Question

convert the following to scientific notation: 5,000 = _______
options: 0.5 × 10^4, 5.0×10^4, 5.0×10^3, 5.0×10^2

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.

Step2: Analyze 5,000

To write 5,000 in scientific notation, we move the decimal point 3 places to the left to get \( a = 5.0 \) (since \( 5000 = 5.0\times1000 \)). And \( 1000 = 10^3 \), so \( 5000 = 5.0\times 10^3 \).

Answer:

C. \( 5.0\times10^{3} \) (assuming the orange option is labeled C, with the text \( 5.0\times10^{3} \))