Solve 3+10^24/3,3+10^23

$$\frac { 3 + 10 ^ { 24 } } { 3,3 + 10 ^ { 23 } }$$

Evaluate

$$\frac{10000000000000000000000030}{1000000000000000000000033}\approx 10$$

Solution Steps

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{3+1000000000000000000000000}{3,3+10^{23}}$$

Add 3 and 1000000000000000000000000 to get 1000000000000000000000003.

$$\frac{1000000000000000000000003}{3,3+10^{23}}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{1000000000000000000000003}{3,3+100000000000000000000000}$$

Add 3,3 and 100000000000000000000000 to get 100000000000000000000003,3.

$$\frac{1000000000000000000000003}{100000000000000000000003,3}$$

Expand \frac{1000000000000000000000003}{100000000000000000000003,3} by multiplying both numerator and the denominator by 10.

$$\frac{10000000000000000000000030}{1000000000000000000000033}$$

Factor

$$\frac{2 \cdot 5 \cdot 3529 \cdot 821461 \cdot 838069 \cdot 411605923}{579205207463 \cdot 1726503814391} = 9\frac{0.9999999999999989 \times 10^{24}}{1 \times 10^{24}} = 9.999999999999998$$