Question

At an elevation of 1221.4 feet, Lake Mead will hold 28,945,000 acre-feet of water. Which number is the best estimate of this amount of water?

Answer 1

The estimate of the amount 28,945,000 is 3 × 10⁷

What is an estimate of a value?

An estimate is a rough or approximate calculation or judgement value.

The question is with regards to the scientific notation which is of the form a × 10ᵇ, where absolute a is of a value 1 ≤ a < 10

The scientific notation form of a number is found as follows;

The decimal point on the number is moved from its position to the point such that the number of non zero numbers to the left of the decimal point is 1

The number b is the number of places to which the decimal point is moved.

b is positive when the decimal point is moved to the left

b is negative when the decimal point in the number is moved to the right

b is zero when the decimal point is not moved

The scientific notation number formed, a × 10ᵇ, which is read as a times 10 raised to the power b.

The zeros in the tail to the right of the decimal point are removed

The number 28,945,000 in scientific notation is 2.8945 × 10⁷

The number part of the scientific notation is approximated to the next higher whole number, as follows;

The first digit to the right of the decimal point is 8 which is larger than 5, therefore the 2 is increased to 3

The approximated number is therefore;

• 3 × 10⁷

Learn more about scientific notation in mathematics here:

brainly.com/question/5756316

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