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инфоурок

школа

видеоуроки

6 класс

математика

00:00:00

coordinates on a line,

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consider some straight line a.b. Let

00:00:07

's put a point o on it that

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splits this line into two

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additional lines

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a.a. and we both choose a unit segment,

00:00:18

that is, a segment of length 1, and accept .

00:00:23

for the reference point, then the position of the point

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on each of the rays

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is given by its coordinate, in order to distinguish the

00:00:31

coordinates on these rays from each other,

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we agreed to put a

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+ sign in front of the coordinates on one ear and a minus sign in front of the coordinates on the

00:00:40

other rays, that is, to the right of the

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point with coordinate 0 there are

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positive numbers with pluses

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+ 1 + 2 + 3 + 4 and the length of each

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segment, that is, from 0 to plus one from plus one

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to plus 2ad plus 2 to plus

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3, the length of each of this segment is the same

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and

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this segment is called a unit

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segment

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to the left of zero go to the point with coordinates

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minus is exactly the same from zero to the right + 1 from

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0 to the left

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-1 so you can see that . and

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has a coordinate of minus 4 numbers with a

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plus sign are called positive, write

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them like this plus 1 plus 2 plus two

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thirds, for example, plus two whole one

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fourth, mark these points on the

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coordinate line, for example. plus one

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we see that here the length of a single segment is

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already greater than it was above,

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that is, we choose the length of a single segment

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ourselves as it is

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convenient for us. plus 2 will accordingly

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stand twice as far from the point with

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coordinate 0

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as . plus 1.

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plus two-thirds between zero and one,

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that is, if a unit segment from zero

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to one is divided into three parts and take

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two of them,

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then you get plus two-thirds plus 3

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whole 1 4 is more than 2

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but less than 3, that is, somewhere here

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shining. plus 3

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if we divide the unit segment ad + 2 to plus

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3 into 4 equal parts and take

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one of them this will be .

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plus two whole one fourth now

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we mark on the coordinate line the

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same points but with a minus sign minus 1

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minus 2 3 minus 2 and minus two whole one

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4 numbers with a minus sign are

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called negative, they are written like

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this minus 1 minus 2 minus two

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thirds minus two whole ones one-fourth,

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for brevity, they

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usually omit the + sign before

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positive numbers and instead of

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plus 7, write simply 7 instead of

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plus two integers one-fourth just two

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integers one-fourth and so on, this is the

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same thing, only the

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origin or origin of

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coordinates is designated differently, that is.

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it depicts 0, the number itself 0 is

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neither positive nor negative, it

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separates positive numbers from

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negative ones, that is, to the right of zero

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there are positive numbers to the left of zero

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negative numbers in the word

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straight lines can be in different

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positions in our case the straight line

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is in a horizontal position and in

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this case it is usually on the right from 0

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denotes positive numbers and to the left

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of zero negative numbers,

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in general, a coordinate line can be

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drawn in a vertical position as

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we are used to seeing on a thermometer, that

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is, above zero there are positive

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numbers, below zero there are

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negative numbers, and so on a straight line with the

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unit segment and directions chosen as the starting point on it

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called a coordinate line, a number

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showing the position of a point on a line

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is called the coordinate of this point, for example

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. and in this figure they have a coordinate of

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-1, it

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is written like this and in brackets

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minus 1. o has coordinate 0 point c

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coordinate 1 and . b coordinate two point

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one fourth

00:05:14

and now questions with which you

00:05:18

can test your knowledge

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