As we all know, the meaning of | 4 | = | 4-0 |, on the number axis, is the distance between the point of 4 and the origin (that is, the origin of 0). For another example, the meaning of formula | 8-3 |, on the number axis, is the distance between the point of 8 and the point of 3. Similarly, the meaning of formula | a + 5 | on the number axis is________ . If the answer is "the distance between a point and 5 or - 5", please explain the reason in detail!

As we all know, the meaning of | 4 | = | 4-0 |, on the number axis, is the distance between the point of 4 and the origin (that is, the origin of 0). For another example, the meaning of formula | 8-3 |, on the number axis, is the distance between the point of 8 and the point of 3. Similarly, the meaning of formula | a + 5 | on the number axis is________ . If the answer is "the distance between a point and 5 or - 5", please explain the reason in detail!

It can be seen as | a - (- 5)|
So it's obvious that a is a-5

What is the distance between the point a of 2.5 and the origin? What is the distance between the point B of - 2.5 and the origin? What is the distance between the two points of A.B
Urgent! I'll answer today

2.5；2.5；5

1. The point on the number axis whose distance from the origin is equal to 5 represents the number ()
2. The distance between - 3.5 and 4.5 is ()
3. On the number axis, the number with a distance of 3 from the point representing - 2 is ()
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1. The point on the number axis whose distance from the origin is equal to 5 represents the number (- 5,5)
2. The distance between rational number - 3.5 and 4.5 on the number axis is (8)
3. On the number axis, the number with a distance of 3 from the point representing - 2 is (- 5,1)

It is known that the numbers corresponding to two points AB on the number axis are - 1 and 3 respectively. Point P is a moving point on the number axis, and its corresponding number is X
If point a and point B move to the right with two unit lengths and one unit length per minute respectively, and a dog runs back and forth between two points AB, what is the running distance for a to catch up with the dog at point B?

Set the time to t
2t-t=4
t=4
Multiply the dog's speed by 4 to get the distance the dog runs
The problem is less than the speed of the dog

The numbers corresponding to two points AB on the given number axis are - 1 and 3 respectively
(1) If the distances from point P to point a and point B are equal, find the corresponding number of point P
(2) Is there a point P on the number axis, so that the sum of the distances from point P to point a and point B is 5? If there is, the value of X is requested; if not, please explain the reason
(3) When point P moves to the left from point o at a speed of 1 unit per minute, point a moves to the left at a speed of 5 units per minute, and point B moves to the left at a speed of 20 units per minute. Ask them to start at the same time. In a few minutes, are the distances from point P to point a and point B equal?

1) 1
2) -1.5；3.5
3）5x+4=20x,x=4/15；5y+1-y=y+3-20y,y=2/23

If P starts from point B and moves to the left on line AB, M is the midpoint of AP,
N is the midpoint of Pb, whether the length of segment Mn changes, explain the reason

Let AP = x, then Pb = 4-x (4 is the segment length of AB)
∵ m is the midpoint of AP and N is the midpoint of BP
∴MP=1/2AP=1/2X,NP=1/2BP=2-1/2X
∴MN=MP+NP=1/2X+2-1/2X=2
Therefore, the length of Mn is constant 2 and does not change

It is known that there are three points a, B and C on the number axis, and their corresponding numbers are - 4, 2 and m (m) respectively

(1) AB = 2 - (- 4) = 6, (2), let the corresponding number of d be a, then a - (- 4) = 2-A, so a = - 1,
That is to say, the number represented by point D in line AB is - 1

It is known that the numbers represented by a and B on the number axis are m and N respectively. (1) according to the number axis, fill in the following table: m 3 - 3 - 3 2 - 1.5 N 101 - 1 - 3 - 1.5 the distance between a and B is 2342250 (2) if the distance between a and B is D, what is the quantitative relationship between D and m and N? (3) if the number represented by a and B on the number axis is known to be x and - 1, then the distance d between a and B can be expressed as D: | x + 1 |. If d = 3, find X

(1) D = | M-N |, the literal description is: the distance between two points on the number axis D is equal to the absolute value of the difference between the two points; (2) according to the meaning of the question: | x + 1 | = 3, we can get x + 1 = 3 or X + 1 = - 3, the solution is: x = 2 or - 4

It is known that the corresponding numbers of AB on the number axis are expressed by AB, and the absolute value of (1 / 2Ab + 100) ^ 2 + A-20 = 0 P is the moving point
(1) Mark the position of AB on the number axis and find out the distance between ab;
(2) A point C on the number axis is 25 Units long from point a, and its corresponding number satisfies the absolute value of AC = - AC. when point P satisfies Pb = 2pc, P is obtained
(3) Starting from the origin, the moving point P moves one unit length to the left for the first time, three units to the right for the second time, and five units to the left for the third time. Can point P move to the position where AB coincides? If so, find the result. If not, explain the reason

(1) Because (1 / 2Ab + 100) ^ 2 + | A-20 | = 0, we can know that: | A-20 | = 0, a = ± 20 (1 / 2Ab + 100) ^ 2 = 0, ab = - 200 when a = 20, B = - 10 when a = - 20, B = 10 | ab | = 30 (2) by | AC | = - AC, we can know that a = 0 ((1 / 2) AB + 100) ^ 2 > = 0A = 20b = 10, first move left 1 unit length, second move right 3

Points a and B are the corresponding points of negative 3 and negative half on the number axis respectively, so that line AB moves to the right along the number axis to a'B ', and the corresponding number of the midpoint of line a'B' is 3
Then the number corresponding to point a 'is? The distance that point a moves is?

The original midpoint of AB is (- 7 / 4,0)
The number corresponding to the midpoint of line segment a'B 'is 3
So the distance to the right is 19 / 4
So a 'is (7 / 4,0), and it moves 19 / 4