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 × 108
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 1.42 × 10^12 acres.
The area of the national forest is 1.2 x 10% acres. To represent 10% as a decimal, we need to divide it by 100, which gives us 0.10. We can then multiply it by 1.2 to find the actual area in acres: 0.10 * 1.2 = 0.12 acres.
Adding the areas of the park and the forest, we get 1.42 × 10^12 acres + 0.12 acres = 1.42 × 10^12 + 0.12 acres.
Therefore, the total number of acres in the park and the forest combined is 1.42 × 10^12 + 0.12 acres, which is approximately equal to 1.42 × 10^12 acres.
So, the correct option is:
O 2.62 × 10^12
To calculate the total number of acres in the park and the forest combined, you simply add the areas of the park and the forest together.
The area of the national park is given as 1.42 × 10° acres.
The area of the national forest is given as 1.2 × 10% acres. To convert from a percentage to a decimal, we divide by 100:
1.2 × 10% acres = 1.2 × (10/100) acres = 1.2 × 0.1 acres = 0.12 acres.
Now, adding the areas together:
1.42 × 10° acres + 0.12 acres = 1.42 × 10° + 0.12 acres = 1.42 × 10° + 1.2 × 10° = 2.62 × 10° acres.
Therefore, the total number of acres in the park and the forest combined is 2.62 × 10° acres.
So, the correct option is:
O 2.62 × 10°
To find the total number of acres in the park and the forest combined, you need to add the areas of both the park and the forest.
The area of the national park is given as 1.42 × 10^12 acres.
The area of the national forest is given as 1.2 × 10^6 acres.
To add these two numbers, you need to ensure that they are in the same exponential form. Both numbers are already in scientific notation, so you can add them directly.
1.42 × 10^12 + 1.2 × 10^6 = 1.42 × 10^12 + 0.0012 × 10^12 (since 1.2 × 10^6 is equivalent to 0.0012 × 10^12)
Adding these two numbers gives: 1.4212 × 10^12 acres.
In decimal notation, this is approximately 1,421,200,000,000 acres.
Therefore, the correct answer is option: 2.62 × 10^12 acres.