The number 514 in scientific notation is written as -
f 5.14 × 101
g 51.4 × 101
h 514 × 102
j 5.14 × 102
j 5.14 × 102
5.14 * 10^2
This is already in scientific notation and cannot be simplified further.
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To convert a number to scientific notation, you need to move the decimal point to create a number greater than or equal to 1 but less than 10, and then multiply it by a power of 10.
In the number 514, you need to move the decimal point to the left three places to create 5.14. This means you divided the number by 1000 (10 raised to the power of 3), so the power of 10 will be negative.
So, the correct scientific notation for 514 is 5.14 × 10^2.
Therefore, the option j is the correct choice: 5.14 × 10^2.