Scientific Notation Online Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
9 of 159 of 15 Items

Question
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
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.

1.1×103
ft.
1.1 times 10 cubed ft.

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

29,000 ft.

Answer 1

To find the height of Mt. Everest, you need to add its height above Denali to the height of Denali itself.

Denali is about 20,000 ft. or \(2.0 \times 10^4\) ft. in scientific notation.

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

Now, let's add the two heights together:

1. Convert the heights to the same power of ten for easier addition:
   • Convert \(20,000\) ft to scientific notation: \(20,000 = 2.0 \times 10^4\) ft.
   • Leave \(9,000\) ft as \(9 \times 10^3\) ft.

To add:

\[ 2.0 \times 10^4 + 0.9 \times 10^4 = (2.0 + 0.9) \times 10^4 = 2.9 \times 10^4 \]

Thus, the height of Mt. Everest is approximately \(2.9 \times 10^4\) ft.

The correct response is:

2.9×10⁴ ft.