Signs more, less or smooth in mathematics

Mathematical signs

Most likely, the child is already distinguished by the child and visually that a handful of ten berries is more than three pieces. To implement new designations, let's look at the signs of "more", "less", "equal" in pictures.

Symbol more (>) - This is when the sharp nose tick looks right. It must be used when the first number is greater than the second: 6 (=,>, <) 9

Symbol less (<) - This is when the sharp nose checkboxes look left. It must be used when the first number is less than the second: 1 (=,>, <) 3

Equality symbol (=) - This is when two short segments are written horizontally and parallel to each other. We use it when comparing two identical numbers: 2 (=,>, <) 2

To make it easier for the child to remember the signs similar among themselves, you can apply the game method. To do this, you need to compare the numbers and determine in what order they cost. Next, we put one point in the smallest number and two - next to the greatest. We connect the points and get the desired sign. That's so simple: 3 (=,>, <) 3

Equality and inequality

What equality In mathematics - this is when one like the number of different and between them you can put a sign =.

For example, let's look at the image with the image of geometric shapes. On the right and left the same one, it means that you can put the "equal" symbol. Correct answer:

Inequality - Algebraic expression, which uses signs ≠, <,>, ≤, ≥.

The visual example of inequality is shown in the picture below. On the left we see three figures, and on the right - four. At the same time, we know that three is not equal to four or as so: three less than four. Equality: 2 = 2, 3 = 3

The lesson in the school often passes before the textbook, notebook and board. At home, you can use a computer and some tasks to perform in an online format. How to find signs on the keyboard? Reply in the picture: Inequalities: 6 <9, 1 <3

Types of inequalities

  1. Strict inequalities - use only a sign more (>) or less (<).
  • A <B is that A is less than b.
  • A> B - this means that A is more than b.
  • Inequalities A> B and B <A mean the same thing, that is, are equivalent.
  1. Fine inequality - use comparison signs ≥ (greater than or equal) or ≤ (less or equal).
  • A ≤ B is that A is less than either equal to b.
  • A ≥ B is that A is more or equal to b.
  • Signs ⩽ and ⩾ are opposite.
  1. Other types of inequalities.
  • A ≠ B - means that A is not equal to b.
  • A "B means that a lot more than b.
  • A "B means that a much less than b.
  • Signs >> and << are opposite.

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In a simple example, we will analyze what "equality" and "inequality". For example, take tasks from the textbook on mathematics.

The symbol is greater

Equality

Where equality, we see "4 = 4". Here everything is correct, it means that equality. The second example is presented otherwise: on the left we see "5", and to the right of the sign "4 + 1".

If folded 4 and 1, then it will turn out 5, and the left is worth 5. The left and right part of the example is equal, which means it will also be equality.

Inequalities

In the example of the textbook, we see that on the one hand the example is "4", and on the other "3". 4 and 3 are not equal, which means it is called "inequality". In our case, between 4 and 3, it is necessary to put the sign of inequality ">" - "4> 3".

The second example in the column of "inequality" is slightly complicated. To the right of the sign here is the expression "4-1", and the left is simply "4". If you take up 1 from 4, then it turns out 3. 3 less than 4, which means it will also be inequality, which is indicated by the sign.

How not to get confused in the sign of inequality

In order not to get confused in which direction to put the sign of inequality, you can imagine the beak of the bird. "Beak" should look towards the number that is less. Simply put, more as if "pecks" smaller.

The second way is to use points. About a larger number is set up vertically two points, and about smaller - one in the middle. Then simply connect the points obtained and get the sign of inequality.

We solve the task

The symbol is greater

Exercise 1

Let's figure out several tasks based on what we learned:

The correct answers will be the following:

4> 3 3 <4 5> 2 3 <5 1 + 2 = 3 5-3 = 2

Task 2.

Now let's try to find incorrect inequalities:

The correct answers will be such:

4 + 1 = 5 - right

3-1 <1 - incorrectly

4 <2 - incorrectly, will correctly be 4> 2

3> 4 - incorrect, will correctly be 3 <4

5-1 = 3 - incorrectly, will correctly 5-1 = 4

2 + 1 = 3 - right

Task 3.

Here we are given cards on which you need to put the correct sign.

The following expressions are obtained:

3 + 1 = 4

5-1 = 4.

4> 3.

2 <4.

5> 1.

3> 2.

1 <4.

5> 3.

Task 4.

The last task is practical and the most interesting.

We need to answer questions from any of the guys more coins, and who has more money amount.

To begin with, we will understand with the number of coins: Misha has 1 coin, and Kolya 2, it means more coins. We write it as inequality: 1 <2.

Now we will define any of the guys more money. Misha has only one coin in more advantage of 5 rubles. Everything is simple here.

But if there are two coins in 1 and 2 rubles. Calculate how much money Kseli: 1 + 2 = 3. It turns out that if 3 rubles it turns out.

Now we know that Misha has 5 rubles, and by Kolya 3 rubles. So Misha has more money than Kolya. We write it as inequality: 5> 2 + 1.

What do the concepts of "equality" and "inequality" in mathematics mean?

