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Multiple Choice
Which of the following numbers is correctly expressed in scientific notation?
A
0.345 x 10^6
B
345 x 10^3
C
34.5 x 10^4
D
3.45 x 10^5
Verified step by step guidance
1
Step 1: Understand the format of scientific notation, which is expressed as \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
Step 2: Evaluate the first option, \( 0.345 \times 10^6 \). The coefficient \( 0.345 \) is not between 1 and 10, so this is not correctly expressed in scientific notation.
Step 3: Evaluate the second option, \( 345 \times 10^3 \). The coefficient \( 345 \) is greater than 10, so this is not correctly expressed in scientific notation.
Step 4: Evaluate the third option, \( 34.5 \times 10^4 \). The coefficient \( 34.5 \) is greater than 10, so this is not correctly expressed in scientific notation.
Step 5: Convert \( 34.5 \times 10^4 \) to correct scientific notation by moving the decimal point one place to the left to get \( 3.45 \), and increase the exponent by 1 to maintain the value, resulting in \( 3.45 \times 10^5 \).