# Decimal Fractions

## Objective

Find the value of some combination of dollar bills and coins.

## Common Core Standards

### Core Standards

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• 4.MD.A.2 — Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

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• 2.MD.C.8

## Criteria for Success

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1. Write quarters, dimes, nickels, and pennies as fractional and decimal units of a dollar.
2. Find the total value of a combination of dollar bills, quarters, dimes, nickels and pennies and express the value as a fraction and decimal.
3. Find various combinations of coins that add up to a given amount.

## Tips for Teachers

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“Students…combine competencies from different domains as they solve measurement problems using all four arithmetic operations, addition, subtraction, multiplication, and division” (MD Progression, p. 20). Thus, students will work with money recorded as decimal quantities in Lesson 13, connecting the supporting work of measurement problems (4.MD.2) across domains to the major work with decimals (4.NF.C).

#### Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

1. What is the value of 6 dimes and 3 pennies?
2. What is the value of 4 dimes and 27 pennies?
3. What is the value of 13 dimes and 58 pennies?

#### References

Illustrative Mathematics Dimes and Pennies

Dimes and Pennies, accessed on May 29, 2018, 2:18 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by The Match Foundation, Inc.

### Problem 2

A nickel is ${{5\over100}}$ of a dollar and a quarter is ${25\over100}$ of a dollar.

1. What is the value of 2 quarters and 3 nickels? Write your answer in both fraction and decimal form.
2. What is the value of 3 quarters, 4 dimes, 1 nickel, and 3 pennies? Write your answer in both fraction and decimal form.

### Problem 3

You have $1.50 in change in your pocket. You have 20 coins. What coins do you have? #### Guiding Questions Create a free account or sign in to access the Guiding Questions for this Anchor Problem. #### References Open Middle Pocket Change 3 Pocket Change 3 by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed May 29, 2018, 2:23 p.m.. Modified by The Match Foundation, Inc. ## Problem Set & Homework #### Discussion of Problem Set • How is money related to decimals and fractions? How is it different? • I have ${{2\over5}}$ dollar in my pocket. Use what you know about equivalent fractions to determine how many cents I have. What are some possible combinations of coins that may be in my pocket? • Are$1 and $1.00 equal? Are$0.1 and $0.10 equal? Are all these forms correct? Which form may not be used frequently and why? • When adding fractions and whole numbers, we sometimes complete the next whole or the next hundred to convert it to an easier problem. How, in #4b, could you decompose 8 dimes to convert this to an easier problem? • Did anyone attempt #5? Would you believe it is more than$1.00?

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Find the total value of the coins and/or bills. Write your answer in fraction and decimal form.

1.  2 quarters and 3 dimes
2.  1 quarter, 7 dimes, and 23 pennies
3.  5 dollars, 3 quarters, 6 nickels, and 14 pennies

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 6 > Topic E > Lesson 15Exit Ticket

Grade 4 Mathematics > Module 6 > Topic E > Lesson 15 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

### Mastery Response

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