Example

Converting 48,30048{,}300 and 0.01290.0129 to Scientific Notation

Write 48,30048{,}300 and 0.01290.0129 in scientific notation by applying the conversion steps.

Part ⓐ — Write 48,30048{,}300 in scientific notation.

  1. Move the decimal point: Shift the implied decimal point to the left to obtain a number between 11 and 1010. This results in 4.834.83.
  2. Count the places moved: The decimal point was moved 4 places to the left.
  3. Write as a product with a power of 1010: Because the original number is greater than 11, the exponent is positive 44. The result is 4.83imes1044.83 imes 10^4.

Part ⓑ — Write 0.01290.0129 in scientific notation.

  1. Move the decimal point: Shift the decimal point to the right to get 1.291.29.
  2. Count the places moved: The decimal point was moved 2 places to the right.
  3. Write as a product with a power of 1010: Because the original number is between 00 and 11, the exponent is negative 2-2. The result is 1.29imes1021.29 imes 10^{-2}.

Therefore, 48,300=4.83imes10448{,}300 = 4.83 imes 10^4 and 0.0129=1.29imes1020.0129 = 1.29 imes 10^{-2}.

0

1

Updated 2026-04-29

Contributors are:

Who are from:

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

Algebra