We are asked to complete a pattern involving division. The pattern is as follows: $1164.8 \div \underline{\hspace{1cm}} = 11.648$ $\underline{\hspace{1cm}} \div 1000 = 11.648$ $\underline{\hspace{1cm}} \div 10000 = 11.648$ $11648000 \div 1000000 = \underline{\hspace{1cm}}$

1. Problem Description

We are asked to complete a pattern involving division. The pattern is as follows:

$1164.8 \div \underline{\hspace{1cm}} = 11.648$

$\underline{\hspace{1cm}} \div 1000 = 11.648$

$\underline{\hspace{1cm}} \div 10000 = 11.648$

$11648000 \div 1000000 = \underline{\hspace{1cm}}$

2. Solution Steps

Let's solve each part of the problem.

First, we have $1164.8 \div x = 11.648$. Multiplying both sides by $x$ yields $1164.8 = 11.648x$.

Dividing both sides by $11.648$ gives $x = \frac{1164.8}{11.648} = \frac{116480}{11648} = 100$.

Second, we have $x \div 1000 = 11.648$. Multiplying both sides by $1000$ gives $x = 11.648 \times 1000 = 11648$.

Third, we have $x \div 10000 = 11.648$. Multiplying both sides by $10000$ gives $x = 11.648 \times 10000 = 116480$.

Finally, we have $11648000 \div 1000000 = x$. Dividing $11648000$ by $1000000$ gives $x = \frac{11648000}{1000000} = 11.648$.

3. Final Answer

The completed pattern is:

$1164.8 \div 100 = 11.648$

$11648 \div 1000 = 11.648$

$116480 \div 10000 = 11.648$

$11648000 \div 1000000 = 11.648$