2 Integer Operations
Add, Subtract, Multiply and Divide with Negative Numbers
You already know where integers fit on a number line, how to compare them, and that absolute value is the distance from zero on the number line. Now you will learn how to add, subtract, multiply, and divide these numbers. The Virginia Standards require students to not only work with numbers, but also with models such as number lines (thinking about walking up and down the line) and 2 color chips (positive and negative to make ‘zero pairs’). We recommend working through the links on this page in the order they appear. This will help to build your understanding of this topic. Each of the videos on this page has a slightly different way of explaining things, so you may find that at first one makes more sense to you than another. By the time you’re done working on this topic, you will hopefully have several different ways of thinking that will help you as you work with integer operations this year.
Part I – Adding and Subtracting on a Number Line
Video #1: Adding Integers using a Number Line
Video #2: Adding Positive and Negative Numbers using a Number Line
Video #3: Subtracting a negative number
Video #4: Subtracting integers using a number line
Practice problems: Draw a number line to solve the problems on this page. Number Line Integer Practice
Partner Game: Integer Sum War - Use the number cards from a standard deck of cards. The black cards represent positive values and the red cards represent negative values. Divide the cards among the players to create a stack of cards (face down) in front of each player. At the same time, each player turns over the top two cards in their hand and adds the values. The player with the greater sum wins all four cards from that round and places them on the bottom of his stack. Play continues until one player runs out of cards.
Partner Game:Integer Addition Four in a Row– In this game, partners try to cover four spaces in a row by moving one paper clip at a time to point to a newnumber. As play continues, players begin to think ahead and consider what number combinations will achieve four in a row and also block an opponent. Directions are included.
Part II – Adding and Subtracting with Positive/Negative Chips
As you watch these videos, you may find it helpful model the problems along with the teachers in the videos. If you would like to do this, you may cut out paper copies of the chips shown here:Red and Yellow Printable Chips.
Video #1: Adding with chips
*Note – at the beginning of this video, the teacher mentions ‘algebra tiles’, but the problems are modeled with red and yellow chips, also referred to as two-color counters.
Video #2: Adding with chips
Video #3: Subtracting with chips
Video #4: Subtracting with chips
Online Practice: Using the online tool, practice solving problems using chips (requires Java)
Online Game: Orbit Integer Game
Practice Problems: Using the same problems from Part I, try using a chip model instead of a number line. Think about which way of thinking seems easier for you. For “chips”, you can use pennies on head/tails, or cut out the paper chips here:Red and Yellow Printable Chips.
Add and Subtract Integers Practice
Partner Game: Roll and Record - In this game, partners take turns rolling a number cube and adding red/yellow chips to their total.
Part III – Multiplying and Dividing Integers
Video #1: Using patterns to think about multiplying integers
Video #2: Multiplying Integers
Video #3: Multiplying Integers
Video #4: Dividing Integers As you watch this video, think about how you can use what you’ve already learned about multiplication to check the answers to a division problem. For example, can also be thought of as .
Online Practice #1:Array models for integers (requires Java)
This website uses numbers along a horizontal number line as well as a vertical number line to create arrays to represent multiplication with integers. Students can drag the sliders to see arrays that represent various multiplication problems. Since this model uses two number lines, it is similar to a coordinate plane. If you’d like to learn more about a coordinate plane, you may choose to clickhere.
Online Practice #2: Multiplying and Dividing Integers
Online practice #3: Multiplying and Dividing Integers
Online Game #1: Integer Warp
Online Game #2: Integer Jeopardy – When you open the page, click the words “this game”.
Partner Game: Integer Multiplication Four in a Row– Like the integer addition game, partners move paper clips to create various products and try to cover four squares in a row.
Prince William County Schools