Subtracting Integers Worksheet
Subtracting Integers Worksheet offers three engaging worksheets at varying difficulty levels to help users sharpen their skills in integer subtraction through practice and reinforcement.
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Subtracting Integers Worksheet – Easy Difficulty
Subtracting Integers Worksheet
Name: _______________
Date: _______________
Instructions: Below are different styles of exercises designed to help you practice subtracting integers. Complete each section by showing your work where necessary.
1. Fill in the Blanks
For each exercise, fill in the blank with the correct answer to the subtraction problem.
a) 7 – 3 = _______
b) -5 – 4 = _______
c) 10 – (-2) = _______
d) -3 – (-6) = _______
e) 0 – 8 = _______
2. True or False
Decide whether the statement is true or false. Write “True” or “False” next to each statement.
a) 5 – 7 = -2 __________
b) -8 – 2 = -10 __________
c) -4 – 4 = 0 __________
d) 6 – (-3) = 3 __________
e) 2 – 5 = -3 __________
3. Word Problems
Read each problem carefully and write the equation to find the solution.
a) Lisa had 12 apples, and she gave away 5. How many apples does she have now?
Equation: 12 – 5 = _______
Answer: __________
b) John was in a debt of 15 dollars. If he pays back 7 dollars, how much debt does he have now?
Equation: -15 – 7 = _______
Answer: __________
c) A temperature dropped from 3 degrees to -5 degrees. How much did the temperature decrease?
Equation: 3 – (-5) = _______
Answer: __________
4. Matching
Match the subtraction problem to its answer.
a) 9 – 6 1) -14
b) -2 – 3 2) 3
c) 4 – (-2) 3) -11
d) -10 – 4 4) 6
Write the letter of the answer next to the number.
1) _____
2) _____
3) _____
4) _____
5. Challenge Yourself
Solve the following problems and explain your thought process.
a) -7 – 3 = _______
What happens to the number when you subtract a positive number from a negative number?
b) 5 – (-4) = _______
How does subtracting a negative number affect the overall result?
6. Reflection
Write a few sentences about how you feel about subtracting integers. What do you find easy, and what is challenging?
__________________________________________________
__________________________________________________
__________________________________________________
Review your answers and make sure to ask your teacher if you have any questions!
Subtracting Integers Worksheet – Medium Difficulty
Subtracting Integers Worksheet
1. Introduction to Subtracting Integers:
Subtracting integers involves finding the difference between two numbers. Remember that subtracting a negative number is equivalent to adding a positive number.
2. Number Line Visualization:
Use the number line below to solve the following problems by starting at the first integer and moving left for subtraction.
– Problem 1: 5 – 3 = ?
– Problem 2: -2 – 4 = ?
– Problem 3: -5 – (-3) = ?
– Problem 4: 7 – 9 = ?
3. Fill in the Blanks:
Complete the equations by filling in the missing integer.
– a. 8 – ___ = 3
– b. ___ – 6 = -1
– c. -3 – ___ = -7
– d. 0 – ___ = -4
4. True or False:
Determine whether each statement is true or false.
– a. Subtracting a positive integer from a negative integer always results in a negative integer.
– b. The result of 3 – (-2) is greater than 5.
– c. Subtracting a negative integer from a positive integer yields a positive result.
– d. 10 – 10 = -10.
5. Word Problems:
Read each scenario and write out the subtraction equation, then solve.
– a. Sarah has 12 apples. She gives away 5 apples to her friend. How many apples does she have left?
– b. A submarine is at a depth of -200 meters. It rises 75 meters. What is its new depth?
– c. A bank account has a balance of -50 dollars. If 30 dollars are deposited, what is the new balance?
6. Multiple Choice Questions:
Choose the correct answer for each question.
– a. What is the result of 6 – 9?
A) -3
B) 3
C) 15
– b. Which operation gives you the same result as -8 – 5?
A) -8 + 5
B) -8 + (-5)
C) -8 – (-5)
– c. What is -15 – (-10)?
A) -5
B) -25
C) -10
7. Solve the Equations:
Calculate the difference for each subtraction operation.
– a. 14 – 19 =
– b. -6 – (-2) =
– c. -10 – 4 =
– d. 3 – (-7) =
8. Challenge Questions:
Write out a brief explanation for each of the following problems after solving them.
– a. Why is 0 – (-5) equal to 5?
– b. Explain the difference between subtracting a negative integer and subtracting a positive integer.
9. Reflection:
Write a few sentences on what you found easy or challenging about subtracting integers. How can you improve your understanding of this topic?
