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

9
×
10
3
ft. higher than Denali. About how high is Mt. Everest? The answer should be in scientific notation.(1 point)
Responses

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

29,000 ft.
29,000 ft.

2.9×103
2.9
×
10
3
ft.
2.9 times 10 cubed ft.

1.1×103
1.1
×
10
3
ft.

1 answer

To find the height of Mt. Everest, we first need to add the height of Denali (20,000 ft) to the additional height given (9 × 10^3 ft).

  1. Convert 20,000 ft into scientific notation:

    • 20,000 ft = 2.0 × 10^4 ft
  2. Now convert 9 × 10^3 ft into the same form:

    • 9 × 10^3 ft = 9,000 ft
  3. Add the two heights together:

    • 2.0 × 10^4 ft + 9 × 10^3 ft = 2.0 × 10^4 ft + 0.9 × 10^4 ft (since 9 × 10^3 is 0.9 × 10^4)
    • This gives us (2.0 + 0.9) × 10^4 ft = 2.9 × 10^4 ft

So, the height of Mt. Everest is approximately 2.9 × 10^4 ft.