Solve 10^2:(49-59)+1:10^2=

$$10 ^ { 2 } : ( 49 - 59 ) + 1 : 10 ^ { 2 } =$$

Evaluate

$$-\frac{999}{100}=-9.99$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{100}{49-59}+\frac{1}{10^{2}}$$

Subtract 59 from 49 to get -10.

$$\frac{100}{-10}+\frac{1}{10^{2}}$$

Divide 100 by -10 to get -10.

$$-10+\frac{1}{10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$-10+\frac{1}{100}$$

Convert -10 to fraction -\frac{1000}{100}.

$$-\frac{1000}{100}+\frac{1}{100}$$

Since -\frac{1000}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{-1000+1}{100}$$

Add -1000 and 1 to get -999.

$$-\frac{999}{100}$$

Factor

$$-\frac{999}{100} = -9\frac{99}{100} = -9.99$$