In Exercises 1–14, write each number in decimal notation without the use of exponents.
3.8X10²
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1
Identify the given number in scientific notation: .
Understand that means moving the decimal point 2 places to the right.
Start with the number 3.8 and move the decimal point 2 places to the right.
After moving the decimal point, fill in any empty spaces with zeros if necessary.
Write the final number in decimal notation without exponents.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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 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 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.