Add + 7 and – 4. On the number line.
Answers
Step-by-step explanation:
Steps on How to Add Numbers on the Number Line
As indicated in the diagram below:
To add a positive number means that we move the point to the right of the number line.
Similarly, to add a negative number implies that we move the point to the left of the number line.
here is a diagram of a number with zero at the center, integers 1 to 7 on the right side, and integers -1 to -7 on the left side. there are notes under the number line that to add a positive number, you move some units to the right of the number line while to add a negative number means you move some units to the left of the number line.
Examples of Adding Numbers on the Number Line
Example 1: Simplify by adding the numbers, 2 + 4.
The first step is to locate the first number which is two (2) on the number line.
the number two or 2 is represented as a dot on a number line
Adding four (4) means we have to move the point, four (4) units to the right.
the original number two is moved 4 units to the right of the number line to indicate addition
After doing so, we end up at 6. Therefore, 2+4=6.
Example 2: Simplify by adding the numbers, 3 + (–5).
Locate the first point, 3, on the number line.
the number three or 3 is represented as a dot on the number line. since +3 is positive, it is positioned at 3 units to the right of the center which is zero.
Now, we are going to add negative five (-5) which tells us to move the point 5 units going to the left.
the original positive 3 is moved 5 units to the left ending at negative two or -2 on the number line. this means that 5 is subtracted from positive three or +3. observe that when adding negative numbers, you move the number to the left.
We arrive at −2. That’s why 3 + (–5)=–2.
Example 3: Simplify by adding the numbers, –6 + 5.
Find where the first number, −6, is on the number line. To add five (5), the original point will be moved five (5) units to the right of the number line.
the original number six or -6 is added by 5 units. it means that -6 will move 5 units to the right of the number line which ends at number negative one or -1.
This gives us –6 + 5 = –1.
Example 4: Simplify by adding the numbers, –1 + (–6).
This time around, we are adding two negative numbers. To start, locate the first number which is −1. Then, add negative 6 to it which means moving the existing point 6 units to the left of the number line.
-1 is relocated 6 units to the left of the number line which ends at -7
Therefore, we have –1 + (–6) = –7.