**Adding on a number line worksheet :**

Worksheet adding on a number line is much useful to the students who would like to practice problems on addition of two numbers with the same sign.

1. Add "3" and "2" using a number line.

2. Add "3" and "-2" using a number line.

3. The temperature was 2°F below zero.The temperature drops by 5°F. What is the temperature now ?

4. Suppose the temperature is -1 °F and drops by 3 °F. Explain how to use the number line to find the new temperature.

5. How would using a number line to find the sum 2 + 5 be different from using a number line to find the sum -2 + (-5) ?

6. What are two other negative integers that have the same sum as - 2 and - 5 ?

**Question 1 : **

Add "3" and "2" using a number line.

**Answer : **

Here, the integers "3" and "2" are having the same sign. That is positive.

To find the sum of integers 3 and 2, we have to start at 3

Since the second number "2" is positive, we have to move 2 units in the positive direction as given in the picture below.

After having move 2 units in the positive direction, we are in the position of "5"

Hence, 3 + 2 = 5

**Question 2 : **

Add "3" and "-2" using a number line.

**Answer : **

Here, the integers "3" and "-2" are having different signs.

To find the sum of integers 3 and -2, we have to start at 3

Since the second number "-2" is negative, we have to move 2 units in the negative direction as given in the picture below.

After having move 2 units in the negative direction, we are in the position of "1"

Hence, 3 + (-2) = 1

**Question 3 : **

The temperature was 2°F below zero. The temperature drops by 5°F. What is the temperature now ?

**Answer : **

**Step 1 : **

According to the question, the initial temperature was 2°F below zero. 2 below zero is "-2".

So, the initial temperature is -2°F

**Step 2 : **

Let us mark the initial temperature on the number line.

**Step 3 : **

A drop in temperature of 5° is like adding -5° to the temperature.

Since the temperature is dropping, we have to go below the initial temperature. The temperature drops by 5°. So, we have to count 5 units on the number line below -2 to find the final temperature.

That is "-7".

Mark the temperature now on the number line.

**Step 4 : **

From the above figure, the final temperature is -7°.

**Justify and Evaluate :**

In the above example, we have just added -2 and -5.

From the above example problem, it is clear that when we add two negative numbers, we have to add them as usual and take negative sign to the result.

**Question 4 : **

Suppose the temperature is -1 °F and drops by 3 °F. Explain how to use the number line to find the new temperature.

**Answer : **

Start at -1. Move 3 units in a negative direction to -4; the new temperature is -4 °F.

**Question 5 :**

How would using a number line to find the sum 2 + 5 be different from using a number line to find the sum -2 + (-5) ?

**Answer : **

Instead of starting at 2 and moving 5 units in a positive direction to get 7, you would start at -2, move 5 units in a negative direction, and get -7.

**Question 6 : **

What are two other negative integers that have the same sum as - 2 and - 5 ?

**Answer :**

Sample answer: - 3 and - 4

After having gone through the stuff given above, we hope that the students would have understood "Adding on a number line worksheet".

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