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.
[include_netrun_products_block from-products="product/6-south-carolina-sc-ready-grade-3-math-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
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
- CBEST Math-Test Day Tips
- Power Series Integration: Fundamentals, Step-by-Step Methods, and Applications
- How to Solve Angles and Angle Measure? (+FREE Worksheet!)
- How to Solve Word Problems to Identify Independent and Dependent Variables
- A Comprehensive Collection of FREE SAT Math Practice Tests
- Number Properties Puzzle – Challenge 3
- FREE 3rd Grade Common Core Math Practice Test
- Perimeter for 4th Grade
- Best Free Apps That Solve Math Problems for You
- SAT Math Subjесt Lеvеl 1 Calculator Tips and Hints
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.