Give examples.

Ninaarc. [360K]

3 years ago

The record in which the "equal" sign is used (=), which is worth between mathematical objects, is called "equality" . Such a sign can produce two numbers, several numbers or expressions. The right and left part of the expressions facing and after the sign "=" always have the same meaning.

Examples:

5 ∙ 4 = 20;

3 + 6 = 9;

21: 7 = 3.

There are cases when expressions have completely different meanings, in this case the sign "equally" between them is not put. There is a special sign that can be noted that expressions differ in each other: "≠" .

Examples:

15 ≠ 20 - 2;

14 ≠ 6 + 4;

2 ∙ 5 ≠ 12.

Inequality - this is a concept that is associated with comparing two mathematical objects, but they are compiled using signs "≠" , ">" (more) and "<" (less). Typically, the values ​​of the right and to the left of these characters have different numeric values.

Examples:

8 <10;

3 ∙ 4> 2 ∙ 5;

81: 9 <7 ∙ 8.

The author of the question chose this answer as the best.

Annagne.

[102K]

More than a year ago

The concept of equality or inequality in mathematics comes from comparison or numbers or expressions.

The equal sign is denoted by two parallel straight ones of the same length "=", and this sign is used in mathematics only since the end of the 16th century, and before that moment it was indicated in alphabetic terms.

An example of equality: 7 = 7 or 2 + 6 = 8 or a + b = b + a.

The inequality is indicated by signs greater and less.

As a rule, the very concept itself, and the sign of equality is easily understood and remembered, but with signs more and less many children arise difficulties in memorization and I, at one time, was no exception. I remember how we were taught to memorize these signs in the Soviet school: if you substitute the bird to the sign with the right and its keyboard is open - it means that the sign is larger, and if closed - then the sign is less.

For example :

  • We read on the left to the right and these examples sound like this:
  • four more units; Symbol less
Two less than six. True, in mathematics there are also the concepts faithful and incorrect, and they include both equality and inequality.

Wildcat.

[139K]

2 years ago

Equality is when something is different. When we have five fingers on each hand, but two eyes, one nose.

In mathematics, equality is denoted by two short parallel stripes: =. They mean that without a difference where to go and what to take, everywhere all the same.

5 = 5, 6 = 6, 7 = 7. Five fingers on one hand are equal to five fingers on the other and it was always.

But inequality is the absence of coincidence. It's if you have five fingers on your hand, and I have four, because he was a fool and one finger pulled him off.

It turns out that you have fingers more: 5> 4

This is a "more" sign. It is located above the letter at the keyboard and to extract it to use the English alphabet.

Nearby and the sign is less: <, and it is also available in English layout. 4 <5 and this is true. Try to raise four kilograms, and then take five. Do you feel the difference?

3 years ago

Author

[632K]

For this, the sign is used equal to (and it is referred to as the sign of equality), what does it look =.

Example

When recording different equalities, equal objects are made, as well as between them and put a sign =.

For example, to say, the recording of equal numbers 6 and 6 will be drawn as follows 6 = 6, and it can be read as "six equals six"

And if we need in writing to note the inequality of 2 objects, then the sign is not equal to ≠. A sign is a simply crossed sign equal.

For example, recording 3 + 5 ≠ 7. So it is possible: "The sum of the troika and five is not equal to seven. Still used signs "<", ">". Less - more.

Wildcat.

Custody

[189K]

  • When we talk about numerical equality, we use the "=" sign. In this case, one numerical expression that stands on the right, equal to the numerical expression that is located on the left.
  • Numeric equality possess several properties:
  • The property of reflexivity. For example: x = x; 2 = 2.

The property of symmetry. For example: 3 + 1 = 2 + 2, then 2 + 2 = 3 + 1.

  • Property of transitivity. For example: x = y, y = z, then x = z.
  • Also, if we do some of the same manipulations with both parts of equality, the equality does not change. For example, multiplication, addition (except manipulation from 0), division and subtraction.

3 + 1 = 2 + 2. We add to each of the parts 1. And we get 3 + 1 + 1 = 2 + 2 + 1. 5 = 5. Equality is not violated.

3 + 1 = 2 + 2. We multiply on 2 both parts. 2 (3 + 1) = 2 (2 + 2), 6 + 2 = 4 + 4, 8 = 8. Equality is not violated.

When we talk about numerical inequalities, we mean that it is part of expression more or less than another. Then the equal sign is not used, the signs "<" or ">", "≤" or "≥" are taken.

They also have a number of properties. And may be loyal and incorrect.

For example:

3 + 5> 6 is a faithful inequality;

Wildcat.

3 + 5 <6 is incorrect inequality.

Juga.

[85.5K]

Equality or inequality - follows from a comparison of numbers or expressions.

Something the same when compared can be called equality.

For example, 2 + 5 will be 7

and 3 + 4 will give in the amount of 7

These two expressions

2 + 5 and 3 + 4 with each other are equal

And you can write it like this:

2 + 5 = 3 + 4

Inequality, accordingly there will be an expression,

in which the amount in the right part will differ from the amount in the left

expressions.

