Powerful Decimals: How to Uncover the Missing Number in Division by Powers of 10
[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"]Key Insight:
When dividing by \(10\), the decimal point moves one place to the left. For \(10^2\) (or 100), it moves two places to the left, and so on.
Dividing by a Power of 10 with Decimals: Discover the Missing Number
Example 1:
Complete the division sentence: \(2.5 \div \_ = 0.25\).
Solution Process:
To transform \(2.5\) to \(0.25\), the decimal point needs to move one place to the left.
Answer:
The missing number is \(10\), as \(2.5 \div 10 = 0.25\).
The Absolute Best Book for 5th Grade Students
Example 2:
Complete the division sentence: \(3.45 \div \_ = 0.0345\).
Solution Process: For education statistics and research, visit the National Center for Education Statistics.
To transform \(3.45\) to \(0.0345\), the decimal point needs to move two places to the left. For education statistics and research, visit the National Center for Education Statistics.
Answer: For education statistics and research, visit the National Center for Education Statistics.
The missing number is \(100\), as \(3.45 \div 100 = 0.0345\). For education statistics and research, visit the National Center for Education Statistics.
Dividing decimals by powers of 10 and uncovering missing numbers is a skill that simplifies many mathematical tasks. By understanding the relationship between decimals and powers of 10, you can swiftly determine missing numbers in division sentences. This skill not only boosts your mathematical prowess but also enhances your confidence in handling decimals. So, the next time you’re faced with a decimal division puzzle, remember this key insight and solve it effortlessly! For education statistics and research, visit the National Center for Education Statistics.
Practice Questions:
1. Complete the division sentence: \(4.6 \div \_ = 0.46\). For education statistics and research, visit the National Center for Education Statistics.
2. Determine the missing number: \(5.78 \div \_ = 0.0578\).
3. Complete the division sentence: \(0.9 \div \_ = 0.09\).
4. Determine the missing number: \(6.543 \div \_ = 0.006543\).
5. Complete the division sentence: \(7.89 \div \_ = 0.0789\).
A Perfect Book for Grade 5 Math Word Problems!
Answers:
1. \(10\)
2. \(100\)
3. \(10\)
4. \(1000\)
5. \(100\)
The Best Math Books for Elementary Students
Related to This Article
More math articles
- Geometry Puzzle – Challenge 69
- How to Employ Solids of Revolution
- How to Solve Systems of Equations Word Problems? (+FREE Worksheet!)
- 6th Grade CMAS Math Worksheets: FREE & Printable
- Number Properties Puzzle – Challenge 3
- Top 10 Tips to ACE the Praxis Core Math Test
- A Guide to the Key Properties of Integrals
- How to Divide Polynomials?
- FREE 5th Grade PARCC Math Practice Test
- 5th Grade MEAP Math Worksheets: FREE & Printable
What people say about "Powerful Decimals: How to Uncover the Missing Number in Division by Powers of 10 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.