10. Review:
Go back through your answers and ensure you understand each solution. If any answers are incorrect, revisit the concepts and try to find similar problems to strengthen your skills.
Subtracting Integers Worksheet – Hard Difficulty
Subtracting Integers Worksheet
Objective: To practice and master the skill of subtracting integers through various exercise styles.
1. Direct Calculation
Calculate the following integer subtractions. Show all work for full credit.
a. 8 – 5 =
b. -7 – 3 =
c. 15 – (-4) =
d. -6 – (-9) =
e. 12 – 20 =
2. Word Problems
Write the mathematical expression for each scenario below and solve.
a. A submarine is at -50 meters below sea level. It rises 25 meters. What is the new depth?
Expression:
Calculation:
b. A football team loses 14 points in a game and then scores 7 points. What is their current score?
Expression:
Calculation:
c. Temperatures dropped from 3 degrees to -5 degrees overnight. By how many degrees did the temperature decrease?
Expression:
Calculation:
3. True or False
Determine if the following statements are true or false. Provide reasoning for your answers.
a. 10 – (-3) = 13
b. -4 – 2 = -6
c. 0 – 7 = -7
d. -15 – (-5) = -10
e. 5 – 5 = 0
4. Fill in the Blanks
Complete each equation and solve for the missing value.
a. x – 7 = -10; therefore, x =
b. -3 – y = 4; therefore, y =
c. 12 – z = -8; therefore, z =
d. 0 – a = -12; therefore, a =
e. -11 – b = -6; therefore, b =
5. Integer Number Line
Use a number line to visualize and solve the following problems. Mark each step clearly.
a. Start at -3 and subtract 5. Where do you end up?
Solution:
b. Start at 6 and subtract -4. Where do you end up?
Solution:
c. Start at -8 and subtract -2. Where do you end up?
Solution:
6. Create Your Own Problems
Invent three original subtraction problems involving integers. Solve them as well.
a.
Problem:
Solution:
b.
Problem:
Solution:
c.
Problem:
Solution:
7. Challenge Yourself
Solve the following problems that require multiple steps or combining concepts.
a. If you have a debt of $40 and you gain $25, how much do you still owe?
b. A diver descends 30 feet and then rises 15 feet. What is their current position relative to sea level?
c. The temperature was -10 degrees in the morning but increased by 7 degrees throughout the day. What is the temperature now?
Answers:
1.
a. 3
b. -10
c. 19
d. 3
e. -8
2.
a. Expression: -50 + 25; Calculation: -25
b. Expression: -14 + 7; Calculation: -7
c. Expression: 3 – (-5); Calculation: 8
3.
a. True
b. True
c. True
d. True
e. True
4.
a. -3
b. -7
c. 20
d. 12
e. 5
5.
a. -8
b. 10
c. -10
6.
a. Problem: 4 – 9; Solution: -5
b. Problem: -3 – 7; Solution: -10
c. Problem: 2 – (-4); Solution: 6
7.
a
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How to use Subtracting Integers Worksheet
Subtracting Integers Worksheet selection begins with an assessment of your current understanding of integer operations. First, evaluate your familiarity with integers, including positive and negative numbers, and how to perform basic arithmetic involving them. Look for worksheets that feature problems aligned with your knowledge level—if you’re just starting, choose worksheets that contain simple problems with fewer integers and more straightforward equations. Gradually increase complexity as you become more comfortable with the material. Additionally, consider worksheets that include example problems and clear instructions to guide you. When tackling the topic, start by reviewing the rules of subtracting integers, such as “subtracting a negative is the same as adding a positive.” Practice regularly and mix varying difficulty levels to reinforce your learning. Whether you are solving for single-digit or multi-digit integers, take time to review your mistakes, as this will deepen your understanding and enhance your skills over time.
Engaging with the three worksheets, including the Subtracting Integers Worksheet, offers numerous benefits that can significantly enhance one’s mathematical proficiency and confidence. By completing these worksheets, individuals can assess their understanding of integer operations, identify areas where they may struggle, and track their progress over time. The structured practice provided by these worksheets not only reinforces foundational skills but also allows learners to gauge their skill level against clear benchmarks. This insight can help tailor future study sessions, focusing on specific challenges while celebrating improvements achieved. Moreover, tackling the Subtracting Integers Worksheet not only builds competence in subtraction but also fosters critical thinking and problem-solving abilities crucial for more advanced math concepts. Ultimately, the completion of these worksheets can lead to a deeper comprehension of integers, preparing students for future success in mathematics.