Question

1. Add the following numbers using the number line
(1) (+6) + (+2) ?​

Answer 1

Answer:

Step-by-step explanation:

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.

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