eureka math lesson 10 homework 4.1 answer key

Lemon

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01-02-2025

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Finding the correct answers for Eureka Math homework can be challenging, especially when tackling complex concepts. This guide provides a detailed walkthrough of the Eureka Math Grade 4, Module 4, Lesson 10 homework problems, offering explanations and solutions to help students solidify their understanding of decimal fractions. We'll focus on the key concepts and problem-solving strategies involved. Remember to always consult your teacher or textbook for additional support if needed.

Understanding the Core Concepts:

Lesson 10 of Eureka Math Grade 4, Module 4, typically focuses on adding and subtracting decimal fractions using various strategies, including visual models (like area models) and the standard algorithm. A strong understanding of place value is crucial for success in these exercises. The homework problems will likely involve:

• Adding decimals: Combining decimal numbers, paying close attention to aligning decimal points.
• Subtracting decimals: Finding the difference between decimal numbers, ensuring proper alignment of decimal points.
• Word problems: Applying addition and subtraction of decimals to real-world scenarios.

Addressing Common Challenges:

Students often face difficulties with:

• Place value understanding: Confusion about the value of digits in different decimal places (tenths, hundredths).
• Decimal point alignment: Incorrectly aligning decimal points when adding or subtracting.
• Regrouping/borrowing: Difficulty managing regrouping or borrowing across decimal places.
• Interpreting word problems: Translating word problems into numerical expressions.

Example Problems and Solutions (Illustrative):

Since I don't have access to the specific problems in your Eureka Math Lesson 10 Homework 4.1, I'll provide examples that represent the types of problems you're likely to encounter. Replace these examples with your actual problems.

Example 1: Addition

Problem: Add 2.35 + 1.7

Solution:

1. Align decimal points: Write the numbers vertically, aligning the decimal points:

   2.35
   

• 1.70 (Add a zero as a placeholder)

2. Add the hundredths: 5 + 0 = 5

3. Add the tenths: 3 + 7 = 10. Write down 0 and carry-over 1 to the ones place.

4. Add the ones: 2 + 1 + 1 (carry-over) = 4

   2.35
   

• 1.70

  4.05

Answer: 4.05

Example 2: Subtraction

Problem: Subtract 3.48 - 1.25

Solution:

1. Align decimal points:

   3.48
   

• 1.25

2. Subtract the hundredths: 8 - 5 = 3

3. Subtract the tenths: 4 - 2 = 2

4. Subtract the ones: 3 - 1 = 2

   3.48
   

• 1.25

  2.23

Answer: 2.23

Example 3: Word Problem

Problem: Sarah bought a book for $8.95 and a pen for $2.50. How much did she spend in total?

Solution: This is an addition problem.

1. Set up the addition: $8.95 + $2.50

2. Solve: Follow the addition steps outlined in Example 1.

Answer: $11.45

Remember: Always double-check your work and use estimation to verify the reasonableness of your answers. If you're still struggling with specific problems, refer back to your lesson materials or seek help from your teacher. Understanding the underlying concepts is key to mastering decimal addition and subtraction.