Eureka Math Lesson 16 Homework 5.4 Answer Key [2025]
Solve word problems using tape diagrams and fraction multiplication. Sample Problems & Solutions 1. Mrs. Williams uses
-yard piece of ribbon to make a bow. How many yards of ribbon did she use? The Tape Diagram:
Draw a bar labeled "2 yards." Divide it into 4 equal parts. Shade 3 of them. The Calculation: The Answer: of ribbon. 2. A container holds liter of juice. If you drink of the juice, how many liters did you drink? (which means The Calculation: The Answer: 3. Simple Multiplication Problems: Quick Tips for Success "Of" means Multiply:
Whenever you see "half of" or "three-quarters of," replace the "of" with a multiplication sign. Simplify Early:
If you see a number in the numerator and denominator that share a factor (like 2 and 4), simplify them before multiplying to keep your numbers small. Units Matter:
Don't forget to label your answers (liters, yards, miles, etc.).
Do you have a specific problem from the homework that’s giving you trouble, or should we look at the next lesson?
Eureka Math Lesson 16 Homework 5.4 Answer Key: A Comprehensive Guide
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 Eureka Math Lesson 16 Homework 5.4 Answer Key
The objectives of Eureka Math Lesson 16 Homework 5.4 are:
- Students will be able to convert between different units of measurement, such as kilometers to meters, liters to milliliters, and grams to milligrams.
- Students will be able to solve real-world problems that involve converting between different units of measurement.
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:
- Convert 5 kilometers to meters.
- A water bottle can hold 2 liters of water. How many milliliters of water can it hold?
- A book weighs 250 grams. How many milligrams does it weigh?
- Convert 300 centimeters to meters.
- A car travels 250 kilometers in 5 hours. How many meters does it travel per hour?
- A recipe calls for 500 milliliters of water. How many liters of water are needed?
- A person weighs 60 kilograms. How many grams do they weigh?
- Convert 800 milligrams to grams.
- A container can hold 500 liters of water. How many milliliters of water can it hold?
- A bicycle travels 20 kilometers in 2 hours. How many meters does it travel per hour?
Eureka Math Lesson 16 Homework 5.4 Answer Key
Here are the answers to the homework problems:
- 5 kilometers = 5,000 meters
- 2 liters = 2,000 milliliters
- 250 grams = 250,000 milligrams
- 300 centimeters = 3 meters
- 250 kilometers = 250,000 meters; 250,000 meters / 5 hours = 50,000 meters per hour
- 500 milliliters = 0.5 liters
- 60 kilograms = 60,000 grams
- 800 milligrams = 0.8 grams
- 500 liters = 500,000 milliliters
- 20 kilometers = 20,000 meters; 20,000 meters / 2 hours = 10,000 meters per hour
Step-by-Step Solutions
Here are the step-by-step solutions to each problem:
- Convert 5 kilometers to meters:
- 1 kilometer = 1,000 meters
- 5 kilometers = 5 x 1,000 meters = 5,000 meters
- A water bottle can hold 2 liters of water. How many milliliters of water can it hold?
- 1 liter = 1,000 milliliters
- 2 liters = 2 x 1,000 milliliters = 2,000 milliliters
- A book weighs 250 grams. How many milligrams does it weigh?
- 1 gram = 1,000 milligrams
- 250 grams = 250 x 1,000 milligrams = 250,000 milligrams
- Convert 300 centimeters to meters:
- 1 meter = 100 centimeters
- 300 centimeters = 300 / 100 = 3 meters
- A car travels 250 kilometers in 5 hours. How many meters does it travel per hour?
- 250 kilometers = 250,000 meters
- 250,000 meters / 5 hours = 50,000 meters per hour
- A recipe calls for 500 milliliters of water. How many liters of water are needed?
- 1 liter = 1,000 milliliters
- 500 milliliters = 500 / 1,000 = 0.5 liters
- A person weighs 60 kilograms. How many grams do they weigh?
- 1 kilogram = 1,000 grams
- 60 kilograms = 60 x 1,000 grams = 60,000 grams
- Convert 800 milligrams to grams:
- 1 gram = 1,000 milligrams
- 800 milligrams = 800 / 1,000 = 0.8 grams
- A container can hold 500 liters of water. How many milliliters of water can it hold?
