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

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

1.1×103
ft.
1.1 times 10 cubed ft.

2.9×103
ft.
2.9 times 10 cubed ft.

29,000 ft.

Answer 1

To find the height of Mt. Everest, you need to add the height of Denali (about 20,000 ft or 2×10^4 ft) to the height difference (about 9×10^3 ft).

1. Denali: 20,000 ft = 2×10^4 ft
2. Height difference: 9,000 ft = 9×10^3 ft

Now, add these two heights together:

\[ 2×10^4 ft + 9×10^3 ft \]

Convert 9 × 10^3 ft to have the same exponent:

\[ 9×10^3 ft = 0.9×10^4 ft \]

Now add:

\[ 2×10^4 ft + 0.9×10^4 ft = (2 + 0.9)×10^4 ft = 2.9×10^4 ft \]

Thus, the height of Mt. Everest is approximately:

\[ \boxed{2.9×10^4} \text{ ft.} \]