Solve 9*10^9(-2.5*10^-16)+(1.875*10^-16)+(1.8*10^-16))

$$9 \cdot 10 ^ { 9 } ( - 2.5 \times 10 ^ { - 16 } ) + ( 1.875 \times 10 ^ { - 16 } ) + ( 1.8 \times 10 ^ { - 16 } ) )$$

Evaluate

$$-0.0000022499999996325$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -16 to get -7.

$$9\times 10^{-7}\left(-2.5\right)+1.875\times 10^{-16}+1.8\times 10^{-16}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$9\times \frac{1}{10000000}\left(-2.5\right)+1.875\times 10^{-16}+1.8\times 10^{-16}$$

Multiply 9 and \frac{1}{10000000} to get \frac{9}{10000000}.

$$\frac{9}{10000000}\left(-2.5\right)+1.875\times 10^{-16}+1.8\times 10^{-16}$$

Multiply \frac{9}{10000000} and -2.5 to get -\frac{9}{4000000}.

$$-\frac{9}{4000000}+1.875\times 10^{-16}+1.8\times 10^{-16}$$

Calculate 10 to the power of -16 and get \frac{1}{10000000000000000}.

$$-\frac{9}{4000000}+1.875\times \frac{1}{10000000000000000}+1.8\times 10^{-16}$$

Multiply 1.875 and \frac{1}{10000000000000000} to get \frac{3}{16000000000000000}.

$$-\frac{9}{4000000}+\frac{3}{16000000000000000}+1.8\times 10^{-16}$$

Add -\frac{9}{4000000} and \frac{3}{16000000000000000} to get -\frac{35999999997}{16000000000000000}.

$$-\frac{35999999997}{16000000000000000}+1.8\times 10^{-16}$$

Calculate 10 to the power of -16 and get \frac{1}{10000000000000000}.

$$-\frac{35999999997}{16000000000000000}+1.8\times \frac{1}{10000000000000000}$$

Multiply 1.8 and \frac{1}{10000000000000000} to get \frac{9}{50000000000000000}.

$$-\frac{35999999997}{16000000000000000}+\frac{9}{50000000000000000}$$

Add -\frac{35999999997}{16000000000000000} and \frac{9}{50000000000000000} to get -\frac{899999999853}{400000000000000000}.

$$-\frac{899999999853}{400000000000000000}$$

Factor

$$-0.0000022499999996325$$