Distributing Decimals: How to Multiply with a 1-digit Whole Number
The distributive property is a fundamental principle in mathematics that states that multiplication distributes over addition. When applied to decimals, it provides a systematic approach to multiplying them by a 1-digit whole number. Let's delve into this method.

Distributive Property Formula:
\(a \times (b + c) = (a \times b) + (a \times c)\)
Multiplying Decimals by a 1-digit Whole Number Using the Distributive Property
Example 1:
Multiply \(2.3\) by \(4\).
Solution Process:
1. Break \(2.3\) into \(2 + 0.3\).
2. Apply the distributive property: \(4 \times (2 + 0.3) = (4 \times 2) + (4 \times 0.3)\).
Answer:
\(4 \times 2 = 8\) and \(4 \times 0.3 = 1.2\). Summing these gives \(9.2\).
The Absolute Best Book for 5th Grade Students
Example 2:
Multiply \(3.5\) by \(3\).
Solution Process:
1. Break \(3.5\) into \(3 + 0.5\).
2. Apply the distributive property: \(3 \times (3 + 0.5) = (3 \times 3) + (3 \times 0.5)\).
Answer:
\(3 \times 3 = 9\) and \(3 \times 0.5 = 1.5\). Summing these gives \(10.5\).
The distributive property offers a structured approach to multiplying decimals by 1-digit whole numbers. By breaking down the decimal into its whole number and fractional parts, you can simplify the multiplication process. This method not only reinforces your understanding of decimals but also strengthens your foundational knowledge of multiplication. With practice, you’ll find that using the distributive property makes decimal multiplication a breeze!
Practice Questions:
1. Multiply \(1.4\) by \(5\) using the distributive property.
2. Determine the product of \(2.6\) and \(6\) using the distributive property.
3. Multiply \(0.7\) by \(8\) using the distributive property.
4. Determine the product of \(3.8\) and \(7\) using the distributive property.
5. Multiply \(4.9\) by \(2\) using the distributive property.
A Perfect Book for Grade 5 Math Word Problems!

Answers:
1. \(7\)
2. \(15.6\)
3. \(5.6\)
4. \(26.6\)
5. \(9.8\)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- What is the Best Algebra Book in the World?
- Best Books for Students Preparing for the SAT Math Test
- How to Identify One-by-One Functions from the Graph
- How much Does It Cost to Retake the CBEST Test?
- The Intermediate Value Theorem
- 4th Grade MEAP Math Practice Test Questions
- 8th Grade NHSAS Math Worksheets: FREE & Printable
- Bеѕt Strategies to pass the Aссuрlасеr Test
- 3rd Grade MCAS Math Worksheets: FREE & Printable
- Your Quick Guide to the Best Tablets for Teachers
What people say about "Distributing Decimals: How to Multiply with a 1-digit Whole Number - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.