negative numbers introduction worksheet

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Negative Numbers Worksheet Hub Page

Welcome to our Negative Numbers Worksheets hub page.

On this page, you will find links to all of our worksheets and resources about negative numbers.

Need help practicing adding, subtracting, multiplying or dividing negative numbers?

You've come to the right place!

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Negative Numbers Worksheet

We have a wide range of negative number resources to help you understand and use negative numbers.

Here are the following resources we currently have on our site:

• What are Negative Numbers

Negative Number Lines

• Comparing Negative Numbers

Adding Negative Numbers

Subtracting negative numbers.

• Mutiplying Negative Numbers

Dividing Negative Numbers

• Negative Number Games
• Absolute Value Worksheets

What are Negative Numbers?

Negative numbers are numbers with a value of less than zero.

They can be fractions, decimals, rational and irrational numbers.

-13, -½ , -√2, -6.4 and -123 are all negative numbers.

We have a page dedicated to learning about negative numbers below.

We have a selection of number lines, both filled and blank that have been designed to support learning and understanding with negative numbers.

One of our pages contains just negative number lines, the other page contains both positive and negative numbers.

• Number Lines with Negative and Positive Numbers
• Number Line Negative Numbers only

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Comparing negative numbers

How to compare negative numbers

When you are comparing with negative numbers, everything swaps around and becomes a little more complicated!

With negative numbers, the more negative the number is, the lower its value.

As you go right along the number line, the values are increasing.

As you go left along the number line, the values are decreasing.

This means that any positive number (or even zero) will always be greater than any negative number.

• 0 > -3 this means 0 is greater than -3
• -8 < -5 this means -8 is less than -5
• -27 > -30 this means -27 is greater than -30
• -26 < 2 this means -26 is less than 2
• Ordering Negative Numbers -10 to 10

Randomly Generated Negative Number Worksheets

Our random worksheet generator will create a range of worksheets with values of your choice.

You can create your own unique worksheets complete with answers in seconds!

You can then choose to print or save your sheets for another time.

• Adding Positive and Negative Numbers (randomly generated)
• Subtracting Positive and Negative Numbers (randomly generated)

Adding & Subtracting Negative Numbers

• Adding and Subtracting Negative Numbers (randomly generated)

Multiplying Negative Numbers

• Negative Number Multiplication (randomly generated)
• Dividing Negative Numbers (randomly generated)

Multiplying & Dividing Negative Numbers

• Multiply and Divide Negative Numbers (randomly generated)
• Negative Numbers Games

Take a look at our collection of negative numbers games.

We have a range of games of varying levels of difficulty.

Our games include:

• counting backwards along a number line (easiest)
• comparing and sequencing negative numbers
• subtracting with negative answers
• using all 4 operations to get a negative target number (hardest)

We have a selection of worksheets designed to help students learn about asbolute value.

Topics covered include:

• absolute value and opposite numbers
• comparing absolute values
• absolute value arithmetic
• solving absolute value equations

How to Print or Save these sheets

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These negative numbers worksheets will have your kids working with positive and negative integers in no time! Starting with adding and subtracting negative numbers, and gradully work up to multiplying and dividing negative numbers, multiplying multi-digit negative numbers and long division for negative numbers.

Adding and Subtracting Negative Numbers

36 negative numbers worksheets.

Worksheets for adding negative numbers and subtracting negative numbers.

Multiplying and Dividing Small Negative Numbers

16 negative numbers worksheets.

The worksheets in this section introduce negative numbers integers in multiplication and division math problems. All problems deal with smaller integers that can be solved without multi-digit multiplication or long division.

Multiple-Digit Multiplication with Negative Numbers

If you have mastered basic multiplication with negative integers, these worksheets for multiple digit multiplication will give your negative number skills a more thorough test.

Long Division with Negative Numbers

Ready to keep your signs straight? These long division worksheets have negative divisors and negative quotients (or both!). Some negative division problems include remainders.

Solving Math Problems with Negative Numbers

Negative numbers is a math topic that typically comes into play around 6th grade, and it's introduced as part of the Common Core standard at that grade level.

Negative numbers appear in a variety of situations in applied math. Often you'll see negative numbers directly in measurements, for example measuring altitude above or below sea level, temperature above or below freezing or in financial applications with positive and negative amounts of money. A more frequent, but also more abstract, application of negative numbers is dealing with rates of change. You will also encounter negative values in geometry when graphing in various quadrants on a coordinate plane. And of course, as you make your way into algebra and more advanced geometry, negative numbers play an increasingly important role.

Kids in the late primary grades should be capable of reasoning about negative integers on the number line, and this is usually a good place to start exploring the basic math operations with negative numbers. This is also a good way to start visualizing how the rules for signed numbers work. The two critical ones to learn are that a subtracting a negative number is the same as addition, and that multiplying two negative numbers yields a positive product. Most of the other behaviors of negative numbers with the conventional math operations seem to be straightforward and intuitive, but memorizing those two rules will give your grade schoolers a solid start. For more on the rules for managing signs with negative numbers for the various operations, see the respective worksheet pages for a complete discussion and tips.

The worksheets on this page introduce adding and subtracting negative numbers, as well as multiplying and dividing negative numbers. The initial sets deal with small integers before moving on to multi-digit multiplication and long division with negatives. Regardless of where you're at in your process of learning negative numbers, these worksheets will give your students plenty of practice when they need to master this often negative topic!

