Question

what is the value of 125,000 in scientific notation? 12.5 × 10⁴ 1.25 × 10⁵ 125 × 10³ 1.25 × 10⁻⁴ 12.5 × 10⁻⁵

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: Convert 125,000 to scientific notation

• Move the decimal point in 125000 to the left until we get a number between 1 and 10.
• Moving the decimal 5 places left gives \( 1.25 \).
• The number of places moved is the exponent \( n \), so \( n = 5 \).
• Thus, \( 125000 = 1.25 \times 10^5 \).

Answer:

\( 1.25 \times 10^5 \) (the option with this value, e.g., if the options are labeled as above, the correct one is the one with \( 1.25 \times 10^5 \))