Question

Estimates show that there are 1.4 \cdot 10^81.4⋅10 8 1, point, 4, dot, 10, start superscript, 8, end superscript pet fish and 9.4 \cdot 10^69.4⋅10 6 9, point, 4, dot, 10, start superscript, 6, end superscript pet reptiles in the United States. How many fish and reptile pets are in the United States all together? Express your answer in scientific notation.

Answer 1

Let us denote the number of pet fish in the United States by f. It is given that $f=1.4\times 10^{81}$.........Equation 1

Let us denote the number of pet reptiles in the United States by p. It is given that $p=9.4\times 10^{69}$........Equation 2

Now, to find how many pet fish and reptile pets are in the United States all together in the scientific notation, we will have to add Equation 1 and Equation 2. Even before we do that we can see that the "order of magnitude" of f is significantly higher than that of p. Thus, we can straightforward say that the answer will approximately be:

$f+p\approx 1.4\times 10^{81}$

Let us show this in a detailed fashion:

$f+p=1.4\times 10^{81}+9.4\times 10^{69}=1.4\times 10^{69+12}+9.4\times 10^{69}$

$\therefore f+p=10^{69}(1.4\times 10^{12}+9.4)\approx10^{69}\times 1.4\times 10^{12}\approx 1.4\times 10^{81}$

Thus, the answer in scientific notation is: $1.4\times 10^{81}$

Answer 2

1.494*10power8 this is correct answer