Fill in the blanks!

To complete the statement, let's break it down step by step.

1. Starting with the expression \((3 x _) + (4 x 100) \div 100\):
- When we divide by 100, it's equivalent to moving the decimal point two places to the left.

2. We have:
- \((3 x _) + (4 x 100)\) represents the decimal number \(34\) (since \(3\) corresponds to \(3 x 10\) and \(4\) corresponds to \(4 x 1\)).

3. The equation simplifies to:
\[
\frac{(3 \cdot 10) + (4 \cdot 100)}{100} = \frac{30 + 400}{100} = \frac{430}{100} = 4.3
\]

4. Therefore, in expanded form, we recognize that:
- The number we are considering consists of \(3\) representing the tenths place (hence \(3\) multiplied by \(10\)), and \(4\) in the hundredths place (or simply \(4\)).

5. Given that dividing by \(100\) results in moving the decimal two places to the left, we see:
- The whole number becomes a decimal where \(4\) retains its position (now effectively representing \(4\)).
- The initial \(3\) was in the whole number place, and after division, this is shifted down to the tenths place.

So we can fill in the blanks as follows:
- **Fill-in 1**: \(10\) (to represent the position of \(3\))
- **Fill-in 2**: \(0.3\) (which is \(3\) divided by \(10\))

The completed statement would look like this:
\[
{(3 \times 10) + (4 \times 100)} \div 100
\]
\[
0.3 + 4
\]

Thus, the digits shifted two places to the right because they're worth 100 times less than what they were before.