Question

1. which shows the number 6,350 in scientific notation? a 6×10³ b 6.35×10¹ c 6.35×10³ d 635×10¹

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 6350 to scientific notation

Move the decimal point in 6350 to get a number between 1 and 10. We get 6.35, and we moved the decimal 3 places to the left, so \( n = 3 \). Thus, \( 6350 = 6.35 \times 10^3 \).

Step3: Check options

• Option A: \( 6 \times 10^3 = 6000

eq 6350 \)

• Option B: \( 6.35 \times 10^1 = 63.5

eq 6350 \)

• Option C: \( 6.35 \times 10^3 = 6350 \), which matches.
• Option D: \( 635 \times 10^1 = 6350 \), but \( 635 \) is not between 1 and 10, so it's not in proper scientific notation.

Answer:

C. \( 6.35 \times 10^3 \)