| ?? ?????? ???????
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|
????????? ??????
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]
???? ??????? ?? ?????????? ??????? ??????? ??? ??-? ????????? ??????? ???? ????? ????? ??????? ?????? ??????? ????? ??????? ???? ??????, ?????? ?????? ???? ??????? ?????? ??????? ? (?????) ?? ???? ????? ?????? ??? ???? ??? ????? ????
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![{\displaystyle 0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2aae8864a3c1fec9585261791a809ddec1489950) |
|
![{\displaystyle 1}](https://wikimedia.org/api/rest_v1/media/math/render/svg/92d98b82a3778f043108d4e20960a9193df57cbf) |
|
![{\displaystyle 2}](https://wikimedia.org/api/rest_v1/media/math/render/svg/901fc910c19990d0dbaaefe4726ceb1a4e217a0f) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png)
|
![{\displaystyle 3}](https://wikimedia.org/api/rest_v1/media/math/render/svg/991e33c6e207b12546f15bdfee8b5726eafbbb2f) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png) ![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png)
|
![{\displaystyle 4}](https://wikimedia.org/api/rest_v1/media/math/render/svg/295b4bf1de7cd3500e740e0f4f0635db22d87b42) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png) ![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png) ![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png)
|
![{\displaystyle 5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/29483407999b8763f0ea335cf715a6a5e809f44b) |
|
![{\displaystyle 6}](https://wikimedia.org/api/rest_v1/media/math/render/svg/39d81124420a058a7474dfeda48228fb6ee1e253) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/CountingSquareOrangeFive.svg/75px-CountingSquareOrangeFive.svg.png)
|
![{\displaystyle 7}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ee716ec61382a6b795092c0edd859d12e64cbba8) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/CountingSquareOrangeFive.svg/75px-CountingSquareOrangeFive.svg.png) ![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png)
|
![{\displaystyle 8}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1aaa997e6ad67716cfaa9a02c4df860bf60a95b5) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/CountingSquareOrangeFive.svg/75px-CountingSquareOrangeFive.svg.png) ![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png) ![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/15px-CountingSquareOrange.svg.png)
|
![{\displaystyle 9}](https://wikimedia.org/api/rest_v1/media/math/render/svg/32d3d1e1f9dfe0254c628379e69a69711fe4eabd) |
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|
![{\displaystyle 10}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4ec811eb07dcac7ea67b413c5665390a1671ecb0) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/CountingSquareOrangeFive.svg/75px-CountingSquareOrangeFive.svg.png)
|
![{\displaystyle 20}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a54c80a7183ec4efa84bba969ef7894f5d78e70c) |
![](//upload.wikimedia.org/wikipedia/commons/thumb/3/35/CountingSquareOrangeTen.svg/75px-CountingSquareOrangeTen.svg.png)
|
![{\displaystyle 100}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0572cd017c6d7936a12737c9d614a2f801f94a36) |
|
Numerals and Place Amounts
[
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]
A number is one or more signs that are called
numerals
(like a word is one or more signs that are called letters). There are ten numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) that can make most numbers. Each numeral has a place in a number and shows a different amount when it is in a different place. The
place amount
is the amount a numeral shows in a place.
The first place (going from right to left) has a place amount of one, and it is the Ones Place. A numeral in the Ones Place shows the normal amount. The next place has a place amount of ten, and it is the Tens Place. Numerals in the Tens Place show how many groups of ten. The next place is the Hundred Place because one hundred is ten groups of ten. The next place is the Thousand Place because one thousand is ten groups of one hundred. A place amount is a group of ten of the place amount one place to the right.
The places in a number
7
|
7 ones
|
9
![{\displaystyle 7}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ee716ec61382a6b795092c0edd859d12e64cbba8) |
9 tens
|
8
![{\displaystyle 97}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5424b3c5933c8f3b2f87d44c950a2a4d74b51e91) |
8 hundred
|
2
![{\displaystyle 897}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3b344ac7837d6d1a3a36aa93e224288550778d62) |
2 thousand
|
6
![{\displaystyle 2897}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5f38c37c8b287e5b8240ecfe8292632a0ae05ec5) |
6 ten thousand
|
4
![{\displaystyle 62897}](https://wikimedia.org/api/rest_v1/media/math/render/svg/37d5561e8ea5f569cb9b739281cc90514750399c) |
4 hundred thousand
|
3
![{\displaystyle 462897}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1d1f09e692540ef1aaf5f1000c112823bc5d85ea) |
3 million
|
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???? ????? ???? ?????? ????? ??????? ????? ????, ?? ?? ???? ?? ?????? ??? ??????? ??? ??????? ???? ?????? ????? ????? ???????
????
????? ????? ???? ???? ????: "
=
"? ???? ????? ???????
????
?????? ??? ??????? ????? ???? ?????? ????:
![{\displaystyle 5=5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e21c2dc7499b3897681e124151dffd65759e95a0)
![](//upload.wikimedia.org/wikipedia/commons/thumb/3/35/CountingSquareOrangeTen.svg/125px-CountingSquareOrangeTen.svg.png)
![{\displaystyle 3462897=3462897}](https://wikimedia.org/api/rest_v1/media/math/render/svg/aa1989abe923ea9e6a4435860d944f4ad019a0e6)
The
more than
sign is a bent line like this: "
>
". Use it to show that an amount on the left of the sign is
more
than an amount on the right. These are some examples:
![{\displaystyle 10>5}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7d2dd802b2abc82a0500c719e91a2723589118e8)
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/CountingSquareOrangeFive.svg/125px-CountingSquareOrangeFive.svg.png)
![{\displaystyle 485>394}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a5cbb950d29259c4b07c7bb54b59eb9b5bce20fa)
The
less than
sign is a bent line like this: "
<
". Use it to show that an amount on the left of the sign is
less
than an amount on the right. These are some examples:
![{\displaystyle 2<3}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e2f256513a12038d72a7b01ae188cf6f0fa0f7d8)
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/25px-CountingSquareOrange.svg.png)
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/25px-CountingSquareOrange.svg.png)
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/25px-CountingSquareOrange.svg.png)
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/CountingSquareOrange.svg/25px-CountingSquareOrange.svg.png)
![{\displaystyle 3887<3902}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cf31510c6855961fea3358b953ebf8ac2ef13215)
These are some signs people use less often:
- The
not equal
sign is this: "
≠
". Use it between two amounts that are
not
the
same
. An alternative is "
!=
".
- The
more or equal
sign is this: "
≥
". Use it to show that an amount on the left of the sign is
more
than or the
same
as an amount on the right. An alternative is "
>=
".
- The
less or equal
sign is this: "
≤
". Use it to show that an amount on the left of the sign is
less
than or the
same
as an amount on the right. An alternative is "
=<
".