This document provides the answer key for Eureka Math Grade 4, Module 4, Lesson 10 homework. Remember that understanding the process is far more important than just having the answers. Use this key to check your work and identify areas where you might need further review. If you're struggling with a specific problem, revisit the lesson materials and examples before looking at the answer.
Please note: Without access to the specific problems in your homework assignment, I cannot provide the exact answers. Eureka Math problems often vary slightly from year to year and between different implementations. However, I can give you a general idea of the types of problems you'll encounter and how to solve them. This will help you check your own work effectively.
Common Problem Types in Eureka Math Grade 4 Module 4 Lesson 10
Lesson 10 typically focuses on adding and subtracting mixed numbers, often involving regrouping (borrowing or carrying). Here's a breakdown of common problem types and strategies:
Adding Mixed Numbers:
Example: 2 ¾ + 1 ½
- Add the fractions: ¾ + ½ = ? (You'll likely need to find a common denominator.)
- Add the whole numbers: 2 + 1 = 3
- Combine: Add the result from step 1 to the result from step 2. You may need to simplify the resulting mixed number.
Example requiring regrouping: 3 ½ + 2 ⅔
- Find a common denominator: The common denominator of 2 and 3 is 6. Rewrite the fractions.
- Add the fractions: 3/6 + 4/6 = 7/6 (This is an improper fraction)
- Regroup: 7/6 is equal to 1 1/6.
- Add the whole numbers and the regrouped fraction: 3 + 2 + 1 1/6 = 6 1/6
Subtracting Mixed Numbers:
Example: 3 ¾ - 1 ½
- Find a common denominator: The common denominator is 4.
- Subtract the fractions: ¾ - 2/4 = 1/4
- Subtract the whole numbers: 3 - 1 = 2
- Combine: 2 1/4
Example requiring regrouping: 4 ⅓ - 2 ⅔
- Find a common denominator: The common denominator is 3.
- Regroup: You cannot subtract ⅔ from ⅓, so you need to borrow 1 from the whole number 4. This 1 becomes 3/3.
- Subtract the fractions: (3/3 + 1/3) - ⅔ = 4/3 - 2/3 = ⅔
- Subtract the whole numbers: 3 - 2 = 1
- Combine: 1 ⅔
How to Use This Answer Key Effectively
- Attempt each problem on your own first. This is crucial for learning.
- Check your work using the strategies outlined above.
- Compare your answers to the solutions you find in your textbook or online resources (if available). Remember that slight variations in wording or presentation might exist.
- Focus on understanding the process, not just getting the right answer. If you got a problem wrong, identify where you went wrong and correct your understanding.
By using this guide and focusing on the process, you'll be well-equipped to master adding and subtracting mixed numbers in Eureka Math. Good luck!
