Eureka Math Lesson 16 Homework 5.4 Answer Key -

Solve and show the steps.

a. $9.24 \times 15$

b. $3.46 \times 28$

c. $29.5 \times 48$

d. $67.4 \times 32$

Solve word problems involving fraction multiplication (e.g., finding a fraction of a fraction).

Before diving into the answers, let’s clarify the objective. Lesson 16 teaches students to solve word problems involving fraction-by-fraction multiplication.

By this point, students have moved beyond multiplying fractions by whole numbers. Now, they must tackle problems like: "Tom has 2/3 of a pound of cheese. He uses 1/4 of that cheese for a sandwich. How much cheese did he use?"

The key concept is the phrase "of" — in math, "of" usually means multiplication. The lesson also reinforces drawing tape diagrams (strip models) to visualize the problem.

A common mistake is using the answer key to copy answers. Here is a parent-approved method for using the key to actually teach:

Question: Lisa has 5/6 gallon of milk. She drinks 1/4 of the milk. Then she gives 1/3 of the remaining milk to her cat. How much milk does she have left?

Step 1: Milk after drinking: 5/6 – (1/4 × 5/6) = 5/6 – 5/24 = 20/24 – 5/24 = 15/24 = 5/8 gallon. Step 2: Milk given to cat: 1/3 × 5/8 = 5/24 gallon. Step 3: Milk left: 5/8 – 5/24 = 15/24 – 5/24 = 10/24 = 5/12 gallon.

Final Answer: 5/12 gallon.

Solve. (Note: This question usually asks to solve the problem created in Question 3 or to verify the calculation.)

Calculation: $5.82 \times 4.5

Eureka Math Lesson 16 Homework 5.4 Answer Key: A Comprehensive Guide

Eureka Math is a popular mathematics curriculum used in many schools across the United States. The curriculum is known for its rigorous and engaging approach to teaching math, and one of the key components is the homework assignments. In this article, we will provide the answer key for Eureka Math Lesson 16 Homework 5.4, along with a brief overview of the lesson and some tips for completing the homework.

Lesson Overview

Lesson 16 in Eureka Math Grade 5 Module 5 is focused on applying the concept of area to real-world problems. Students learn to calculate the area of complex shapes by decomposing them into simpler shapes. The lesson builds on previous lessons, where students have learned to calculate the area of rectangles, triangles, and quadrilaterals.

Homework 5.4

In Homework 5.4, students are asked to apply their knowledge of area to solve a variety of problems. The homework assignment consists of 10 problems, each requiring students to calculate the area of a complex shape. The problems are designed to challenge students to think critically and apply their knowledge of area to real-world scenarios.

Eureka Math Lesson 16 Homework 5.4 Answer Key

Here are the answers to Homework 5.4:

Problem 1: Shape A: 6 × 4 = 24 square units Shape B: 4 × 2 = 8 square units Total area: 24 + 8 = 32 square units

Problem 2: Rectangle: 8 × 5 = 40 square units Triangle: 1/2 × 4 × 3 = 6 square units Total area: 40 + 6 = 46 square units

Problem 3: Area of rectangle: 10 × 6 = 60 square units Area of triangle: 1/2 × 4 × 6 = 12 square units Total area: 60 + 12 = 72 square units

Problem 4: Shape A: 8 × 3 = 24 square units Shape B: 3 × 2 = 6 square units Total area: 24 + 6 = 30 square units

Problem 5: Area of rectangle: 9 × 5 = 45 square units Area of triangle: 1/2 × 5 × 3 = 7.5 square units Total area: 45 + 7.5 = 52.5 square units

Problem 6: Shape A: 5 × 4 = 20 square units Shape B: 2 × 3 = 6 square units Total area: 20 + 6 = 26 square units Eureka Math Lesson 16 Homework 5.4 Answer Key

Problem 7: Area of rectangle: 7 × 4 = 28 square units Area of triangle: 1/2 × 3 × 4 = 6 square units Total area: 28 + 6 = 34 square units

