How do you write measurements in scientific notation?

Answer 1

Not sure what you mean by writing it "in measurement." Wherever or however it's employed, numbers or values expressed in scientific notation have the following format: a x 10b, where bis an integer (positive or negative) chosen such that a is a real number between at least one but less than ten. In other words 1 <= a < 10. Here are some examples of numbers and their representations in scientific notation (also known as standard form): 1543 = 1.543 x 103 0.00345 = 3.45 x 10-3 1,000,000 = 1 x 106

1,000,000.0 = 1.0000000 x 106

Note the difference between the last two numbers, which are not quite the same. Both numbers represent one million, but the first value has only one significant digit, whereas the second number indicates a much greater degree of precision. In other words, the first number may represent a measurement that was rounded to the nearest million, whereas the second number represents a measurement that was rounded to the nearest tenth. (That is, the uncertainty is in the tenth's place.) Do you understand the differences among the following values? 3.0 x 106

3.00 x 106

3.000 x 106

Also note that a shorthand version of scientific notation exists. Here are two examples: 1.23 x 103 = 1.23E3

2.47 x 10-6 = 2.47E-6 In the shorthand version, the number after the E represents the power of ten.