A dog park covers an area of 3.49×10^4 yards. The community park next to it covers an area of 1.6×10^4 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 need to add the two areas together.

The area of the dog park is \(3.49 \times 10^4\) yards, and the area of the community park is \(1.6 \times 10^4\) yards.

First, we align the numbers by converting them into the same format (scientific notation):

• Dog park: \(3.49 \times 10^4\)
• Community park: \(1.6 \times 10^4\)

Now, we can add the coefficients (the numbers before the \(10^4\)):

\[ 3.49 + 1.6 = 5.09 \]

Now combine this with the power of ten:

\[ 5.09 \times 10^4 \]

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

If you wish to express this in standard notation, you can calculate:

\[ 5.09 \times 10^4 = 5.09 \times 10000 = 50900 \text{ yards} \]

Therefore, the total area is \(5.09 \times 10^4\) yards or 50,900 yards.