# Grade 6 integers worksheets: Graphing and comparing integers

Hello, and welcome to the world of integers! Our concern in this article is to teach Grade 6 students how to graph integers on a number line and compare them using greater than, less than, or equal to symbols. So, why wait? Visit Mathskills4kids.com and download outstanding Grade 6 integers worksheets designed to offer your child the best Graphing and comparing integers skills.

• ## Unlocking the Power of Integers: Grade 6 Graphing and Comparing Worksheets

Ready to take your students' math skills to the next level? Introducing our Grade 6 Graphing and Comparing Worksheets, designed to unlock the power of integers and make learning math an engaging experience.

With these worksheets, your students will develop a deep understanding of graphing and comparing integers, allowing them to tackle real-world math problems confidently. Our carefully crafted exercises provide ample practice in interpreting number lines, plotting points, and identifying patterns, ensuring your students master these essential skills.

But it's not all about numbers - our worksheets are designed to be interactive and fun, with colorful visuals and relatable examples that keep students engaged and excited to learn.

Whether teaching in a traditional classroom or through remote learning, our Grade 6 Graphing and Comparing Worksheets are the perfect tool to enhance your math curriculum and empower your students to excel in their mathematical journey. Get ready to see their confidence soar as they unlock the power of integers!

• ### What are integers, and how to graph them on a number line

Do you know what integers are? Do you also know how to graph them on a number line? Let’s find out together!

Integers are whole numbers that can be positive, negative, or zero. For example, 3, -5, 0, 12, and -8 are all integers. A number line is a horizontal line that has numbers marked on it. The number zero is in the middle of the line, and the positive numbers are to the right of zero, while the negative numbers are to the left of zero.

To graph an integer on a number line, find the point corresponding to that number and make a dot or a circle on it. For example, to graph 3 on a number line, make a dot on the point that is three units to the right of zero. To graph -5 on a number line, make a dot on the point that is five units to the left of zero.

• ### Understanding positive and negative integers

Positive and negative integers have different meanings depending on the context. For example;

• If we are talking about temperature, a positive integer means that it is above zero degrees Celsius. In contrast, a negative integer means that it is below zero degrees Celsius.
• If we are talking about elevation, a positive integer means that we are above sea level, while a negative integer means that we are below sea level.
• If we are talking about money, a positive integer means that we have gained or earned some amount, while a negative integer means that we have lost or spent some amount.
• ### How to compare integers using greater than, less than, or equal to symbols

To compare two integers, we use the symbols > (greater than), < (less than), or = (equal to). For example:

• 3 > -5 means that 3 is greater than -5,
• -8 < 0 means that -8 is less than 0,
• 12 = 12 means that 12 is equal to

To compare two integers on a number line, we look at their relative positions. The integer that is closer to the right of the number line is greater than the integer that is closer to the left of the number line. For example, 3 is greater than -5 on a number line because 3 is closer to the right than -5. Similarly, -8 is less than 0 because -8 is closer to the left than 0.

• ### How to use absolute value to find the distance between two integers

The absolute value of an integer is its distance from zero on a number line. It is always positive or zero. To find the absolute value of an integer, we ignore its sign and write it as a positive number. For example, the absolute value of 3 is 3, the absolute value of -5 is 5, and the absolute value of 0 is 0. To find the distance between two integers on a number line, we can use their absolute values.

The distance between two integers equals the difference between their absolute values. For example, to find the distance between 3 and -5 on a number line, we can subtract their absolute values: |3| - |-5| = 3 - 5 = 2. The distance between 3 and -5 is 2 units.

• ### Solving real-world problems using graphing and comparing integers

We can use graphing and comparing integers to solve many real-world problems involving temperature, elevation, money, etc. For example, suppose we want to know how much warmer it was in Miami than in New York on a particular day; we can use a number line to graph the temperatures in both cities and compare them using symbols.

Suppose Miami had a temperature of 25°C and New York was -2°C.

We can graph these temperatures on a number line as shown below:

As we can see, Miami is warmer than New York because 25 is greater than -2 on the number line.

So, we can write this as 25 > -2.

To find out how much warmer Miami was than New York, we can subtract their temperatures: 25 - (-2) = 25 + 2 = 27.

Miami was 27°C warmer than New York.

• ### Tips and tricks for mastering integers in Grade 6 math

Here are some tips and tricks for mastering integers in grade 6 math:

• Remember the rules for adding, subtracting, multiplying, and dividing integers. For example, when adding two integers with the same sign, we add their absolute values and keep their sign.

When adding two integers with different signs, we subtract their absolute values and take the sign of the larger absolute value.

The result is positive when multiplying or dividing two integers with the same sign. The result is negative when multiplying or dividing two integers with different signs.

• Use a number line to visualize and compare integers. A number line can also help us perform operations with integers, such as adding, subtracting, and finding absolute values.
• Use real-world examples to understand and apply integers. For example, we can use temperature, elevation, money, time, and more to represent and solve problems with integers.
• Practice, practice, practice! The more students practice with integers, the more confident and comfortable they will become with them. Encourage your 6th Grade students to use worksheets, games, quizzes, puzzles, and more to practice their skills with integers.
• ### Grade 6 graphing and comparing integers worksheets for practice

If you want to test your 6th grader's skills and knowledge on graphing and comparing integers, you can try Mathskills4kids’ Grade 6 integers worksheets that cover the topics we discussed in this article.

You can download and print them out for free or do them online with your students. Each worksheet has a set of questions, an answer key, and an explanation of how to solve each problem.

