Stretching the Line: How to Multiply Fractions by Whole Numbers with Number Lines
Number lines offer a visual way to understand the multiplication of fractions by whole numbers.
[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"]
By representing fractions and whole numbers on a number line, we can visually see the product and gain a deeper understanding of the multiplication process. In this guide, we’ll explore how to use number lines to multiply fractions by whole numbers.
Step-by-step Guide:
1. Setting Up the Number Line:
Draw a number line and mark it with appropriate intervals. If you’re multiplying a fraction by a whole number, the number line should extend at least up to that whole number.
2. Plotting the Fraction:
Mark the fraction you’re working with on the number line. For instance, if you’re multiplying \(\frac{1}{3}\), mark a point one-third of the way between 0 and 1.
3. Multiplying Using Jumps:
To multiply the fraction by a whole number, make “jumps” on the number line equal to the size of the fraction. The number of jumps should be equal to the whole number you’re multiplying by.
4. Determining the Product:
The point where you land after making all the jumps represents the product of the fraction and the whole number.
5. Converting Improper Fractions:
If the result is an improper fraction (i.e., the numerator is greater than the denominator), convert it to a mixed number.
Example 1:
Multiply \(\frac{1}{2}\) by 3 using a number line.
Solution:
– Draw a number line from 0 to 3.
– Mark the point \(\frac{1}{2}\) between 0 and 1.
– Make 3 jumps of size \(\frac{1}{2}\).
After 3 jumps, you’ll land on the point 1.5 or \(1 \frac{1}{2}\).
The Absolute Best Book for 5th Grade Students
Example 2:
Multiply \(\frac{2}{3}\) by 4 using a number line.
Solution:
– Draw a number line from 0 to 4.
– Mark the point \(\frac{2}{3}\) between 0 and 1.
– Make 4 jumps of size \(\frac{2}{3}\).
After 4 jumps, you’ll land on the point \(2 \frac{2}{3}\).
Practice Questions:
1. Multiply \(\frac{1}{4}\) by 4 using a number line.
2. Multiply \(\frac{3}{5}\) by 3 using a number line.
3. Multiply \(\frac{2}{6}\) by 5 using a number line.
A Perfect Book for Grade 5 Math Word Problems!
Answers:
1. 1
2. \(1 \frac{4}{5}\) or 1.8
3. \(1 \frac{2}{3}\) or 1.67
The Best Math Books for Elementary Students
Related to This Article
More math articles
- ASTB Math Formulas
- How to Calculate the Area, Perimeter, and Radius of Quarter Circles
- 6th Grade NYSE Math FREE Sample Practice Questions
- How to Find Probability of an Event? (+FREE Worksheet!)
- What is the Relationship between Dilations and Angles in Geometry
- How to Solve Word Problems Involving Dividing Fractions
- The Ultimate 6th Grade RISE Math Course (+FREE Worksheets)
- 10 Most Common 6th Grade IAR Math Questions
- How to Write an Exponential Function: Word Problems
- How to Solve Multi-Step Equations? (+FREE Worksheet!)
What people say about "Stretching the Line: How to Multiply Fractions by Whole Numbers with Number Lines - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.