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 × 10°
O 2.62 × 108
The national park covers 1.42 × 10^12 acres (1.42 billion acres).
The national forest covers 1.2 x 10% acres, which is 1.2 x 10^(-1) * 1.42 × 10^12 = 1.704 × 10^11 acres (170.4 million acres).
The total number of acres in the park and the forest combined is 1.42 × 10^12 + 1.704 × 10^11 = 1.59 × 10^12 acres (1.59 trillion acres).
Therefore, the correct answer is O 1.59 × 10^12.
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 park is given as 1.42 × 10° acres.
The area of the forest is given as 1.2 × 10% acres.
To add these numbers together, we need to make sure they have the same exponent before adding.
In scientific notation, both numbers need to have the same power of 10.
1.42 × 10° acres is already in scientific notation and has a power of 10 of 0.
To convert 1.2 × 10% acres to scientific notation, we need to determine the power of 10.
The notation 10% means 10 raised to the power -2. So 1.2 × 10% acres can be written as 1.2 × 10-2 acres.
Now we have the area of the park as 1.42 × 10° acres and the area of the forest as 1.2 × 10-2 acres.
To add these two numbers, we need to align the decimal points and add the numbers.
1.42 × 10° acres
+ 1.2 × 10-2 acres
____________________
= 1.42 × 10° acres
Therefore, the total number of acres in the park and the forest combined is 1.42 × 10° acres.
So, the correct answer is O 1.42 × 10°.
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 nearby national forest is given as 1.2 x 10% acres.
To add these areas, we need to make sure they are written in the same form. Let's convert the area of the national forest to the same form as the national park.
1.2 x 10% can be written as 1.2 x 10/100. Simplifying, we have 1.2 x 0.01.
Now we can add the areas:
1.42 × 10° acres + 1.2 x 0.01 acres
Using scientific notation rules, we can multiply the numbers and add the exponents:
1.42 × 10° + 1.2 x 0.01
= 1.42 x 1 + 0.012
= 1.42 + 0.012
= 1.432
Therefore, the total number of acres in the park and the forest combined is 1.432 acres.
Since none of the options provided match this answer, it seems there might be a mistake in the information given. Please double-check the given values.