Question

question 8 (1 point)
which of the following is the correct scientific notation for 67,000?
a 0.67×10⁵
b 67×10³
c 6.7×10⁴

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 option a

For \( 0.67 \times 10^5 \), \( a = 0.67 \) which is less than 1, so it does not satisfy \( 1 \leq |a| < 10 \).

Step3: Analyze option b

For \( 67 \times 10^3 \), \( a = 67 \) which is greater than or equal to 10, so it does not satisfy \( 1 \leq |a| < 10 \).

Step4: Analyze option c

For \( 6.7 \times 10^4 \), \( a = 6.7 \) (satisfies \( 1 \leq 6.7 < 10 \)) and \( 10^4 = 10000 \), and \( 6.7 \times 10000 = 67000 \), which matches the original number.

Answer:

c. \( 6.7 \times 10^4 \)