In Exercises 1–14, write each number in decimal notation without the use of exponents. 3.8X10²

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, 3.8 x 10² means 3.8 multiplied by 100, which simplifies to 380.

Decimal Notation

Decimal notation is the standard way of writing numbers using digits from 0 to 9, where the position of each digit represents a power of ten. Converting from scientific notation to decimal notation involves calculating the value of the exponent and adjusting the decimal point accordingly. This process allows for a clearer understanding of the magnitude of the number.

Exponent Rules

Exponent rules are mathematical guidelines that dictate how to handle numbers raised to a power. In the context of scientific notation, the exponent indicates how many places to move the decimal point. A positive exponent means moving the decimal to the right, while a negative exponent would mean moving it to the left, which is essential for converting to decimal notation.