Problem 4 - Algebra 1

Question

Rewrite in decimal form. $$ 8.11 \times 10^{3} $$

Step-by-Step Solution

Answer

The decimal form of \(8.11 \times 10^{3}\) is 8110.

Step 1: Understand the Scientific Notation

In the given scientific notation \(8.11 \times 10^{3}\), the exponent 3 on the 10 means that 8.11 should be shifted 3 places to the right.

Step 2: Rewrite the Number from Scientific

We shift the decimal point of 8.11 three places to the right. The decimal is initially between 8 and 1. After the shifting, it will be three places to the right of 1. Since this shift generates empty places, these are filled with zeroes.

Step 3: Result in Decimal Form

After moving the decimal three places to the right and filling in the blank spaces with zeros, we obtain the decimal form as 8110.