Problem 69 - College Algebra Essentials

Question

Write each number in decimal notation without the use of exponents. $$-7.16 \times 10^{6}$$

Step-by-Step Solution

Answer

-7160000

Step 1: Understand the Concept of Decimal Notation in Exponents

An exponential notation such as \( -7.16 \times 10^{6} \) indicates that the given number, in this case \( -7.16 \), must be moved 6 places to the right as indicated by the exponent 6 to convert it to decimal notation.

Step 2: Moving The Decimal Point

The decimal in \( -7.16 \) is moved 6 places to the right (since 6 is the exponent). This results in the number -7160000.

Step 3: Final Answer in Decimal Notation

The previous step results in the decimal notation for the number. The converted form of \( -7.16 \times 10^{6} \) is -7160000.