Denali, which is about 20,000 ft. above sea level, is the highest mountain in the United States. Mt. Everest, the highest mountain on earth, is about 9×103

Question

ft. higher than Denali. About how high is Mt. Everest? The answer should be in scientific notation.(1 point)
Responses

2.9×103
ft.
2.9 times 10 cubed ft.

2.9×104
ft.
2.9 times 10 superscript 4 baseline ft.

1.1×103
ft.
1.1 times 10 cubed ft.

29,000 ft.

Answer 1

To find the height of Mt. Everest, we start with the height of Denali, which is approximately 20,000 ft (or \(2 \times 10^4\) ft).

Mt. Everest is about \(9 \times 10^3\) ft higher than Denali:

1. Convert 20,000 ft to scientific notation: \[ 20,000 \text{ ft} = 2 \times 10^4 \text{ ft} \]

2. Add the height difference to Denali's height: \[ \text{Height of Mt. Everest} = 2 \times 10^4 \text{ ft} + 9 \times 10^3 \text{ ft} \]

3. Break down \(9 \times 10^3\) into a compatible form: \[ 9 \times 10^3 \text{ ft} = 0.9 \times 10^4 \text{ ft} \]

4. Now add the two heights: \[ \text{Height of Mt. Everest} = (2 \times 10^4 + 0.9 \times 10^4) \text{ ft} = (2 + 0.9) \times 10^4 \text{ ft} = 2.9 \times 10^4 \text{ ft} \]

Thus, Mt. Everest is about \(2.9 \times 10^4\) ft high.

The correct response is: 2.9×10^4 ft.