In Exercises 65–76, write each number in decimal notation without the use of exponents. −7.00001×10^10

Key Concepts

Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically formatted as a product of a number between 1 and 10 and a power of ten. For example, the number 5,000 can be written as 5.0 × 10^3. Understanding this notation is essential for converting numbers into standard decimal form.

Decimal Notation

Decimal notation is the standard way of writing numbers using the base-10 system, which includes digits from 0 to 9. It represents whole numbers and fractions using a decimal point. For instance, the number 2.5 in decimal notation indicates two whole units and five-tenths. Converting from scientific notation to decimal notation requires careful placement of the decimal point based on the exponent.

Negative Numbers

Negative numbers are values less than zero, represented with a minus sign (-). In the context of scientific notation, a negative coefficient indicates that the number is in the negative range. For example, in the expression -7.00001 × 10^10, the negative sign indicates that the resulting decimal will also be negative. Understanding how to handle negative values is crucial when converting to decimal notation.