Question

the area of a piece of land is 60,338,000 square meters. how is this number of square meters written in scientific notation? 6.0338 × 10⁷ 6.0338 × 10⁻⁷ 6.0338 × 10⁻⁶ 6.0338 × 10⁶

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer. We need to move the decimal point in 60,338,000 to get a number between 1 and 10.

Step2: Determine the value of \( a \) and \( n \)

For 60,338,000, moving the decimal point 7 places to the left gives \( a = 6.0338 \) and \( n = 7 \) (since we moved the decimal 7 places left, \( n \) is positive). So the scientific notation is \( 6.0338 \times 10^7 \).

Step3: Check other options

• For \( 6.0338 \times 10^6 \): \( 10^6 = 1,000,000 \), \( 6.0338 \times 1,000,000 = 6,033,800

eq 60,338,000 \).

• For \( 6.0338 \times 10^{-6} \): This is a very small number (less than 1), not 60,338,000.
• For \( 6.0338 \times 10^{-7} \): Also a very small number, not 60,338,000.

Answer:

A. \( 6.0338 \times 10^7 \)