Examples with solutions for The Number Line with Signed Numbers: Identify Numbers on a Number Line

Exercise #1

What number appears at the point marked in red?

AAA000BBB444CCC666DDD101010EEE

Video Solution

Step-by-Step Solution

Let's pay attention to the 0 point on the number line.

The next number is 4, meaning a jump of 4+

The number after that is 6, meaning a jump of 2+

The number after that is 10, meaning a jump of 4+

Therefore, the next jump in the sequence is 2+ and the exercise will be:

10+2=12 10+2=12

Answer

12

Exercise #2

What number appears at the point marked on the axis in red?

AAABBBCCCDDDEEEFFFGGG-64-64-64HHH-32-32-32IIIJJJ-8-8-8KKK-4-4-4LLL-2-2-2

Video Solution

Step-by-Step Solution

Let's pay attention to the numbers on the axis from right to left:

2,4,8,? -2,-4,-8,\text{?}

We'll try to find the common denominator.

Note that if we multiply by 2, we'll get the sequence of numbers:

2×2=4 -2\times2=-4

4×2=8 -4\times2=-8

Therefore, the next operation to find the red point will be:

8×2=16 -8\times2=-16

Answer

16-

Exercise #3

What number appears at the point marked in red?

AAA-3-3-3BBB-1.5-1.5-1.5CCC000DDDEEEFFFGGGHHHIIIJJJKKKLLL

Video Solution

Step-by-Step Solution

Let's pay attention to the numbers on the axis from left to right:

3,1.5,0 -3,-1.5,0

We'll try to find the common denominator.

Let's note that if we use the operation 1.5+, we'll reach the sequence of numbers:

3+1.5=1.5 -3+1.5=-1.5

1.5+1.5=0 -\text{1}.5+1.5=0

Therefore:

0+1.5=1.5 0+1.5=1.5

Answer

1.5

Exercise #4

What number appears at the point marked in red?

-5-5-5333777111111151515

Video Solution

Step-by-Step Solution

Let's pay attention to the numbers on the axis from left to right:

3,7,11,15 3,7,11,15

We'll try to find the common denominator.

Note that if we use the operation +4, we'll reach the sequence of numbers:

3+4=7 3+4=7

7+4=11 7+4=11

11+4=15 11+4=15

Therefore, the red point will be the next exercise:

5+4=1 -5+4=-1

Answer

1-

Exercise #5

What number appears at the point marked in red?

AAA-6-6-6BBB-3-3-3CCC000DDDEEE666FFF999GGG121212HHH151515

Video Solution

Step-by-Step Solution

Let's pay attention to the numbers on the axis from left to right:

6,3,0,?,6,9,12,15 -6,-3,0,?,6,9,12,15

We'll try to find the common denominator.

Note that if we use the operation 3+, we'll reach the sequence of numbers:

6+3=3 -6+3=-3

3+3=0 -3+3=0

6+3=9 6+3=9

9+3=12 9+3=12

12+3=15 12+3=15

Therefore, the question mark will be the following exercise:

0+3=3 0+3=3

Answer

3

Exercise #6

What number appears at the point marked in red?

000222333555666999

Video Solution

Step-by-Step Solution

Let's pay attention to the numbers on the axis from left to right:

0,2,3,5,6 0,2,3,5,6

We'll try to find the common pattern.

Note that the difference between 0 and 2 is 2+

The difference between 2 and 3 is 1+

The difference between 3 and 5 is 2+

The difference between 5 and 6 is 1+

Therefore, the next operation is 2+:

6+2=8 6+2=8

Answer

8

Exercise #7

What number appears at the point marked in red?

909090303030101010

Video Solution

Step-by-Step Solution

Let's pay attention to the numbers on the axis from left to right:

90,30,10 90,30,10

We'll try to find the common denominator.

Note that if we divide 90 by 3, we get 30

If we divide 30 by 3, we get 10

Therefore, if we divide 10 by 3, we'll get:

103 \frac{10}{3}

Answer

103 \frac{10}{3}

Exercise #8

What is the number represented by the red dot on the axis?

-6-6-6-4-4-4-2-2-2000222444

Video Solution

Step-by-Step Solution

Let's pay attention to the 0 point on the number line.

The next number is 2, meaning a jump of 2+

The number after that is 4, meaning another jump of 2+

So we will continue the sequence in the following way until we reach the red point:

4+2=6 4+2=6

6+2=8 6+2=8

8+2=10 8+2=10

Answer

10 10