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

1 answer

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

  1. Area of Dog Park: \(3.49 \times 10^4\) yards
  2. Area of Community Park: \(1.6 \times 10^4\) yards

To add these two numbers, it's easier if they have the same exponent:

\[ 3.49 \times 10^4 + 1.6 \times 10^4 = (3.49 + 1.6) \times 10^4 \]

Now, perform the addition:

\[ 3.49 + 1.6 = 5.09 \]

Thus, the total area is:

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

To express it in standard form, that equals:

\[ 5.09 \times 10^4 = 50,900 \text{ yards} \]

So, the total area of the dog park and community park combined is 50,900 yards.