Which of the following numbers is written in the standard form ?
Correct Answer :
8.5×10-12
Solution :
The correct answer is 8.5×10-12.
Understanding Standard Form (Scientific Notation):
A number is written in standard form (also known as scientific notation) when it is expressed in the format:
where:
1. is a number greater than or equal to 1 and strictly less than 10 (). This means there must be exactly one non-zero digit to the left of the decimal point.
2. is an integer (positive, negative, or zero).
Evaluating the Given Options:
1. 83.7 × 10-9: Here, . Since 83.7 is greater than 10, it is not in standard form.
2. 45 × 103: Here, . Since 45 is greater than 10, it is not in standard form.
3. 8.5 × 10-12: Here, . Since , this number satisfies all conditions for standard form.
4. 0.6 × 1015: Here, . Since 0.6 is less than 1, it is not in standard form.
Therefore, 8.5×10-12 is the only number written correctly in standard form.
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