Let's solve the expression:

\[
5.6 \times 24 + 1.4 \times 47 + 13 \times 1.4 + 6 \times 5.6
\]

We'll multiply each pair:

\[
5.6 \times 24 = 134.4
\]

\[
1.4 \times 47 = 65.8
\]

\[
13 \times 1.4 = 18.2
\]

\[
6 \times 5.6 = 33.6
\]

Now, let's add all these results together:

\[
134.4 + 65.8 + 18.2 + 33.6 = 252
\]

So, the result of the expression is:

\[
\boxed{252}
\]

Would you like further details or have any questions? Here are some related questions:

1. How do you handle addition of multiple decimal numbers?
2. What are some techniques to simplify multiplication with decimals?
3. How do you apply the associative property in arithmetic operations?
4. What are the steps to verify your answer when performing complex calculations?
5. How do you efficiently perform mental math with decimal numbers?

**Tip:** When dealing with multiple terms in an expression, consider grouping or rearranging them in a way that makes the calculation easier, especially if you can combine similar terms.

Explore how to solve a mathematical expression involving multiplication and addition with decimals. This example covers techniques for multiplying decimals and adding decimal numbers efficiently. Suitable for students in Grades 5-7.

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