Using a Number Line to Add Integers

To add integers using a number line, we can visualize the process by representing each integer as a point on the number line. This helps us understand the concept of adding positive and negative numbers and determine the sum accurately. Let's go through the steps of adding integers using a number line.

Step 1: Draw a Number Line
First, draw a number line on a piece of paper or use a ruler. Label the line with positive and negative numbers, ensuring there is enough space for the integers you want to add.

Step 2: Locate the First Integer
Next, locate the first integer on the number line. If the integer is positive, move to the right on the number line, marking the point. If the integer is negative, move to the left, marking the point.

Step 3: Locate the Second Integer
Then, locate the second integer on the number line using the same process as in step 2. Move to the right if it is positive and to the left if it is negative, marking the point.

Step 4: Determine the Sum
After marking both points on the number line, find the distance between them. The distance can be determined by counting the number of units or steps between the two points. If the second integer is positive, move to the right from the first point. If the second integer is negative, move to the left from the first point.

Step 5: Write the Sum
Finally, write the sum of the two integers. If the second integer is positive, add its absolute value to the first integer. If the second integer is negative, subtract its absolute value from the first integer.

Example:
Let's add 3 and -5 using a number line.

Step 1: Draw a number line.

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Step 2: Locate the first integer.

Start at 0 and move 3 steps to the right, marking the point 3.

Step 3: Locate the second integer.

Start at 3 and move 5 steps to the left, marking the point -2.

Step 4: Determine the sum.

Count the distance between the two points. It is 5 units.

Step 5: Write the sum.

Since the second integer is negative, subtract its absolute value from the first integer. 3 - 5 = -2.

So, the sum of 3 and -5 is -2.