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

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

$-3,-1.5,0$

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:

$-3+1.5=-1.5$

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

Therefore:

$0+1.5=1.5$

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:

$3,7,11,15$

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:

$0,2,3,5,6$

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 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:

$-8\times2=-16$

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:

$4+2=6$

$6+2=8$

$8+2=10$

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 left to right:

$90,30,10$

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:

$\frac{10}{3}$