Adding And Subtracting Integers Word Problems Worksheet With Answers

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Mastering Adding and Subtracting Integers: Word Problems Worksheet with Answers

Understanding how to add and subtract integers is a fundamental skill in mathematics, essential for solving real-world problems. This comprehensive guide will help you master these concepts through engaging word problems and provide a worksheet with answers to reinforce your learning.

#### Why Learn About Adding and Subtracting Integers?

Integers are whole numbers that can be positive, negative, or zero. They are used in various real-life scenarios, such as calculating temperatures, financial transactions, and elevations. Learning to add and subtract integers helps students develop critical thinking and problem-solving skills.

#### Key Concepts in Adding and Subtracting Integers

1. **Positive and Negative Numbers**: Positive numbers are greater than zero, while negative numbers are less than zero. Zero is neutral.
2. **Addition of Integers**:
- **Same Sign**: Add the absolute values and keep the common sign.
- **Different Signs**: Subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
3. **Subtraction of Integers**: Subtracting an integer is the same as adding its opposite. For example, \(5 - (-3)\) is the same as \(5 + 3\).

#### Practical Applications of Adding and Subtracting Integers

1. **Temperature Changes**: Calculating the difference in temperatures over time.
2. **Financial Transactions**: Managing credits and debits in bank accounts.
3. **Elevation Levels**: Determining the difference in heights between two points.

#### Sample Word Problems

1. **Temperature Change**:
- Problem: The temperature was \(10^\circ C\) in the morning. By evening, it dropped by \(15^\circ C\). What is the temperature in the evening?
- Solution: \(10 + (-15) = -5^\circ C\)

2. **Financial Transaction**:
- Problem: Sarah has \$50 in her bank account. She withdraws \$70. What is her account balance?
- Solution: \(50 - 70 = -20\)

3. **Elevation Difference**:
- Problem: A submarine is at \(200\) feet below sea level. It ascends \(150\) feet. What is its new position?
- Solution: \(-200 + 150 = -50\) feet

#### Worksheet: Adding and Subtracting Integers Word Problems

**Instructions**: Solve the following word problems. Show your work and write the final answer.

1. **Temperature Drop**:
- Problem: The temperature was \(25^\circ C\) in the afternoon. By night, it dropped by \(30^\circ C\). What is the temperature at night?
- Solution: \(25 + (-30) = -5^\circ C\)

2. **Bank Account Balance**:
- Problem: John has \$100 in his bank account. He writes a check for \$150. What is his new balance?
- Solution: \(100 - 150 = -50\)

3. **Mountain Climb**:
- Problem: A hiker is at \(500\) meters above sea level. He descends \(600\) meters. What is his new elevation?
- Solution: \(500 + (-600) = -100\) meters

4. **Football Yardage**:
- Problem: A football team gains \(20\) yards on one play and loses \(35\) yards on the next. What is the net yardage?
- Solution: \(20 + (-35) = -15\) yards

5. **Debt Calculation**:
- Problem: Maria owes \$40 to her friend. She borrows another \$60. What is her total debt?
- Solution: \(-40 + (-60) = -100\)

6. **Temperature Increase**:
- Problem: The temperature was \(-10^\circ C\) in the morning. By noon, it increased by \(15^\circ C\). What is the temperature at noon?
- Solution: \(-10 + 15 = 5^\circ C\)

7. **Elevation Change**:
- Problem: A diver is \(50\) feet below sea level. He dives another \(30\) feet deeper. What is his new depth?
- Solution: \(-50 + (-30) = -80\) feet

8. **Profit and Loss**:
- Problem: A shopkeeper made a profit of \$200 on Monday and a loss of \$250 on Tuesday. What is the net profit or loss?
- Solution: \(200 + (-250) = -50\)

9. **Temperature Fluctuation**:
- Problem: The temperature was \(5^\circ C\) in the morning. It dropped by \(8^\circ C\) and then rose by \(3^\circ C\). What is the final temperature?
- Solution: \(5 + (-8) + 3 = 0^\circ C\)

10. **Bank Withdrawal**:
- Problem: Alex has \$300 in his bank account. He withdraws \$450. What is his new balance?
- Solution: \(300 - 450 = -150\)

#### Answer Key

1. \(-5^\circ C\)
2. \(-50\)
3. \(-100\) meters
4. \(-15\) yards
5. \(-100\)
6. \(5^\circ C\)
7. \(-80\) feet
8. \(-50\)
9. \(0^\circ C\)
10. \(-150\)

#### Conclusion

Mastering the addition and subtraction of integers through word problems is crucial for developing mathematical proficiency. By practicing these problems, students can enhance their problem-solving skills and apply mathematical concepts to real-world situations. Use the provided worksheet to test your understanding and check your answers to ensure accuracy.


