Solve 100+100+100+100+100+{left(10000+2/4right)}^2

$$100+100+100+100+100+ { \left(10000+ \frac{ 2 }{ 4 } \right) }^{ 2 }$$

Evaluate

$$\frac{400042001}{4}=100010500.25$$

Solution Steps

Add 100 and 100 to get 200.

$$200+100+100+100+\left(10000+\frac{2}{4}\right)^{2}$$

Add 200 and 100 to get 300.

$$300+100+100+\left(10000+\frac{2}{4}\right)^{2}$$

Add 300 and 100 to get 400.

$$400+100+\left(10000+\frac{2}{4}\right)^{2}$$

Add 400 and 100 to get 500.

$$500+\left(10000+\frac{2}{4}\right)^{2}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$500+\left(10000+\frac{1}{2}\right)^{2}$$

Add 10000 and \frac{1}{2} to get \frac{20001}{2}.

$$500+\left(\frac{20001}{2}\right)^{2}$$

Calculate \frac{20001}{2} to the power of 2 and get \frac{400040001}{4}.

$$500+\frac{400040001}{4}$$

Add 500 and \frac{400040001}{4} to get \frac{400042001}{4}.

$$\frac{400042001}{4}$$

Factor

$$\frac{400042001}{2 ^ {2}} = 100010500\frac{1}{4} = 100010500.25$$