Problem 8: Shape A: 6 × 5 = 30 square units Shape B: 3 × 2 = 6 square units Total area: 30 + 6 = 36 square units

Problem 9: Area of rectangle: 8 × 6 = 48 square units Area of triangle: 1/2 × 5 × 6 = 15 square units Total area: 48 + 15 = 63 square units

Problem 10: Shape A: 9 × 4 = 36 square units Shape B: 2 × 3 = 6 square units Total area: 36 + 6 = 42 square units

Tips for Completing Homework

By following these tips and using the answer key provided, students should be able to complete Homework 5.4 with confidence.

💡 Key Concept: Multiplying Fractions by Fractions In this lesson, the goal is to find a fraction of a fraction using area models and the standard algorithm (multiplying numerators and denominators). 📝 Homework Solutions Problem 1: Area Models Task: Draw an area model to solve the expressions. 1/3 of 1/4

Logic: Divide a square into 4 vertical columns; shade 1. Divide into 3 horizontal rows; shade 1. Result: 1 out of 12 squares are double-shaded. Answer: 1/12 1/2 of 3/5

Logic: Draw 5 vertical columns; shade 3. Split horizontally in half; shade 1 row. Result: 3 out of 10 squares are double-shaded. Answer: 3/10 Problem 2: Standard Algorithm Task: Solve using the multiplication rule ( 2/3 × 3/4 Multiply tops: Multiply bottoms: Simplify: 6/12 = 1/2 5/6 × 1/2 Multiply tops: Multiply bottoms: Answer: 5/12 Problem 3: Word Problem

Scenario: A fundraiser raised some money. 2/5 of the money goes to the school library. 1/3 of the library money is spent on new books. What fraction of the total money is spent on books? Equation: 1/3 of 2/5 →right arrow 1/3 × 2/5 Calculation: Statement: 2/15 of the total money is spent on new books. 🚀 Quick Tips for Success

"Of" means multiply: Whenever you see "1/2 of 1/4," replace "of" with "×."

Check units: Ensure your final answer is simplified to its lowest terms.

Overlap: In area models, the answer is always the part where the two shadings overlap. If you'd like to dive deeper into these problems: Specific question you're stuck on (e.g., Problem 4 or 5) Step-by-step visual for the area models Similar practice problems to test your skills Which part of the homework should we look at next?

Eureka Math Lesson 16 Homework 5.4 Answer Key: A Comprehensive Guide Solve and show the steps

Eureka Math, also known as EngageNY Math, is a popular math curriculum used in many schools across the United States. The curriculum is designed to help students develop a deep understanding of mathematical concepts and apply them to real-world problems. In this article, we will focus on Eureka Math Lesson 16 Homework 5.4 and provide a comprehensive answer key to help students and teachers navigate this specific lesson.

What is Eureka Math Lesson 16 Homework 5.4?

Eureka Math Lesson 16 Homework 5.4 is a homework assignment that corresponds to Lesson 16 in Module 5 of the Eureka Math curriculum. This lesson is part of the Grade 5 curriculum and focuses on the concept of converting between different units of measurement.

Objectives of Eureka Math Lesson 16 Homework 5.4

The objectives of Eureka Math Lesson 16 Homework 5.4 are:

Eureka Math Lesson 16 Homework 5.4 Problems

The homework assignment consists of 10 problems that cover the objectives mentioned above. Here are the problems:

Eureka Math Lesson 16 Homework 5.4 Answer Key

Here are the answers to the homework problems:

Step-by-Step Solutions

Here are the step-by-step solutions to each problem:

Conclusion

Eureka Math Lesson 16 Homework 5.4 is an important assignment that helps students develop their understanding of converting between different units of measurement. By providing a comprehensive answer key and step-by-step solutions, we hope to help students and teachers navigate this specific lesson with ease. Whether you are a student looking for help with your homework or a teacher looking for resources to support your students, this article is designed to be a valuable resource.