Conversión de Notación Decimal a Científica

Conversion from Decimal to Scientific Notation

Introduction to Scientific Notation

• The need for scientific notation arises when dealing with extremely large or small numbers in mathematics, physics, or chemistry.

• Scientific notation simplifies the representation of these figures, making calculations more manageable.

Example 1: Converting Small Values

• To convert a decimal like 0.261 to scientific notation, count the positions moved right until reaching the first non-zero digit.

• In this case, moving the decimal point four places results in 2.61 and an exponent of -4 since it moves right.

Example 2: Another Small Value

• For the number 0.000084, move the decimal point three places to get 8.4; thus it becomes 8.4 times 10^-7.

Example 3: Very Small Numbers

• When converting very small values (e.g., weight of a pin), count nine positions moved right resulting in 1.69 times 10^-9.

Transitioning to Large Values

• The process for converting large numbers is similar but involves moving the decimal left instead.

• For example, converting 50,000 requires moving four places left yielding 5 times 10^4.

Additional Examples with Large Values

• Another example involves moving six positions left for a number like 1,200,000 resulting in 1.2 times 10^6.