- 1 liter = 1,000 milliliters
- 500 liters = 500 x 1,000 milliliters = 500,000 milliliters
- A bicycle travels 20 kilometers in 2 hours. How many meters does it travel per hour?
- 20 kilometers = 20,000 meters
- 20,000 meters / 2 hours = 10,000 meters per hour
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.
Eureka Math Grade 5 Module 4 Lesson 16 focuses on solving word problems by using visual models and arithmetic. Below are the key features and concepts covered in this lesson's homework:
Primary Objective: Solving multi-step word problems involving fraction-by-fraction multiplication. Solve word problems using tape diagrams and fraction
Visual Modeling: Extensive use of tape diagrams to represent parts of a whole and clarify the steps needed to find a solution. Problem Types:
Scenarios involving "fractions of a remainder" (e.g., "half of the remaining board"). Comparing fractions of different whole quantities.
Integration of Operations: Applying knowledge of addition, subtraction, and multiplication within the context of word problems.
Challenge Level: This specific lesson is often described as quite challenging because it requires students to translate complex verbal descriptions into accurate mathematical models. Lesson 16 Homework Example
One typical problem from this homework involves Anthony buying an 8-foot board, cutting off 14one-fourth of it, and giving 13one-third of the remainder away. Step 1: Model the 8-foot board with a tape diagram. Step 2: Calculate the first cut (e.g., Step 3: Find the remainder ( feet) and take a fraction of that remainder.
For detailed video walkthroughs and step-by-step guidance, you can refer to resources like Eureka Math Homework Help on YouTube or EngageNY Lesson 16 Guidance.
If you'd like me to walk through a specific problem from this homework set: Provide the text of the problem
Share a photo or description of the diagram you're working on
Mention which specific step is causing confusion (e.g., the tape diagram setup or the final multiplication) Eureka math grade 5 module 4 lesson 16 homework
Question 1:
Solve and show the steps.
a. $9.24 \times 15$
- Step 1: Estimate: $9 \times 15 = 135$.
- Step 2: Solve: $924 \times 15 = 13,860$.
- Step 3: Adjust for decimals (2 decimal places): $138.60$.
- Answer: $138.6$ (or $138.60$)
b. $3.46 \times 28$
- Step 1: Estimate: $3 \times 30 = 90$.
- Step 2: Solve: $346 \times 28$.
- $346 \times 8 = 2,768$
- $346 \times 20 = 6,920$
- $2,768 + 6,920 = 9,688$
- Step 3: Adjust for decimals (2 decimal places): $96.88$.
- Answer: $96.88$
c. $29.5 \times 48$
- Step 1: Estimate: $30 \times 50 = 1,500$.
- Step 2: Solve: $295 \times 48$.
- $295 \times 8 = 2,360$
- $295 \times 40 = 11,800$
- $2,360 + 11,800 = 14,160$
- Step 3: Adjust for decimals (1 decimal place): $1,416.0$.
- Answer: $1,416$
d. $67.4 \times 32$
- Step 1: Estimate: $70 \times 30 = 2,100$.
- Step 2: Solve: $674 \times 32$.
- $674 \times 2 = 1,348$
- $674 \times 30 = 20,220$
- $1,348 + 20,220 = 21,568$
- Step 3: Adjust for decimals (1 decimal place): $2,156.8$.
- Answer: $2,156.8$
Step-by-Step Strategies to Solve Lesson 16 Problems Without the Key
If the answer key only gives you the final numbers, you still need the method. Here is the 3-step process Eureka Math expects:
Conclusion: Beyond the Answer Key
The Eureka Math Lesson 16 Homework 5.4 Answer Key is a valuable tool, but it is not the solution to learning fractions. The real solution lies in understanding that multiplying fractions is simply finding a "part of a part."
After checking your answers with the key above, take 10 extra minutes to draw tape diagrams for every problem—even the ones you got right. This visual habit will prepare your student for Lesson 17 (multiplying mixed numbers) and the mid-module assessment.
Final Answer Key Recap for Lesson 16 (typical version):
- 1/3 cup
- 3/5 yard
- No (explanation above)
- 3/10 acre
- 5/12 gallon
- 1/2 (model)
Use this guide to turn a frustrating homework session into a confident step forward in math mastery.
Here is the answer key for Eureka Math (Engage NY) Grade 5 Module 4 Lesson 16 Homework.
This lesson focuses on problem solving with decimal operations, specifically using the algorithm to multiply decimals and solving multi-step word problems.