LOCATING NUMBERS ON A NUMBER LINE WORKSHEET 

1. Locate the numbers 3 and 6 on a number line and compare them.

2. Locate the numbers 6 and 9 on a number line and compare them.

3. Locate the numbers 12, 5, 9, 6, 1, 3 on a number line and order them from least to greatest.

4. In 2010, Sacramento, California, received 23 inches in annual precipitation. In 2011, the city received 17 inches in annual precipitation. In which year was there more precipitation ?

5. John recorded the following golf scores during his first week at a golf academy. In golf, a lower score beats a higher score.

6.  Draw a number line to show 

a)   {-5, -2.5, -0.5, 0, 1.5, 3}

b)  {-4, -5/2, -1  1/2, 1, 2, 2  3/4}

7.  

a)  What are the opposites of -3 and 7?

b) Explain why 3 > -4 is a true statement.

c) Increase -3 by 7.

8. Write the positive and negative numbers for the position of each object. The reference position is water level.

9.

10. Write positive and neagtive numbers for the position of each object. Use the bottom of each object to make your measurements.

a) lift

b) car

c) People

d) rubbish skip

11. With zero as a reference position, right is positive and left is negative. Write the numbers for the positions of A, B, C, D and E.

1. Answer :

Let us locate the two numbers 3 and 6 on a number line and mark them.

Here, 6 comes to the right of 3.

Therefore 6 is greater than 3.

And 3 comes to the left of 6.

Therefore 3 is smaller than 6.

2. Answer :

Let us locate the two whole numbers 6 and 9 on a number line and mark them.

Here, 9 comes to the right of 6.

Therefore 9 is greater than 6.

And 6 comes to the left of 9.

Therefore 6 is smaller than 9.

3. Answer :

Let us locate the numbers 12, 5, 9, 6, 1, 3 on a number line and mark them.

From the above number line, write the numbers from left to right to list them in order from least to greatest.

Thus, we get

1, 3, 5, 6, 9, 12

4. Answer :

Locate the two numbers 23 and 17 on a number line and mark them.

23 is to the right of 17 on the number line.

This means that 23 is greater than 17.

We can write the above situation in terms of inequality as 23 > 17.

17 is to the left of 23 on the number line.

This means that 17 is less than 23.

We can write the above situation in terms of inequality as 17 < 23.

There was more precipitation in 2010.

5. Answer :

Graph John’s scores on the number line, and then list the numbers in order from least to greatest.

Step 1 :

Graph the scores on the number line.

Step 2 :

Read from left to right to list the scores in order from least to greatest.

The scores listed from least to greatest are

0, 1, 3, 5, 6, 9, 12

6. Answer :

a)   {-5, -2.5, -0.5, 0, 1.5, 3}

Arranging the numbers from least to greatest,

-5, -2.5, -0.5, 0, 1.5, 3

We have 3 negative values and 2 positive values. Placing the negative values to the left of 0 and placing the positive to the right of 0.

b)   {-4, -5/2, -1  1/2, 1, 2, 2  3/4}

5/2 = 2.5

2  3/4 = 2.75

-1  1/2 = -1.5

Arranging the given numbers from least to greatest,

-4, -2.5, -1.5, 1, 2, 2.75

7. Answer :

a)  What are the opposites of -3 and 7?

The opposite of -3 is 3 and the opposite of 7 is -7.

b) Explain why 3 > -4 is a true statement.

3 is greater than -4, because 3 will be located to the right of -4. So, it must be greater.

c) Increase -3 by 7.

To increase -3 by 7, we have to move 7 units to the right in the number line from -3.

-3 + 7 = 4

8. Answer :

Positions above the water levels are marked with positive numbers.

• The bird is at +3
• The boat is with the water level. So, it is at 0

Positions below the water levels are marked with negative numbers.

• The diver is at -1.
• The shark is at -3

9. Answer :

Positions above the water levels are marked with positive numbers.

• The top of the cliff is at +4.
• The top of periscope is at +1.
• The boat is with the water level. So, it is at 0

Positions below the water levels are marked with negative numbers.

• The submarine is at -2.

10. Answer :

a) lift is at +1

b) car is at -3

c) People is at -2.

d) rubbish skip is at -5.

11. Answer :

• D is at -5
• B is at -3
• E is at -1
• A is at 2
• C is at 6

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