Question

what is the correct way to express 25 300 000 using scientific notation? 2.53 × 10⁷ 25.3 × 10⁻⁶ 2.53 × 10⁻⁷ 253 × 10⁵

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 25300000 to scientific notation

First, move the decimal point to get a number between 1 and 10. For 25300000, moving the decimal 7 places left gives \( 2.53 \). The number of places moved is the exponent \( n \), so \( 25300000 = 2.53 \times 10^7 \).

Step3: Analyze other options

• \( 25.3 \times 10^{-6} \): \( 25.3 \) is not between 1 and 10, and exponent sign is wrong (number is large, should be positive exponent).
• \( 2.53 \times 10^{-7} \): Negative exponent would make a small number, but 25300000 is large.
• \( 253 \times 10^5 \): \( 253 \) is not between 1 and 10.

Answer:

The correct option is the one with \( 2.53 \times 10^7 \) (the first option among the choices, with the blue dot, so the answer is the option labeled with \( 2.53 \times 10^7 \)).