Shadowing-Übung: WHAT ARE NATURAL NUMBERS? - Englisch Sprechen Lernen mit Video
Übungsmodus wählen
Jeder Modus öffnet einen Übungsraum im Vollbild.
166 Sätze
Wenn Sätze zu kurz oder zu lang sind, klicke auf Edit, um sie anzupassen.
1
Hello, welcome back to another video.
2
I would like you to know today what the properties of numbers are.
3
Okay?
4
I know we all use numbers every day, but do you know what real numbers are?
5
Do you know what a natural number is?
6
If a number is not natural, what would you say it is?
7
Unnatural or supernatural?
8
Well, let's find out.
9
so properties of numbers i'm just going to
10
start with what i just asked natural numbers
11
if a number is natural it means you can find it in nature
12
and when humans try to count or try to talk about numbers They do this a lot.
13
One, two, three.
14
See the first number?
15
That's the first natural number.
16
One.
17
Not zero.
18
There's no zero among natural numbers.
19
So the set of natural numbers are the numbers you can count on your fingers.
20
One, two, three, four, five.
21
All numbers are positive.
22
So if you want to know natural numbers, you just need to look at your fingers.
23
Whatever you find is a natural number.
24
Okay, so set of natural numbers will be positive one, positive two, like that, three, four, all the way to the end.
25
Don't stop.
26
If it's a natural number, it keeps on going forever and ever.
27
Okay, let's go to number two.
28
So if a number is not a natural number, what is it?
29
It must be on the other side of the negative.
30
Okay, so, but before you cross to the other side of the negative, there's a number just before positive 1.
31
That number is called 0.
32
0 is not a natural number, but it belongs to the set of numbers called whole numbers.
33
So, our next definition is the set of whole numbers.
34
If a number is a whole number, well it is either a natural number or it's a zero.
35
Zero plus the set of natural numbers.
36
I love this!
37
numbers
38
so it's a whole numbers are just natural numbers including zero
39
that's it that's all we got to say let's move on to the next set let's talk about integers
40
why am I writing like this?
41
Come on.
42
Integers.
43
Okay, what are integers?
44
Well, integers are all these things you've seen.
45
Whole numbers plus whole negative.
46
I don't want to say negative whole numbers, but if that's how you're going to understand it,
47
Oh, let's say they are whole numbers plus all negative.
48
Oh, there's no negative natural number.
49
Just know if we change these signs to negative, just look at your number line.
50
Okay?
51
You walk into a classroom, you see the number line from negative infinity to zero to positive infinity.
52
That's what you call integers.
53
Put that in your head.
54
I'm just going to write the number line from left to right.
55
no fractions no decimals we don't call them whole numbers
56
but they are whole numbers
57
but still have negative portion of the whole that's confusing just
58
stick to it just look at the number line all the numbers you see are what you call integers keep
59
that in your head or in your notebook
60
and then later in your head let's move on the next thing let's go to real numbers whoa
61
so real numbers are real okay
62
if a number is a real number it means it is any of these things
63
that you've known or maybe fractions decimals rational or irrational numbers just know
64
that every number you know is a real number unless there's a part of it
65
that is not real
66
and the part of a number is not real you say it is an imaginary number
67
or a complex number i'm going to explain what an imaginary number is
68
or what a complex number is but just know
69
that every number you know is real all numbers fractions decimals
70
whole numbers negative positive zeros infinity All those numbers are real, okay?
71
Real numbers.
72
All numbers that are not imaginary.
73
Okay?
74
So, if a number is not imaginary, it's a real number.
75
This is the largest group of numbers you'll be dealing with, okay?
76
So if a number is not real, it's going to be imaginary.
77
Now what's an imaginary number?
78
That's the next thing I'm going to do.
79
Let's get rid of this.
80
I know this is in your head already.
81
Let's go.
82
Come on.
83
So, what's an imaginary number?
84
Imaginary number.
85
Let me give you a simple example.
86
The square root of 4 is positive 2.
87
Because positive 2 times positive 2 is going to give you 4.
88
So the root of 4 is going to be 2.
89
Now let's look at, what if I said that the square root of 4 is negative 2?
90
Will I be correct?
91
Yes, I will be because negative 2 times negative 2 is still going to be positive 4.
92
So, what if I say the square root of negative 4?
93
And that becomes impossible because it cannot be negative 2 and it cannot be positive 2
94
because both of these are answers to square root of 4.
95
So what's the square root of negative 4?
96
Yeah, it's a bit twisted.
97
What if we rewrite this as the square root of negative 1 multiplied by 4?
