Solve 9*10^9(-2.1*10^-4/0.2-2.1*10^-4/0.4)

$$9 \times 10 ^ { 9 } ( \frac { - 2.1 \times 10 ^ { - 4 } } { 0.2 } - \frac { 2.1 \times 10 ^ { - 4 } } { 0.4 } )$$

Evaluate

$$-14175000$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\left(\frac{-2.1\times 10^{-4}}{0.2}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\left(\frac{-2.1\times 10^{-4}}{0.2}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$9000000000\left(\frac{-2.1\times \frac{1}{10000}}{0.2}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Multiply -2.1 and \frac{1}{10000} to get -\frac{21}{100000}.

$$9000000000\left(\frac{-\frac{21}{100000}}{0.2}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Express \frac{-\frac{21}{100000}}{0.2} as a single fraction.

$$9000000000\left(\frac{-21}{100000\times 0.2}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Multiply 100000 and 0.2 to get 20000.

$$9000000000\left(\frac{-21}{20000}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Fraction \frac{-21}{20000} can be rewritten as -\frac{21}{20000} by extracting the negative sign.

$$9000000000\left(-\frac{21}{20000}-\frac{2.1\times 10^{-4}}{0.4}\right)$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$9000000000\left(-\frac{21}{20000}-\frac{2.1\times \frac{1}{10000}}{0.4}\right)$$

Multiply 2.1 and \frac{1}{10000} to get \frac{21}{100000}.

$$9000000000\left(-\frac{21}{20000}-\frac{\frac{21}{100000}}{0.4}\right)$$

Express \frac{\frac{21}{100000}}{0.4} as a single fraction.

$$9000000000\left(-\frac{21}{20000}-\frac{21}{100000\times 0.4}\right)$$

Multiply 100000 and 0.4 to get 40000.

$$9000000000\left(-\frac{21}{20000}-\frac{21}{40000}\right)$$

Subtract \frac{21}{40000} from -\frac{21}{20000} to get -\frac{63}{40000}.

$$9000000000\left(-\frac{63}{40000}\right)$$

Multiply 9000000000 and -\frac{63}{40000} to get -14175000.

$$-14175000$$

Factor

$$-14175000$$