In Exercises 1–14, write each number in decimal notation without the use of exponents. -6.00001X10¹⁰

Verified step by step guidance

1. Identify the given number in scientific notation: \(-6.00001 \times 10^{10}\).
2. Understand that the exponent \(10\) indicates how many places to move the decimal point.
3. Since the exponent is positive, move the decimal point 10 places to the right.
4. Start with the number \(-6.00001\) and move the decimal point 10 places to the right, adding zeros as needed.
5. Write the final number in decimal notation without exponents.

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 6.02 x 10² represents 602. Understanding this format is essential for converting numbers into standard decimal notation.

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. Converting from scientific notation to decimal notation involves calculating the value of the exponent and adjusting the decimal point accordingly.

Negative Exponents

Negative exponents indicate that the base number should be divided rather than multiplied. For instance, 10⁻² equals 1/10², or 0.01. In the context of scientific notation, understanding how to handle negative exponents is crucial for accurately converting numbers that may represent very small values.