Are there operators between addition and multiplication

Basic arithmetic explanation and terms

We look at the four basic arithmetic operations with terms here. This is what you get:

  • A Explanationwhich basic arithmetic operations and which technical terms are available.
  • Lots Examples, which are calculated in detail.
  • tasks / Exercises so that you can practice the basic arithmetic by yourself.
  • Videos on written calculation procedures for the basic arithmetic operations.
  • A Question and answer area around this topic.

The basic arithmetic operations include addition, subtraction, multiplication and division. If you are only interested in one basic arithmetic, you can call up the four topics directly:

Explanation of basic arithmetic

Let's look at the four basic arithmetic operations here.

addition:

Addition is the first basic arithmetic. This is about adding up two or more numbers. Examples for the addition would be:

  • 2 + 3 = 5
  • 4 + 2 = 6
  • 5 + 8 = 13
  • 7 + 5 + 8 = 20
  • 9 + 2 + 1 + 3 = 15

The operator for addition is the plus sign (+). The following applies to the terms (technical terms): Addend + Addend = Sum. Sometimes this is also written as: 1st summand + 2nd summand = sum. The next graphic shows this again:

subtraction:

With a subtraction, one number is subtracted from another number. If the two numbers are the same, the result is zero. Some examples of subtraction:

  • 8 - 2 = 6
  • 10 - 5 = 5
  • 12 - 10 = 2
  • 41 - 11 = 30
  • 68 - 24 = 44

The operator for the subtraction is the minus sign (-). In terms of technical terms, the following applies: Minuend - Subtrahend = difference. The next graphic shows the terms again:

multiplication:

The third basic arithmetic is multiplication. Two or more numbers are multiplied together. What many people are not aware of: Multiplication is an abbreviation for addition. If you want to see this in more detail, please see the article multiplication directly. Here are a few more examples for multiplication:

  • 2 · 3 = 6
  • 4 · 2 = 8
  • 3 · 3 = 9
  • 6 · 2 = 12
  • 8 · 4 = 32

The multiplication operator is the multiplication sign. This is actually a period (·), but an asterisk (*) is often used on the Internet. From the technical terms: factor · factor = product. Sometimes this is also represented with 1st factor · 2nd factor = product. The next graphic shows the terms again:

division:

The final basic arithmetic is division, sometimes referred to simply as dividing. Division is the reverse of multiplication. Here are some examples too:

  • 8 : 2 = 4
  • 16 : 8 = 2
  • 20 : 10 = 2
  • 18 : 9 = 2

The operator for the division is the divided sign. For this you either use a: or a / for the representation. Back to the technical terms: Dividend: Divisor = quotient. The next graphic shows the terms again:

Display:

Examples of basic arithmetic

In this section, further examples of the basic arithmetic operations are presented.

example 1:

What are the solutions to the following examples? Note that these are also negative numbers.

  • 7 · 3 = ____
  • 6 + 2 - 4 = ____
  • -3 - 4 = ____
  • 18 : 9 = ____
  • -10 · 4 = ____

Solution:

  • 7 · 3 = 21
  • 6 + 2 - 4 = 4
  • -3 - 4 = -7
  • 18 : 9 = 2
  • -10 · 4 = -40

Example 2:

What does the rule point before line mean? Answer the question and solve the next tasks.

  • 2 + 3 · 5 = ____
  • 7 - 6 : 2 = ____
  • 10 · 2 + 5 · 3 + 8 = ____

Solution:

The rule point before line says that you first calculate a multiplication or division and only then add and subtract. Details can be found in the article point before line.

  • 2 + 3 · 5 = 2 + 15 = 17
  • 7 - 6 : 2 = 7 - 3 = 4
  • 10 · 2 + 5 · 3 + 8 = 20 + 5 · 3 + 8 = 20 + 15 + 8 = 43

These were some mixed tasks.

Example 3:

How do you have to deal with brackets in the calculation? Use it to calculate the next tasks.

  • 4 + 2 · 3 = ____
  • (4 + 2) · 3 = ____
  • (12 + 2) · 5 + 10 = ____

Solution:

If there is a bracket, it will be calculated first. Only then is it carried out point by line.

  • 4 + 2 · 3 = 4 + 6 = 10
  • (4 + 2) · 3 = 6 · 3 = 18
  • (12 + 2) · 5 + 10 = 14 · 5 + 10 = 70 + 10 = 80

Example 4:

There are rules of calculation in mathematics. Three of them were called commutative law, distributive law and associative law. Name the formulas the equations of the three rules and give an example.

Solution:

  • Commutative law:a + b = b + a and also a b = b a.
  • Examples: 2 + 3 = 3 + 2 and also 2 3 = 3 2
  • Associative law: (a + b) + c = a + (b + c) and also (a b) c = a (b c).
  • Examples: (1 + 2) + 3 = 1 + (2 + 3) and also (1 · 2) · 3 = 1 · (2 ​​· 3).
  • Distributive law: a * (b + c) = a * b + a * c and also (a + b) c = a c + b c
  • Examples: 1 x (2 + 3) = 1 x 2 + 1 x 3 and also (1 + 2) x 3 = 1 x 3 + 2 x 3

Examples 5:

Suppose the numbers get bigger when doing basic arithmetic. What measures can be used to calculate this?

Solution:

First of all there are of course pocket calculators, PCs, smartphones etc. to solve more demanding tasks. Otherwise there are semi-written and written calculation methods. Here is a small list of relevant topics:

Basic arithmetic terms Tasks / exercises

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Basic arithmetic videos

Terms and examples

In this video we look at the basic arithmetic operations. This includes addition, subtraction, multiplication and division. Important terms for the basic arithmetic operations are shown and appropriate examples are calculated.


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Questions with answers basic arithmetic

This section deals with questions with answers about the basic arithmetic operations.

Q: When are the basic arithmetic operations covered in school?

A: The basic arithmetic operations with addition and subtraction of small numbers are already started in 1st grade. From the 2nd grade onwards, multiplication and division are usually added. The basic arithmetic is of course needed over the entire school career (and often afterwards). The numbers are of course often significantly larger and variables also become part of the calculations.