98
Negative 1 multiplied by 4 gives you the square root of negative 1 multiplied by the square root of 4.
99
Ah, now we can come back to getting our answer positive to or negative to whatever we choose,
100
will be fine but what again is the square root of negative one it is not one
101
and it is not negative one
102
because those two numbers multiply negative one times negative one gives you one not negative one
103
so how do we resolve this well we just need to imagine
104
that there is an answer is it real no that's why it's called an imaginary number
105
so this is called the imaginary portion of the answer and it is written as i.
106
The square root of 4 is 2.
107
So our answer here is 2i or negative 2i, depending on which of these options you pick.
108
However, the i is there.
109
That i means imaginary.
110
Okay?
111
So if a number doesn't have this kind of behavior, you know the number is real.
112
If it has an I in it, it's imaginary.
113
Now you know your sets of numbers, you know the properties of numbers.
114
There's some other properties that you should know by now.
115
You should know what an even number is.
116
You should know what an odd number is.
117
And you should know what a prime number is.
118
Okay?
119
You should know what a fraction is.
120
and you should know what a decimal is, and then all kinds of decimals,
121
but ultimately you should know what a rational number is.
122
That would be my final point.
123
Rational numbers.
124
Rational numbers a number is rational
125
if it can be written as a
126
fraction rational numbers are all numbers
127
that can be written
128
as a fraction let me change this
129
so the grammar is correct it's any number any number any number
130
that can be written as a fraction
131
so every number we've talked about today is supposed to be
132
a part well all rational numbers will be real numbers
133
so what's a rational number well all integers
134
or whole numbers all those things can be written as a
135
fraction for example three is the same thing as three over one well there's some few numbers
136
that are not rational the most popular of them will be
137
so will be pi so just know
138
that every number you come across is supposed to be rational unless it has a behavior like this
139
when you write it in decimal
140
or as a you can't write it as a fraction
141
so you have to write as a decimal and
142
when you write it as a decimal it does not repeat
143
okay it does not it behaves like pi this is a good example of an irrational number okay
144
so pi is irrational because
145
when you start writing the digits of pi it has no
146
end that's number one another good example is the square root of any number
147
that is not a perfect square or the cube root of any number
148
that is not a perfect cube or the fourth root of any number
149
that is not a perfect fourth okay so
150
if you try to take the square root of say eight
151
for example well this eight is not a perfect square you can't really tell
152
so when you write the answer you're going to have decimals
153
that keep on going you can check it in your calculator
154
so the square root of a is also irrational okay
155
and there's some other mathematical constants
156
that you never find them um to end there's no you just approximate you just approximate you just approximate
157
or you assume a fraction which is not real
158
so pi is irrational the square root of a number
159
that is not a perfect square is also irrational okay i
160
believe you've learned something you've gotten gotten something to keep okay
161
if you ever forget any of these things come back to
162
the video okay send me an email send me uh put
163
a comment in the description um in the comment section
164
and please share like
165
and subscribe to my channel it encourages me to put up more videos thank you
166
and don't stop learning god bless you bye Thank you.
App herunterladen
Alles, was du zum fließenden Sprechen brauchst
KI-AussprachebewertungJeder Satz bewertet
IPA-TrainingJeden Laut meistern
WortschatzBaue deinen Wortschatz auf
VokabelspielSpielend lernen
FOR YOU
Empfohlenes Video
B2345 Sätze
Fractions Made EASY!
