Question

The Nile River in Africa is about 21,832,800ft long. Write an estimate for the length of the Nile river, in feet, as a single digit times an integer power of ten.

Answer 1

Explanation:

To write an estimate of the length of the Nile River, we can round the number 21,832,800 to the nearest power of ten. The nearest power of ten to 21,832,800 is 10,000,000, which is 107 in scientific notation.

To convert 21,832,800 to scientific notation, we move the decimal point seven places to the left to get 2.18328, and then multiply it by 107 to get:

2.18328 x 107

Rounding this to a single digit times an integer power of ten gives:

2 x 107

Therefore, an estimate for the length of the Nile River, in feet, as a single digit times an integer power of ten, is 2 x 107 feet.