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introduction to negative numbers

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Introduction to Integers Digital Math Activity for Google Drive™

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Integers Introduction Sixth Grade Math

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6th Grade Integers 1 - Introduction to Integers Powerpoint Lesson

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Integers Digital Interactive Notebook

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6NSC5 Comparing Positive & Negative Numbers PowerPoint

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TI-30X II S Calculator Practice Worksheets

Introduction to Integers: Interactive Notes and Activity

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Introduction to Adding and Subtracting Positive and Negative Fractions

Also included in:  Calculating with Rationals in Fraction Form Bundle

Pac-Man Positive and Negative Integers: Match, Cut, and Paste Activity

Adding Integers Game ~ Adding Negative Numbers

Negative Exponents (Guided Notes)

6th Grade Math Error Analysis Bundle

Introduction to Positive and Negative Numbers Pear Deck

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Introduction to Functional Relationships: Pre-Algebra

Number System Error Analysis

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6th Grade Math Practice Worksheets (Entire Year)

Integers, Absolute Value, Opposites Intro Notes

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Introduction to Inequalities Printable Stations Activity

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Multiplying Integers Game ~ Multiplying Negative Numbers

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Understanding Positive and Negative Numbers Worksheets

What Is the Difference Between Positive and Negative Numbers? We are all familiar with the plus and minus signs. We use these signs to add values together or find the difference between two values. These same signs can also be used to tell us the nature of a quantity as well. Numbers can broadly have a positive and/or negative presence in a system. Positive numbers have a plus sign and negative numbers have a minus sign with them. If no visible sign appears in front of them, it is assumed to be positive. Let's visualize the difference with the help of a number line. Any number that moves to the right of the number line is considered to be positive. And any number that runs to the left of the number line asserts a negative tone. Let us have a clearer idea of how the number line works. When adding two numbers on a number line, we go to the first addend, and from there we walk all the way to the second addend. Thus, for 5 + (-3) we will start at 5 and go three units to the left-to reach at our result at +2. So as we can see these are simple measures of how far from 0 these values are, in one direction or another.

Aligned Standard: Grade 6 Numbers - 6.NS.C.5

• Dropping Values Step-by-step Lesson - Some kids have trouble with understand the direction of negative values. Numbers lines always seem to help.
• Guided Lesson - Using above and below sea level usually will lead you to long conversations with students.
• Guided Lesson Explanation - I cannot believe that I was able to keep this to one single page.
• Practice Worksheet - You have to love bath tub scuba divers. It seems to be a big trend, just kidding.
• Positive and Negative Sums on a Numbers Line - This is a five page worksheet set complete with numbers lines to explain addition problems.
• Matching Worksheet - Match the temperature to the changes in is value.
• Representing Integers Five Pack of Worksheets - We describe an integer and you make it a tangible, if that makes sense. In a way, you are going to bring these things to life.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

It was very difficult coming up with unique problem types and situations for these.

• Homework 1 - Max buys shares of Enron at $785 on Monday. On Thursday, the stock falls to $464, so he sells his shares. How much did he lose?
• Homework 2 - When the number is negative it means the quantity is decreasing. If the quantity increases that means the value is positive. So if the temperature drops that means the value is decreasing.
• Homework 3 - If the temperature were to drop 38 degrees, which number would display this best?

Practice Worksheets

We break out the number lines here to help make it clear for students.

• Practice 1 - Complete the following operation using the number line. They have a range of + to - 13.
• Practice 2 - We bring in decimals to see if that throws them off.
• Practice 3 - A mix of real world word problems and number lines.

Math Skill Quizzes

I have been petitioning the standards committee to consider a vertical numbers line. I see them online all the time.

• Quiz 1 - Display each value as an integer. These are real situations that you may come in contact with.
• Quiz 2 - 450 feet below sea level. The first problem will stump you.
• Quiz 3 - The stock market falls 66,864 points today. Wow! That is a bad day!

When Will You Be Confronted with Negative Numbers in the Real World?

When students first come across the concept of a negative value, they are quickly confused because it is a little off from where they began their concept about integers. One of the first situations where you have to contemplate the meaning of a negative value is in the realm of temperature. If you are in a country that follows the metric system, you will see it more regularly, especially if you are far away from the equator. Negative values of the Celsius scale of temperature are cold. If you are on in a system that revolves around the Fahrenheit scale, those negative temperature values are overwhelming cold. As we can quickly realize negative values are somewhat relative to the scale you use to quantify it. You will also commonly ponder negative values in situation where you are quantifying financial values. This can be when you are measuring your bank balance or overall income. In most cases that is not a good thing. Vertical elevation is another place that we see this. If we think of sea level as the zero in our scale, it is an easy concept to grasp. There are many games that students play that also have values that can reduce their overall skill. They are often used to assess penalties or faults that they endure. When we are working with students it is often helpful to bring these real world measures to light to help them understand the of overall abstract nature of this concept.

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Negative Number Worksheets

• Determining Value
• Adding & Subtracting
• Multiplying & Dividing
• Absolute Value
• Kindergarten

Negative Numbers Worksheets

In mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites of positive numbers. The laws of arithmetic for negative numbers ensure that the common-sense idea of an opposite is reflected in arithmetic. For example, −(−8) = 8 because the opposite of an opposite is the original value.

We use negative numbers in our daily life .

Deposits are normally represented by a positive sign whereas withdrawals are denoted by a negative sign. Negative numbers are used in weather forecasting to show the temperature of a region. Negative integers are used to show the temperature on Fahrenheit and Celsius scales.

Download Negative Numbers Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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Negative Numbers Worksheet

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

22 February 2018

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Thank you very much

Perfect for revision of all aspects of negative numbers and great to have worded problems too.

janeweiqingyh

great worksheet, very useful! thank you.

Love the mixture of number and worded questions - very useful, thank you!

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