A dog park covers an area of 3.49 x 10^4 yards. The community park next to it covers and area of 1.6 x 10^4 yards. What is the total number of yards in the dog park and community park combined?

Answer 1

To find the total area of the dog park and the community park combined, you simply add the two areas together:

1. Area of the dog park: \(3.49 \times 10^4\) yards
2. Area of the community park: \(1.6 \times 10^4\) yards

First, we need to ensure both areas are expressed in the same powers of ten. In this case, they are both already in terms of \(10^4\).

Now perform the addition:

\[ 3.49 \times 10^4 + 1.6 \times 10^4 = (3.49 + 1.6) \times 10^4 \] \[ = 5.09 \times 10^4 \text{ yards} \]

Thus, the total area of the dog park and community park combined is \(5.09 \times 10^4\) yards.