A national park covers an area of 1.42 × 10° acres. A nearby national forest covers an area of 1.2 x 10% acres. What is the total number of acres in the park and the forest combined? (1 point)
O 2.62 × 1012
0 15.5 × 106
O 1.54 × 106
O 2.62 × 106
To find the total number of acres in the park and the forest combined, we need to add the areas of the park and the forest together.
The area of the national park is given as 1.42 × 10^9 acres.
The area of the national forest is given as 1.2 × 10^8 acres.
To add these two values together, we need to make sure they have the same power of 10.
1.42 × 10^9 acres = 142 × 10^7 acres
Now we can add the two values together:
142 × 10^7 acres + 1.2 × 10^8 acres = 142 + 12 = 154 × 10^7 acres
The total number of acres in the park and the forest combined is 1.54 × 10^8 acres.
Therefore, the correct answer is O 1.54 × 10^8 acres.
To find the total number of acres in the park and the forest combined, we need to add the areas of the two areas.
The area of the national park is given as 1.42 × 10^6 acres.
The area of the national forest is given as 1.2 × 10^5 acres.
To add these two areas, we should represent both numbers with the same exponent. Since the exponent for the area of the park is 6, we need to convert the area of the national forest to have an exponent of 6.
1.2 × 10^5 = 12 × 10^4 = 12 × 10^2 × 10^2 = 1.2 × 10^2 × 10^4 = 1.2 × 10^6
Now we can add the two areas:
1.42 × 10^6 + 1.2 × 10^6 = 2.62 × 10^6
Therefore, the total number of acres in the park and forest combined is 2.62 × 10^6 acres.
To find the total number of acres in the park and the forest combined, we need to add the areas of the park and the forest.
The area of the national park is given as 1.42 × 10° acres.
The area of the national forest is given as 1.2 x 10% acres.
To add these two numbers, we need to express the numbers in the same exponent form.
1.42 × 10° acres can be written as 1.42 × 10^0 acres, and
1.2 x 10% acres can be written as 1.2 × 10^(-2) acres.
Now, we can add these two numbers:
1.42 × 10^0 acres + 1.2 × 10^(-2) acres
To add them, we need to make sure they have the same exponent. Since 10^0 is the same as 1, we can rewrite the expression as:
1.42 × 1 acres + 1.2 × 10^(-2) acres
Simplifying further, we get:
1.42 acres + 0.012 acres
Adding these two numbers, we finally get the total area:
1.432 acres
So, the total number of acres in the park and the forest combined is 1.432 acres.
None of the given answer options match this result. Please double-check the given options.