Solve 10^4+2*10^0+7*10^2+0.10^9

$$10 ^ { 4 } + 2 \cdot 10 ^ { 0 } + 7 \cdot 10 ^ { 2 } + 0.10 ^ { 9 }$$

Evaluate

$$10702.000000001$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$10000+2\times 10^{0}+7\times 10^{2}+0.1^{9}$$

Calculate 10 to the power of 0 and get 1.

$$10000+2\times 1+7\times 10^{2}+0.1^{9}$$

Multiply 2 and 1 to get 2.

$$10000+2+7\times 10^{2}+0.1^{9}$$

Add 10000 and 2 to get 10002.

$$10002+7\times 10^{2}+0.1^{9}$$

Calculate 10 to the power of 2 and get 100.

$$10002+7\times 100+0.1^{9}$$

Multiply 7 and 100 to get 700.

$$10002+700+0.1^{9}$$

Add 10002 and 700 to get 10702.

$$10702+0.1^{9}$$

Calculate 0.1 to the power of 9 and get 0.000000001.

$$10702+0.000000001$$

Add 10702 and 0.000000001 to get 10702.000000001.

$$10702.000000001$$

Factor

$$\frac{10702000000001}{2 ^ {9} \cdot 5 ^ {9}} = 10702\frac{1}{1000000000} = 10702.000000001$$