https://file.aiquickdraw.com/mathbot/file/1726107807060ui9kakth.jpg

The image you provided shows a multiplication problem modeled using the distributive property. The goal is to multiply \( 4 \times 27 \).

The model breaks 27 into two parts: 20 and 7. This allows you to apply the distributive property:
\[
4 \times 27 = 4 \times (20 + 7) = (4 \times 20) + (4 \times 7)
\]

Looking at the diagram:

- Part (c) is labeled as 20.
- Part (d) is labeled as 7.
- Part (e) is labeled as 108, which is the total sum of the two products.

For label (a), you should write the sum of the two parts: 
\[
a = 20 + 7 = 27.
\]

So, for label **(a)**, the value should be **27**.

Would you like further details, or do you have any other questions?

Here are 5 related questions:
1. What is the distributive property of multiplication?
2. How can you decompose other two-digit numbers for easier multiplication?
3. Why is the distributive property useful for mental math?
4. How do you handle multiplication when the numbers are larger?
5. Can the distributive property be used in division problems as well?

**Tip:** Decomposing numbers into smaller, more manageable parts can simplify complex multiplication problems.

Learn how to solve the multiplication problem 4 × 27 using the distributive property. The problem decomposes 27 into 20 and 7, making the calculation easier. Suitable for students in Grades 3-5.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation