Solve 18*10+1/2(-1.3)10^2

$$18 \times 10+ \frac{ 1 }{ 2 } (-1.3) { 10 }^{ 2 }$$

Evaluate

$$115$$

Solution Steps

Multiply 18 and 10 to get 180.

$$180+\frac{1}{2}\left(-1.3\right)\times 10^{2}$$

Convert decimal number -1.3 to fraction -\frac{13}{10}.

$$180+\frac{1}{2}\left(-\frac{13}{10}\right)\times 10^{2}$$

Multiply \frac{1}{2} times -\frac{13}{10} by multiplying numerator times numerator and denominator times denominator.

$$180+\frac{1\left(-13\right)}{2\times 10}\times 10^{2}$$

Do the multiplications in the fraction \frac{1\left(-13\right)}{2\times 10}.

$$180+\frac{-13}{20}\times 10^{2}$$

Fraction \frac{-13}{20} can be rewritten as -\frac{13}{20} by extracting the negative sign.

$$180-\frac{13}{20}\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$180-\frac{13}{20}\times 100$$

Express -\frac{13}{20}\times 100 as a single fraction.

$$180+\frac{-13\times 100}{20}$$

Multiply -13 and 100 to get -1300.

$$180+\frac{-1300}{20}$$

Divide -1300 by 20 to get -65.

$$180-65$$

Subtract 65 from 180 to get 115.

$$115$$

Factor

$$5\times 23$$