Questions: A TV show had 4,320,000 viewers for its season premiere. Express this number using scientific notation. 4.32 × 10^9 4.32 × 10^7 4.32 × 10^8 4.32 × 10^6

Solution Steps

We need to express the number 4,320,000 in scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically written as \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

To convert 4,320,000 to scientific notation, we need to move the decimal point in the number to the left until only one non-zero digit remains to the left of the decimal point.

• The original number is 4,320,000.
• Move the decimal point 6 places to the left: \( 4.32 \).

This gives us \( 4.32 \times 10^6 \).

Now, we compare our result with the given options:

• \( 4.32 \times 10^9 \)
• \( 4.32 \times 10^7 \)
• \( 4.32 \times 10^8 \)
• \( 4.32 \times 10^6 \)

The correct match is \( 4.32 \times 10^6 \).

Final Answer