Decimals Duel: How to Master the Art of Comparison
Decimals represent parts of a whole, and comparing them is essential in various mathematical and real-world scenarios. When comparing decimals, it’s crucial to look at each place value, starting from the leftmost digit, and work our way to the right. Let’s delve into the techniques to compare decimals effectively.
[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"]
Comparing Decimals
Example 1:
Decimals to Compare: \(0.6\) and \(0.58\)
Comparison:
Starting from the tenths place, the digit in \(0.6\) is \(6\), while in \(0.58\), it’s \(5\). Since \(6\) is greater than \(5\), \(0.6\) is greater than \(0.58\).
Detailed Answer:
\(0.6 > 0.58\)
The Absolute Best Book for 5th Grade Students
Example 2:
Decimals to Compare: \(0.72\) and \(0.725\)
Comparison:
Both numbers have \(7\) in the tenths place. Moving to the hundredths place, both have \(2\). However, \(0.725\) has an additional digit in the thousandths place, which makes it larger.
Detailed Answer:
\(0.725 > 0.72\)
When comparing decimals, it’s essential to consider each place value. If the decimals have different numbers of digits, remember that trailing zeros (like in \(0.450\)) don’t affect the value. With practice, you’ll become adept at comparing decimals swiftly and accurately!
Practice Questions:
1. Which is greater: \(0.45\) or \(0.450\)?
2. Compare \(0.9\) and \(0.89\). Which is larger?
3. Determine the smaller decimal between \(0.123\) and \(0.13\).
4. Which is greater: \(0.505\) or \(0.51\)?
5. Compare \(0.67\) and \(0.670\). Which is smaller?
A Perfect Book for Grade 5 Math Word Problems!
Answers:
1. They are equal.
2. \(0.9\)
3. \(0.123\)
4. \(0.51\)
5. They are equal.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- 7th Grade Common Core Math FREE Sample Practice Questions
- Full-Length ACT Math Practice Test
- How to Understand Co-Function, Even-Odd, and Periodicity Identities in Trigonometry
- How to Solve Rational Exponents and Radicals?
- FREE 5th Grade MAP Math Practice Test
- How to Use Right-Triangle Trigonometry
- The Ultimate 7th Grade MAP Math Course (+FREE Worksheets)
- What Happens If You Fail the STAAR Test in High School?
- Grade 3 Math: Comparing Fractions
- How to Solve Pythagorean Theorem Problems? (+FREE Worksheet!)
What people say about "Decimals Duel: How to Master the Art of Comparison - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.