Solve (4-1*10^-2)*(2-3*10^7)

$$( 4 - 1 \times 10 ^ { - 2 } ) \times ( 2 - 3 \times 10 ^ { 7 } )$$

Evaluate

$$-\frac{5984999601}{50}=-119699992.02$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\left(4-1\times \frac{1}{100}\right)\left(2-3\times 10^{7}\right)$$

Multiply 1 and \frac{1}{100} to get \frac{1}{100}.

$$\left(4-\frac{1}{100}\right)\left(2-3\times 10^{7}\right)$$

Subtract \frac{1}{100} from 4 to get \frac{399}{100}.

$$\frac{399}{100}\left(2-3\times 10^{7}\right)$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{399}{100}\left(2-3\times 10000000\right)$$

Multiply 3 and 10000000 to get 30000000.

$$\frac{399}{100}\left(2-30000000\right)$$

Subtract 30000000 from 2 to get -29999998.

$$\frac{399}{100}\left(-29999998\right)$$

Multiply \frac{399}{100} and -29999998 to get -\frac{5984999601}{50}.

$$-\frac{5984999601}{50}$$

Factor

$$-\frac{5984999601}{50} = -119699992\frac{1}{50} = -119699992.02$$