Daily ConversationHigh School Students
B137
19 Sätze
01 Music Basics - What is Music?
Daily ConversationHigh School Students
B18
32 Sätze
Level 3 Book 1 B11 When an Apple Falls
Daily ConversationHigh School Students
B21
425 Sätze
NEW- Micro Unit 1 Summary- Basic Economic Concepts
Daily ConversationHigh School StudentsUniversity Students
B11
335 Sätze
Stop Saying “I DON’T KNOW” | 5 Natural English Phrases Native Speakers Use | Easy English Podcast
Business EnglishDaily ConversationHigh School Students
B11
278 Sätze
How to read ALL NUMBERS in English - BIG NUMBERS, Decimals, Dates, Fractions, Phones, Ordinals
British AccentBusiness EnglishDaily ConversationHigh School Students
A21
165 Sätze
a an the شرح ادوات التعريف في اللغة الانجليزية : شرح قاعدة a an the ✅
Daily ConversationHigh School Students
B22
122 Sätze
SET Notations | Mathematics: IGCSE, GCSE & O Level (CIE/CAIE, Edexcel, AQA, OCR)
Cambridge Exam PrepHigh School StudentsUniversity Students
B16
57 Sätze
Science in English #3 | The Periodic Table
Daily ConversationHigh School StudentsUniversity Students
B12
692 Sätze
Learn English | Reading for Vocabulary | Level B | Lesson 01 | Brian Stuart (미국교과서)
Daily ConversationHigh School StudentsUniversity Students
C13
131 Sätze
Unit Conversion & Significant Figures: Crash Course Chemistry #2
Daily ConversationHigh School StudentsUniversity Students
A266
84 Sätze
This is Britain - School
KidsTeensDaily Conversation
Erste Eindrücke: Warum dieses Video tolles Material zum Sprechen lernen ist
Dieses Video eignet sich hervorragend, um Englisch lernen mit YouTube, weil es einfache, klare Sätze verwendet, die perfekt fürs Shadow Speech sind. Der Sprecher spricht langsam und deutlich, ohne übermäßige Slangs – ideal, um die Grundlagen der Aussprache und Rhythmus zu üben. Zudem behandelt es ein Alltagsthema (Zahlen), was es leichter macht, die Inhalte zu verstehen und zu wiederholen. So kannst du nicht nur Englisch sprechen üben, sondern auch Wissen zu Mathematik aufbauen – zweierlei Gewinn!
Analyse: Warum die Sätze natürlich klingen
Lass uns die Dialoge genauer betrachten. Hier sind drei Beispiele für natürliche Sprachweise:
- "Hello, welcome back to another video." – Ein typischer Einstieg, der freundlich und unkompliziert klingt. Die Wendung "welcome back" wird oft in YouTube-Videos verwendet, um Zuschauer zu begrüßen – perfekt fürs Üben von Alltagsgesprächen.
- "One, two, three. See the first number? That's the first natural number." – Kurz und knapp, mit Wiederholungen, die das Verständnis fördern. Die Frage "See the first number?" macht die Sprache interaktiv, wie in echten Gesprächen.
- "Well, integers are all these things you've seen." – Das Wort "well" ist ein häufiges Füllwort im Englischen, das die Sprache flüssiger macht. Es zeigt, dass der Sprecher sich an den Zuhörer wendet und nicht "stumpf" vorträgt.
Übungsroutine: So übst du mit Shadow Speak
Probier diese einfache Methode aus, um dein Sprechen zu verbessern: Shadow Speak (auch "Shadowspeak" genannt). Folge diesen Schritten:
- Spiele ein kurzes Stück des Videos (5-10 Sekunden) ab.
- Pausiere und wiederhole sofort den Satz, so genau wie möglich – achte auf Tonhöhe und Rhythmus.
- Nehme dich auf, während du übst. Höre dir später zu, um zu sehen, wo du verbessern kannst.
- Wiederhole den Vorgang mit demselben Stück, bis du ihn flüssig sagen kannst. Dann gehe zum nächsten Teil über.
Diese Routine hilft dir, die natürliche Sprachweise zu internalisieren. Übe täglich 10-15 Minuten – du wirst schnell Fortschritte sehen! Mit Englisch lernen mit YouTube und Shadow Speech wirds Spaß machen, dein Sprechen zu verbessern.
Grammatik in diesem Video
Die Strukturen, die der Sprecher am häufigsten verwendet, mit den genauen Worten aus dem Video:
| Struktur | Im Video |
|---|---|
| Passiv be + Partizip Perfekt – wichtig ist, was geschieht, nicht wer es tut | is called · can be written |
| Present Perfect have/has + Partizip Perfekt – eine vergangene Handlung, die jetzt noch wichtig ist | you've seen · you've known · we've talked |
Was ist die Shadowing-Technik?
Shadowing ist eine wissenschaftlich fundierte Sprachlerntechnik, die ursprünglich für die professionelle Dolmetscherausbildung entwickelt und durch den Polyglotten Dr. Alexander Arguelles populär gemacht wurde. Die Methode ist einfach aber wirkungsvoll: Du hörst englisches Audio von Muttersprachlern und wiederholst es sofort laut — wie ein Schatten, der dem Sprecher mit nur 1–2 Sekunden Verzögerung folgt. Anders als passives Hören oder Grammatikübungen zwingt Shadowing dein Gehirn und deine Mundmuskulatur, gleichzeitig echte Sprachmuster zu verarbeiten und zu reproduzieren. Studien zeigen, dass es Aussprachegenauigkeit, Intonation, Rhythmus, verbundene Sprache, Hörverständnis und Sprechflüssigkeit signifikant verbessert — was es zu einer der effektivsten Methoden für die IELTS Speaking-Vorbereitung und reale englische Kommunikation macht.