External Site. Scientific Notation: Addition and Subtraction in Scientific Notation. A number written in scientific notation is written as the product of a number between 1 and 10 and a number that is a power of 10 .
That is, it is written as a quantity whose coefficient is between 1 and 10 and whose base is 10 . Addition and Subtraction One of the properties of quantities with exponents is that numbers with exponents can be added and subtracted only when they have the same base and exponent. Addition and Subtraction with Scientific Notation. Adding and subtracting with scientific notation may require more care, because the rule for adding and subtracting exponential expressions is that the expressions must havelike terms.
Remember that to be like terms, two expressions must have exactly the same base numbers to exactly the same powers. Thinking about decimal arithmetic, the requirement that we have the same powers makes sense, because that guarantees that all of the place values are lined up properly. Example: (4.5 × 104) + (1.75 × 104) can be completed using the distributive property of multiplication over addition, i.e., factor out the common factor 104. Scientific Notation Word Problems Worksheets. Scientific Notation - Scientific Notation. Number 1. Write large numbers in scientific notation.