For example:

3 years ago

2 + 6 is not equal to 3 + 4, and more by value.

Inequality is recorded by signs more or less or crossed out the sign of equality.

Maria Muzja.

[65K]

These concepts (equality / inequality) in mathematics are very interrelated.

3 years ago

Equality is a concept that is still in elementary school, and under this term, you need to understand the "statement", to which you can apply the sign "=", something equal and identical. There are numerical equality.

There are incorrect equivals and faithful.

And "inequality" is such a mathematical statement showing how much one number is different from the other.

Dilyara K.

[4.9K]

The equality is called such mathematical expressions when the values ​​on the left and right of the sign "=" are equal.

Equality, examples:

18 - 6 * 2 = 6

23 - (13 + 3) = 7

3 years ago

If the values ​​on the left and right are different, instead of the equality sign, signs of inequality "<", ">" are set, depending on which side of the inequality is greater.

Inequality, examples: 7 - 9 <5

Wildcat.

17> 21 - 19

[user blocked]

[3.9K]

In algebra there is a concept of "mathematical expression". If it is quite simple, this is a set of all kinds of mathematical actions and transformations. The result of "expressions" is its value. If the values ​​of two expressions are the same, it means "equality", if the values ​​are different, it is "inequality"

Alice in the country

[309K]

Equality in mathematics is a mathematical expression, between whose parts is the sign "Rivne". For example:

7 + 5 = 12

LG (x + 3) = 3 + 2 LG 5

Inequality This is when in mathematical expression between its parts it is not a sign "equal", but the "less" sign or the "greater" sign. For example:

Wildcat.

4 - 2 <5

4 (x - 2) ∙ (x + 2)> 0.

Sometimes there is such a sign between parts of the expression here (the crossed sign "equal": ≠, then this expression can also be called inequality:

20 + 5 ≠ 19

√ n (x) ≠ √ m (x)

ISA-ISA.

[72.6K]

"Equality" in mathematics are examples in which there is a sign "equal" between numbers or works of numbers. For example: 2x2 = 4, or 2x2 = 1 + 3, this is true equality. There are incorrect equivals when an example is infidelity.

Inequality, it is when there are more or less signs between numbers. How like equality, inequalities are incorrect.

31-26 <7.

2x2 <5.

100> 68-7

Do you know the answer?

Mathematics, Grade 1 Lesson 11. Equality. Inequality. Signs ">", "<", "="

The list of questions considered in the lesson: 1. Determine the location of signs more, less, equal

2. Write signs>, <, = 3. Call equality, inequality. .

Glossary Equality

- This is when one quantity is different. Inequality

- This is when one side of the expression is not equal to the second.

If the tick spout looks right - this

sign more (>) :

If the tickle is noted, look left - it

Sign less (<).

Equality sign (=)

In mathematics, in logic and other accurate sciences - a symbol that is written between two expressions in its value.

Keywords Sign>; sign <; sign =.

Main literature

1.Moro M. I., Volkova S. I., Stepanova S. V. Mathematics. Textbook. 1 cl. In 2 h. M.: Enlightenment, 2017.

Additional literature:

1. Moro M. I., Volkov S. I. Mathematics. Workbook. 1 cl. In 2 hours. Manual for general education organizations. - M.: Enlightenment, 201 p.

The main content of the lesson

one.

Today we go to the store to buy Ole and Ana to the lesson technology all training equipment.

For the lesson, you will need 1 pack of plasticine and two packs of cardboard.

=

How many packs of plasticine got girls? (one pack)

It can be said that the girls received the same amount of plasticine.

2. For technology, two packs of cardboard are required.

How many cardboard packs got girls? (two packs)

We can say that the girls received the same amount of cardboard.

3. In mathematics, a special icon is used to record that the number of items is the same. You can record numbers and use for the words "equally", "equal" special icon "=", 1 = 1

2 = 2 (similarly)

Two sticks will write children

And what happens in response,

After all, everyone learned a long time ago

How to spell that sign: Equally!

Such records are called

equalities.

This is equality. You can write equalities using the "=" sign.

We prove that the same number of items with the help of arrows forms a pair.

In the diagram, each subject we denote the circle and form a pair. Show the arrow.

Olya Anya

  1. Unnecessary figures left. So it is equally equally.

You can write 1 = 1

6. 2 + 1 = 3

How can I read this entry?

(Numerical equality)

Under this statement, there are two numerical expressions that stand on both sides of the sign "=".

Both parts of the record are equal to each other.

  1. What amount needed for a cardboard lesson? And plasticine?

To find out which items needed more or less, use special icons ">", "<".

  1. 3. In mathematics, a special icon is used to record that the number of items is the same. If from some side more or less, the record will be called "inequality".

Two more than one.

Cardboard plasticine

If the left is greater than the right, then use the ">" sign.

2> 1.

And if the number left is less than the right, then put the sign less "<".

1 <2.

inequalities:

4> 3, 4 <5

Analysis of the sample training task

Select the desired sign and distribute into two groups.

Finish each group with your records.

Анонсы

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