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Scientific Notation

Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.

6,389 Questions

What uses powers of ten to write very large or small numbers in shorter form?

It is usually called scientific notation.

Scientific notation has several common forms:

  • normalized decimal, numeric part has a single digit left of the decimal point
  • normalized binary (used in many computers), numeric part has a single implied (but not stored) one bit left of the binary point
  • engineering decimal (used in most engineering fields) numeric part has one to three digits left of the decimal point
  • etc.

In addition to the 10 to the power of form in which it is usually written, there are other ways of writing scientific notation (commonly used by calculators and computer programming languages), one example is "E form" where the letter separates the numeric part and the exponent part.

What are the significant figures for 1.230 cm?

Four: All the digits given are significant.

>> Two actually. Trailing zeros in a number without a dp are not significant unless emphasised in some way. The unit (mm) doesn't make any difference.

What is the scientific notation of 13000000000?

Assume the term is 0.0013 g. Move 3 decimal places to the right, so the exponent for base 10 is -3. Therefore, the term in scientific notation is 1.3 x 10-3 g.

What is 6.9 in scientific notation?

It can be written as 6.9*10^0, but that is hardly worth the effort.

What is the scientific notwtion of the number 48710000000?

It is: 4.871*10^10 which means 4.871 times 10 to the power of 10