Sure, let's break down the problem step by step to express the number 2.2 × 10¹¹ in scientific notation with 2 decimal places.
### Step 1: Understand the given number
The given number is:
[tex]\[ 2.2 \times 10^{11} \][/tex]
### Step 2: Simplify the expression
Firstly, you multiply 2.2 by [tex]\( 10^{11} \)[/tex]. This means you move the decimal point of 2.2 eleven places to the right.
After performing this multiplication, the result is:
[tex]\[ 220,000,000,000.00003 \][/tex]
### Step 3: Express in scientific notation
To express this number in scientific notation with 2 decimal places:
1. Identify the coefficient (a number between 1 and 10).
2. Shift the decimal point of the original result appropriately.
3. Round the coefficient to 2 decimal places.
Thus, [tex]\( 220,000,000,000.00003 \)[/tex] can be written in scientific notation as:
[tex]\[ 2.20 \times 10^{11} \][/tex]
Therefore, the final answer is:
[tex]\[ 2.20 \times 10^{11} \][/tex]
