Janiya is taking a road trip. The distance she plans to travel can be written as 3×102

Question

kilometers, 3×105
meters, 3×107
centimeters, or 3×108
millimeters. Which distance uses the most appropriate units?(1 point)
Responses

3×105
meters
3 times 10 to the 5th power meters

3×102
kilometers
3 times 10 squared kilometers

3×108
millimeters
3 times 10 to the 8th power millimeters

3×107
centimeters

Answer 1

To determine which distance uses the most appropriate units, let's convert all the distances to kilometers:

1. \(3 \times 10^2\) kilometers = 300 kilometers
2. \(3 \times 10^5\) meters:
   • Convert meters to kilometers: \(3 \times 10^5 \text{ meters} \div 1000 = 3 \times 10^2\) kilometers = 300 kilometers
3. \(3 \times 10^7\) centimeters:
   • Convert centimeters to kilometers: \(3 \times 10^7 \text{ centimeters} \div 100,000 = 3 \times 10^2\) kilometers = 300 kilometers
4. \(3 \times 10^8\) millimeters:
   • Convert millimeters to kilometers: \(3 \times 10^8 \text{ millimeters} \div 1,000,000 = 3 \times 10^2\) kilometers = 300 kilometers

While all of the options represent the same distance (300 kilometers when converted), using kilometers is generally the most appropriate unit for long distances traveled in a car, making it easier to interpret.

Thus, the most appropriate unit for Janiya's road trip is \(3 \times 10^2\) kilometers.

Answer 2

A national park covers an area of 1.42×106
acres. A nearby national forest covers an area of 1.2×106
acres. What is the total number of acres in the park and the forest combined?(1 point)
Responses

2.62×106
2.62 times 10 superscript 6 baseline

1.54×106
1.54 times 10 superscript 6 baseline

2.62×1012
2.62 times 10 superscript 12 baseline

15.5×106

Answer 3

To find the total number of acres in the national park and the national forest combined, we need to add the two areas together:

1. National park area: \(1.42 \times 10^6\) acres
2. National forest area: \(1.2 \times 10^6\) acres

Now we add these two amounts:

\[ 1.42 \times 10^6 + 1.2 \times 10^6 = (1.42 + 1.2) \times 10^6 = 2.62 \times 10^6 \]

So, the total area combined is \(2.62 \times 10^6\) acres.

Thus, the correct response is:

2.62×10^6 acres.