In Exercises 1–14, write each number in decimal notation without the use of exponents. -7.16X10⁶

Verified step by step guidance

1. Identify the given number in scientific notation: \(-7.16 \times 10^6\).
2. Understand that the exponent \(6\) indicates how many places to move the decimal point to the right.
3. Move the decimal point in \(-7.16\) six places to the right to convert it to standard decimal notation.
4. Fill in any gaps with zeros as you move the decimal point.
5. Write the final number in decimal notation, ensuring to keep the negative sign.

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, -7.16 x 10⁶ means -7.16 multiplied by 1,000,000, which simplifies the representation of large numbers.

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 values in a straightforward manner without exponents. Converting from scientific notation to decimal notation involves calculating the power of ten and adjusting the decimal point accordingly.

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 below zero. Understanding how to handle negative values is essential when converting to decimal notation, as it affects the overall value and placement of the decimal point.