Which is the correct standard notation for $9.3 \times 10^5$?
A. 9,300
B. 93,000
C. 930,000
D. $9,300,000$
Answer (1)
To convert from scientific notation to standard notation, move the decimal point according to the exponent.
In 9.3 × 1 0 5 , the exponent is 5, so move the decimal point 5 places to the right.
Moving the decimal point 5 places to the right in 9.3 results in 930,000.
The correct standard notation is therefore 930 , 000 .
Explanation
Understanding the Problem We are given a number in scientific notation: 9.3" , " t im es 1 0 5 . We need to convert this to standard notation. The exponent 5 indicates that we need to move the decimal point 5 places to the right.
Converting to Standard Notation To convert 9.3" , " t im es 1 0 5 to standard notation, we multiply 9.3 by 1 0 5 , which means moving the decimal point 5 places to the right.
Performing the Calculation Moving the decimal point one place to the right in 9.3 gives 93. We then need to move the decimal point 4 more places to the right, which is equivalent to adding four zeros. Thus, we get 930,000.
Identifying the Correct Option Therefore, 9.3" , " t im es 1 0 5 = 930 , 000 . Comparing this result with the given options, we find that option C is the correct one.
Examples
Scientific notation is useful in many real-world applications. For example, in astronomy, the distance to stars is often expressed in scientific notation because the distances are so large. Similarly, in microbiology, the size of bacteria is often expressed in scientific notation because the sizes are so small. Understanding how to convert between scientific and standard notation helps us to easily interpret these values.
