Examples with solutions for The Number Line with Signed Numbers: Complete the missing numbers

Exercise #1

What are the missing numbers?

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

Video Solution

Step-by-Step Solution

Let's look at the numbers from left to right:

6,4,2 -6,-4,-2

We notice that the common operation is:

+2 +2

6+2=4 -6+2=-4

4+2=2 -4+2=-2

Therefore, the next sequence will be:

2+2=0 -2+2=0

0+2=2 0+2=2

Answer

0,2

Exercise #2

Fill in the missing number

000111

Video Solution

Step-by-Step Solution

Let's begin by looking at the numbers from left to right:

0,12,1,112 0,\frac{1}{2},1,1\frac{1}{2}

We are able to deduce that the common operation is:

+12 +\frac{1}{2}

0+12=12 0+\frac{1}{2}=\frac{1}{2}

12+12=1 \frac{1}{2}+\frac{1}{2}=1

1+12=112 1+\frac{1}{2}=1\frac{1}{2}

Therefore, the next sequence will be:

112+12=2 1\frac{1}{2}+\frac{1}{2}=2

2+12=212 2+\frac{1}{2}=2\frac{1}{2}

212+12=3 2\frac{1}{2}+\frac{1}{2}=3

Answer

2,212,3 2,2\frac{1}{2},3

Exercise #3

Fill in the missing numbers

-3-3-3333999151515

Video Solution

Step-by-Step Solution

Let's look at the numbers from left to right:

3,3,9,15 -3,3,9,15

We notice that the common operation is:

+6 +6

3+6=3 -3+6=3

3+6=9 3+6=9

9+6=15 9+6=15

Therefore, the next sequence will be:

15+6=21 15+6=21

21+6=27 21+6=27

Answer

27, 21

Exercise #4

Fill in the missing number

000222444666888101010

Video Solution

Step-by-Step Solution

Let's look at the numbers from left to right:

0,2,4,6,8 0,2,4,6,8

We notice that the common operation is +2:

0+2=2 0+2=2

2+2=4 2+2=4

4+2=6 4+2=6

6+2=8 6+2=8

8+2=10 8+2=10

Therefore, the next sequence will be:

10+2=12 10+2=12

12+2=14 12+2=14

14+2=16 14+2=16

16+2=18 16+2=18

Answer

18, 16, 14, 12