The Number Line with Signed Numbers: Identify Numbers on a Number Line

First we need to consider the numbers on the number line from left to right:

$-3,-1.5,0$

Then, we'll try to find the common denominator.

If we use the add 1.5 each time, it will give us the correct sequence numbers:

$-3+1.5=-1.5$

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

Therefore:

$0+1.5=1.5$

First let's look at the numbers on the axis from left to right:

$90,30,10$

Now we can try to find the common denominator.

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

If we divide 30 by 3, then we get 10.

Therefore, if we divide 10 by 3, then we will get our answer:

$\frac{10}{3}$

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

$3,7,11,15$

We'll try to find the common denominator.

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

$3+4=7$

$7+4=11$

$11+4=15$

Therefore, the red point will be the next exercise:

$-5+4=-1$

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

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

We'll try to find the common denominator.

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

$-6+3=-3$

$-3+3=0$

$6+3=9$

$9+3=12$

$12+3=15$

Therefore, the question mark will be the following exercise:

$0+3=3$

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

$0,2,3,5,6$

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+:

$6+2=8$

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:

$10+2=12$

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

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

We'll try to find the common denominator.

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

$-2\times2=-4$

$-4\times2=-8$

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

$-8\times2=-16$

First we need to look at the 0 point on the number line.

The next number is 2, meaning that there is an increment of 2.

The number after that is 4, representing another increment of 2.

Therefore, we can continue the sequence in the following way until we reach the red point to find the answer:

$4+2=6$

$6+2=8$

$8+2=10$