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  adding and subtracting integers word problems worksheet with answers: Prealgebra 2e Lynn Marecek, Maryanne Anthony-Smith, Andrea Honeycutt Mathis, 2020-03-11 The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.
  adding and subtracting integers word problems worksheet with answers: New National Framework Mathematics 8 M. J. Tipler, 2003 New National Framework Mathematics features extensive teacher support materials which include dedicated resources to support each Core and Plus Book. The 8 Core Teacher Planning Pack contains Teacher Notes for every chapter with a 'Self-contained lesson plan' for each of the units in the pupil books.
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  adding and subtracting integers word problems worksheet with answers: Grade 1 Word Problems Kumon Publishing, 2008-06 Word Problems, Grade 1 is in the 'Kumon Math Workbooks: Word Problems' series designed for grades 1-6. This workbook will introduce students to word problems dealing with early addition and subtraction. Exercises use visual illustrations before moving on to problems with illustrations and questions that are only written. Designed for students to self-score their work, pages provide the number of points to assign per problem, and there's room at the top to write in how many problems they got right alongside their name and the date.
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  adding and subtracting integers word problems worksheet with answers: Grade 4 Word Problems Kumon Publishing, 2009 Kumon's Word Problems Workbooks develop the skills necessary for children's success using math inside and outside the classroom. Our unique step-by-step progression introduces children to a wide variety of word problems that inspire critical thinking. Grade 4 Word Problems focuses on word problems that cover the following topics Division Decimals Using Formulas Mixed Calculations Tables and Graphs
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  adding and subtracting integers word problems worksheet with answers: Differentiated Instruction for the Middle School Math Teacher Karen E. D'Amico, Kate Gallaway, 2008-01-02 Differentiated Instruction for the Middle School Math Teacher is a practical and easy-to-use resource for teaching a standards-based math curriculum to all learners. It gives you effective ways to present math concepts, shows how to provide opportunities for guided practice, and offers ideas for modifying the material to provide access to the same content standard for all students in the inclusive classroom. This book also contains key strategies for collaborating with other professionals, suggestions for involving the students' families by tying math concepts to students' everyday lives, and valuable assessment strategies. The lessons in the book cover middle school math topics correlated to the standards of the National Council of Teachers of Math, ranging from numbers and operations to problem solving and reasoning. Each lesson includes: Instructions for presenting the lesson to the whole class Worksheets designed to help review and reinforce theconcepts presented in each lesson A section on how to adapt the lesson for the inclusive classroom, including descriptions of different stations for different learners A home-school connection with family-based everyday math activities Suggestions for how to assess students' grasp of the concepts presented in the lesson
  adding and subtracting integers word problems worksheet with answers: Grade 2 Word Problems Kumon Publishing, 2009 Grade 2 workbook introduces word problems with multiple-digit addition and subtraction.
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  adding and subtracting integers word problems worksheet with answers: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
  adding and subtracting integers word problems worksheet with answers: Math Makes Sense 7 Ray Appel, 2016
  adding and subtracting integers word problems worksheet with answers: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
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  adding and subtracting integers word problems worksheet with answers: Which One Doesn't Belong? Christopher Danielson, 2019-02-12 Talking math with your child is simple and even entertaining with this better approach to shapes! Written by a celebrated math educator, this innovative inquiry encourages critical thinking and sparks memorable mathematical conversations. Children and their parents answer the same question about each set of four shapes: Which one doesn't belong? There's no one right answer--the important thing is to have a reason why. Kids might describe the shapes as squished, smooshed, dented, or even goofy. But when they justify their thinking, they're talking math! Winner of the Mathical Book Prize for books that inspire children to see math all around them. This is one shape book that will both challenge readers' thinking and encourage them to think outside the box.--Kirkus Reviews, STARRED review
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  adding and subtracting integers word problems worksheet with answers: Math Word Problems Made Easy Jill Safro, 2005-05-01 Help build students' problem-solving skills with super strategies for solving any math word problem. Each strategy is clearly explained and comes with practice problems that utilize the specific strategy. Students can then hone their newly acquired skill with 100 word problems on grade-specific math concepts. Great for meeting the NCTM standards!
  adding and subtracting integers word problems worksheet with answers: Math Makes Sense 5: v.2. Math makes sense 5 practice and homework book, teacher's edition Ray Appel, Peggy Morrow, Maggie Martin Connell, Pearson Education Canada, 2010
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  adding and subtracting integers word problems worksheet with answers: Skills for School Addition & Subtraction, Grade 1 , 2019-04-22 Addition & Subtraction features 64 pages of easy-to-follow activities and practice that engage children’s skills in addition and subtraction—specifically adding with numbers 0 to 10, subtracting with numbers within 20, and adding and subtracting within 100 using multiples of 10. The Skills for School series makes learning simple with colorful illustrations and step-by-step directions. Each book focuses on different early learning skills, allowing you to choose the book that best fits your child’s areas of improvement. The practice pages include fun activities that help build your child’s confidence in the subject matter and school. Each book also includes fun stickers that are great for motivating and rewarding your child
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Adding and subtracting integers word problems worksheet
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All Decimal Operations with Word Problems 1) Ellen wanted to buy the following items: A DVD player for $49.95 A DVD holder for $19.95 Personal stereo for $21.95 Does Ellen have …

