In scientific notation, the correct format is a multiplied with 10 to the power b, where an is an integer or decimal number whose absolute value is more than or equal to one and less than ten, or 1 ≤ |a| < 10. In order for the scientific notation to be mathematically identical to the original number, b must be a power of 10. The Scientific notation worksheets will be a great help in learning these scientific notations.
Below are the five guidelines for scientific notation:
The base number should always be 10. It is necessary for the exponent to be a non-zero integer, therefore it may be either positive or negative. The coefficient’s absolute value is more than or equal to 1, but it must be lower than 10. Positive and negative numbers, including whole and decimal values, can be coefficients. The remaining significant digits of the number are represented by the integer part.
If the exponent of 10 is negative, we should shift the decimal point (if any) to the left to convert a number from scientific notation to standard form; otherwise, we should move it to the right. So that there are no powers of 10 in the final representation, we must relocate the decimal point as many times as the exponent indicates in power.
Coefficient, base, and exponent are the three fundamental components of a scientific notation. In scientific notations worksheets, there are different kinds of questions, and solving by using different methods for better understanding of the concept and stepwise solutions will help in the self-assessment of the student. The worksheet is timed so, it will also help in the learning of time management.