You can also check your student’s progress with a score report that shows how many questions they answered correctly and how long it took them to complete the worksheet.

• Understanding integers: This worksheet helps students review the basics of integers, such as what they are, how to write them, and how to identify them on a number line. They will also practice adding and subtracting integers using the rules of signs.
• Integers on number lines: This worksheet will help 6th graders to practice graphing integers on horizontal and vertical number lines. They will also learn how to use arrows to show the direction and magnitude of an integer.
• Graph integers on horizontal and vertical number lines: This worksheet will help learners practice graphing integers on horizontal and vertical number lines. They will also learn how to label the points with their coordinates and how to find the coordinates of a point given its graph.
• Understand absolute value: This worksheet will help students understand the concept of absolute value, which is the distance of an integer from zero on a number line. They will also learn how to find the absolute value of an integer using brackets or a vertical bar symbol.
• Absolute value and opposite integers: This worksheet will help 6th Grade students practice finding the absolute value and the opposite of an integer. They will also learn how to use the properties of absolute value and opposite integers to simplify expressions and solve equations.
• Compare integers: This worksheet will help learners practice comparing integers using greater than, less than, or equal to symbols. They will also learn how to use a number line to compare integers visually and how to order integers from least to greatest or vice versa.
• Put integers in order: This worksheet will help 6th graders practice putting integers from least to greatest or from greatest to least. They will also learn how to use a number line to check their answers and arrange integers in ascending or descending order.
• Integers inequalities with absolute values: This worksheet will help students practice solving inequalities that involve integers and absolute values. They will also learn how to graph the solutions of inequalities on a number line and write the solutions using interval or set notation.
• Integers and absolute values word problems: This worksheet will help children practice solving real-world problems that involve integers and absolute values. They will also learn how to translate words into mathematical expressions and equations and how to use different strategies to solve word problems.

### Bonus: additional resources for further learning integers and practice

• [Khan Academy: Integers](https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic) - This website has video lessons, interactive exercises, and quizzes on integers and negative numbers. 6th graders can learn about the basics of integers, how to add, subtract, multiply, and divide them, and how to use them in word problems.
• [IXL: Grade 6 Integers](https://www.ixl.com/math/grade-6/integers) - This website has online worksheets on various topics related to integers, such as graphing, comparing, ordering, absolute value, and operations. Students can get instant feedback and track their progress as they practice.
• [Math Goodies: Integer Worksheets](https://www.mathgoodies.com/lessons/vol5/compare_order) - This website has printable worksheets on graphing and comparing integers. You can choose the difficulty level of students, the number of questions, and the worksheet format. You can also get the answer keys and explanations for each question.

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### Conclusion

Integers are an essential part of grade 6 math. They help students represent many things in math and real life, such as temperature, elevation, money, etc.

They also help learners perform adding, subtracting, multiplying, and dividing operations. By learning how to graph and compare integers on a number line, your 6th graders can understand the meaning of positive and negative integers, use symbols to compare them, use absolute value to find the distance between them and solve real-world problems using them.

By following the tips and tricks in this article and using the worksheets and resources provided, your children can master integers in grade 6 math. They can also have fun and enjoy learning about integers. Integers are powerful tools that will help 6th graders unlock many mathematical concepts and skills in the future. So please encourage your students not to fear integers; they should instead embrace them!

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Grade 6 integers worksheets: Graphing and comparing integers | Printable Integers Exercises With Answers

# Grade 6 integers worksheets: Graphing and comparing integers

## Printable integers exercises with answers

Get a speedy grasp of integer’s fluency with Grade 6 integers worksheets: Graphing and comparing integers. The mastery and functioning of natural numbers and their negatives is of great use to young mathematicians, both in advanced math concepts and in real life. In line with this, our well modelled and fun printable integers exercises with answers are a perfect guide to kid’s knowledge of where and when to use positive and negative integers.

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It is commonly observed that most kids face difficulties when dealing with positive and negative numbers. Without much stress, get quick solutions to your kid’s difficulty with these inspirational printable integers exercises. You’ll consequently boast of their instant and concrete understanding of integers.

### How can mental models enhance a deeper insight into the functioning of integers?

Grade 6 integers worksheets: Graphing and comparing integers are enriched with amazing mental models, these tools are helpful to allow kids easily visualize and bring together the reality of positive and negative numbers in real world contexts.

You’ll however find here simple tricks on how mental models can enhance a deeper insight into the functioning of integers. This is evidenced with our printable integers exercises with answers such as understanding integers (integer number line), understand absolute value, graph integers on vertical and horizontal number line, etc.

These number lines will enable kids to understand that positive and negative numbers are used together to describe quantities having opposite directions or values. Also, they’ll concretely use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

### Interest in developing simple strategies fast learning integers

Our interest in developing simple strategies fast learning integers is as regards the importance and use of both positive and negative numbers in math. Hence, understanding integers is a great way for kids to easily;

• Compare numbers, mindless of how big or small they appear
• Understand absolute value
• Understand opposite integers etc.

Besides, engaging in our Grade 6 integers worksheets: Graphing and comparing integers do not only offer opportunities to gains in math classes but also to other subjects, as well as real life situations. The following real life concepts are best to use when referring to negative integers;

• Temperature below zero
• Owing money
• Loss
• Decrease
• Withdrawal

N.B:

Any number below zero is a negative integer.

With negative integers, as the digit gets bigger, the number gets smaller. For instance -9 is smaller than -4.

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