{199999999}{100000}}{1776,6\times 2\times 10^{-3}}$$

Multiply 1776,6 and 2 to get 3553,2.

$$\frac{\frac{199999999}{100000}}{3553,2\times 10^{-3}}$$

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

$$\frac{\frac{199999999}{100000}}{3553,2\times \frac{1}{1000}}$$

Multiply 3553,2 and \frac{1}{1000} to get \frac{8883}{2500}.

$$\frac{\frac{199999999}{100000}}{\frac{8883}{2500}}$$

Divide \frac{199999999}{100000} by \frac{8883}{2500} by multiplying \frac{199999999}{100000} by the reciprocal of \frac{8883}{2500}.

$$\frac{199999999}{100000}\times \frac{2500}{8883}$$

Multiply \frac{199999999}{100000} and \frac{2500}{8883} to get \frac{199999999}{355320}.

$$\frac{199999999}{355320}$$

Factor

$$\frac{89 \cdot 1447 \cdot 1553}{5 \cdot 7 \cdot 47 \cdot 2 ^ {3} \cdot 3 ^ {3}} = 562\frac{310159}{355320} = 562.8729004840707$$