Solve 10^3*98*120*10^-3-10^3*98*200*10^-3-920*98*120*{10}^-3

$${ 10 }^{ 3 } \times 98 \times 120 \times { 10 }^{ -3 } - { 10 }^{ 3 } \times 98 \times 200 \times { 10 }^{ -3 } -920 \times 98 \times 120 \times { 10 }^{ -3 }$$

Evaluate

$$-\frac{93296}{5}=-18659.2$$

Solution Steps

Multiply 10^{3} and 10^{-3} to get 1.

$$98\times 120-10^{3}\times 98\times 200\times 10^{-3}-920\times 98\times 120\times 10^{-3}$$

Multiply 10^{3} and 10^{-3} to get 1.

$$98\times 120-98\times 200-920\times 98\times 120\times 10^{-3}$$

Multiply 98 and 120 to get 11760.

$$11760-98\times 200-920\times 98\times 120\times 10^{-3}$$

Multiply 98 and 200 to get 19600.

$$11760-19600-920\times 98\times 120\times 10^{-3}$$

Subtract 19600 from 11760 to get -7840.

$$-7840-920\times 98\times 120\times 10^{-3}$$

Multiply 920 and 98 to get 90160.

$$-7840-90160\times 120\times 10^{-3}$$

Multiply 90160 and 120 to get 10819200.

$$-7840-10819200\times 10^{-3}$$

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

$$-7840-10819200\times \frac{1}{1000}$$

Multiply 10819200 and \frac{1}{1000} to get \frac{54096}{5}.

$$-7840-\frac{54096}{5}$$

Subtract \frac{54096}{5} from -7840 to get -\frac{93296}{5}.

$$-\frac{93296}{5}$$

Factor

$$-\frac{93296}{5} = -18659\frac{1}{5} = -18659.2$$