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
Multiply \(2.3\) by \(4\).
1. Break \(2.3\) into \(2 + 0.3\).
2. Apply the distributive property: \(4 \times (2 + 0.3) = (4 \times 2) + (4 \times 0.3)\).
\(4 \times 2 = 8\) and \(4 \times 0.3 = 1.2\). Summing these gives \(9.2\).
The Absolute Best Book for 5th Grade Students
Multiply \(3.5\) by \(3\).
1. Break \(3.5\) into \(3 + 0.5\).
2. Apply the distributive property: \(3 \times (3 + 0.5) = (3 \times 3) + (3 \times 0.5)\).
\(3 \times 3 = 9\) 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!
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!
The Best Math Books for Elementary Students
Related to This Article
More math articles
- How to Prepare for Maths Exams?
- 5 Best Laptops for Math Students
- The Ultimate CLEP College Math Formula Cheat Sheet
- How to Solve Simple Interest Problems? (+FREE Worksheet!)
- 8th Grade IAR Math Worksheets: FREE & Printable
- How to Remove Discontinuities?
- The Ultimate SAT Math Course (+FREE Worksheets & Tests)
- How Is Math Use in Solar Energy?
- 8th Grade MEA Math Worksheets: FREE & Printable
- How to Use Expanded Form to Multiply One-Digit Numbers By 3-digit or 4-digit Numbers