DAY 1: Adding and subtracting Integers
Number Patterns can be used to illustrate addition and subtraction rules for integers. • Patterns P and Q confirm that adding a negative number has the same effect as subtracting a natural …

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Adding and Subtracting Decimals - Corbettmaths Primary
12. The numbers in this sequence increase by the same amount each time 13. Dani drives 4.8 miles to Bristol and then further 6.7 miles to Bath.

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Integers Review 1.1 Integer Operations: Patterns fdfdsfs MathLinks: Grade 8 (Student Packet 1) 1 INTEGER OPERATIONS: PATTERNS Summary (Ready) We will use patterns to revisit the …

Mathematics (Linear) 1MA0 ADDITION AND SUBTRACTION
Check your answers if you have time at the end. 1. There were 34 coins in a bag. Jim took 15 coins out of the bag. Rose put 17 coins into the bag. How many coins are now in the bag? .....

Adding and subtracting rational numbers word problems …
Adding and subtracting rational numbers word problems worksheet pdf These free equations and word problems worksheets will help your students to practice writing and solve equations that …

I. Model Problems. II. Practice III. Challenge Problems IV.
I. Model Problems In these examples you will combine like terms. Example 1: Simplify . First change subtraction to add the opposite. Next group like terms. Add the coefficients of the like …

Adding Integers - Practice Problems - BHNmath
6) a) Sonu claims that adding two positive integers always results in a positive integer. Is Sonu’s claim correct? Explain. b) Addy stated that adding two negative integers can result in a …

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Practice Workbook - McGraw Hill Education
TO THE STUDENTThis Practice Workbook gives you additional examples and problems ... 1-4 Adding Integers ... 1-5 Subtracting Integers .....5 1-6 Multiplying and Dividing Integers .....6 1-7 …

Subtraction of integers - K5 Learning
Grade 6 Integers Worksheet - Subtraction of integers Author: K5 Learning Subject: Grade 6 Integers Worksheet Keywords: Grade 6 Integers Worksheet - Subtraction of integers math …

Adding and Subtracting Decimals Word Problems …
Adding and Subtracting Decimals Word Problems Homework Read each word problem carefully. Show all your work and answer in a complete sentence. 1. You spend $6.50 on a pair of …

DECIMALS PRACTICE BOOKLET TABLE OF CONTENTS
Word form is writing the decimals in words, such as three and fifty-two hundredths. EXAMPLE A: Name the place value of the underlined digit. 14.234 3 is in the hundredths place value …

Grade 6 Integers Worksheet - Addition of Integers (-10 to …
Title: Grade 6 Integers Worksheet - Addition of Integers (-10 to +10) Author: K5 Learning Subject: Grade 6 Integers Worksheet Keywords: Grade 6 Integers Worksheet - Addition of Integers ( …

Adding And Subtracting Integers Word Problems [PDF]
Adding And Subtracting Integers Word Problems Adding And Subtracting Integers Word Problems Deborah Ann Carey Subtraction and Addition Rebecca Wingard-Nelson,2014-01-01 Readers …

Adding and Subtracting Positive and Negative Numbers …
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Adding and subtracting fractions - K5 Learning
Adding and subtracting fractions Grade 4 Word Problems Worksheet Mr. Bobbins manages an acre of mango farm. The mango farm has been open to visitors for a week. 1. Mr. Bobbins …

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Adding and Subtracting Positive and Negative Numbers Date_____ Period____ Evaluate each expression. 1) (−2) + 3 2) (−14) + (−7) 3) 3 − ... 0 j xAnlmln Yr3i bggh mt4s L nrge UsUeCr Cv …

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Addition and Subtraction Workbook - Bromley Educational Trust
column with no carrying answers Adding two 3 digit numbers in a column with carrying answers worksheet Subtracting 3 digit numbers from 3 digit numbers in a column with no ... Addition …

York Region District School Board
Worksheet Booklet The following worksheets are designed to help students practice and review key concepts and ... Adding and Subtracting Mixed Fractions (A) Find the value of each …

Adding and Subtracting Integers Worksheets 7th Grade
WWW.CUEMATH.COM • An integer can be negative, zero or positive. • A number if expressed in a fractional form is not an integer. • There are infinite real numbers between any two integers. …

Adding and subtracting fractions - K5 Learning
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Adding And Subtracting Integers Practice Worksheet
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Adding And Subtracting Integers Word Problems …
Adding And Subtracting Integers Word Problems Worksheet: ... effective Word problems are included with each day to promote higher level thinking and answers are listed in the back of …