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The problem you've shared is multiplying two decimal numbers:

\[
67.8 \times 0.45
\]

Let's solve it:

1. Multiply the numbers as if they were whole numbers:
\[
678 \times 45 = 30510
\]

2. Now count the total number of decimal places in the original numbers. In this case:
   - 67.8 has 1 decimal place.
   - 0.45 has 2 decimal places.

   This gives a total of 3 decimal places.

3. Place the decimal point in the result, 30510, so that there are 3 decimal places:
\[
30510 \rightarrow 30.510
\]

Thus, the result is:

\[
67.8 \times 0.45 = 30.510
\]

Would you like further details on the multiplication process? 

Here are some related questions:

1. How do you multiply two decimal numbers manually?
2. What are the rules for handling decimal places in multiplication?
3. How can you check the result of a decimal multiplication using estimation?
4. Why is it important to keep track of decimal places?
5. How does rounding affect decimal multiplication?

**Tip:** Always align decimal points properly when adding or subtracting decimals to avoid calculation mistakes.

Learn how to multiply the decimal numbers 67.8 and 0.45 with a detailed step-by-step solution. Understand the process of decimal multiplication, including how to count decimal places and adjust the final result. Suitable for students in Grades 6-8.

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