Question

which of the following is correct scientific notation? 20.35 × 10⁴ g, 0.2035 × 10⁴ g, 2035⁴ g, 2.035 × 10⁴ g

Explanation:

Step1: Recall Scientific Notation Rule

Scientific notation is in the form \( a \times 10^{n} \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Analyze Each Option

• For \( 20.35 \times 10^{4}\) g: \( 20.35 \geq 10 \), violates \( 1 \leq |a| < 10 \).
• For \( 0.2035 \times 10^{4}\) g: \( 0.2035 < 1 \), violates \( 1 \leq |a| < 10 \).
• For \( 2035^{4}\) g: Not in \( a \times 10^{n} \) form, incorrect notation.
• For \( 2.035 \times 10^{4}\) g: \( 1 \leq 2.035 < 10 \) and in \( a \times 10^{n} \) form, satisfies rules.

Answer:

\( 2.035 \times 10^{4}\) g