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Basic Division.
Do you know why we divide? We divide to distribute things equally.
There are 8 carrots, they need to be divided equally among 4 rabbits. How many carrots will each rabbit get?
First take away 4 carrots so that each rabbit gets 1 carrot each. 4 carrots are still left.
Take away these also one by one. No more carrots are left. All the carrots are distributed and each rabbit has 2 carrots.
We have taken away 4 carrots 2 times. This can be written as 8 minus 4 is equal to 4. 4 minus 4 is equal to 0.
Thus, 8 divided by 4 is equal to 2.
This means for equal distribution, that is, for division, we do repeated subtraction and the answer is the number of times we subtract the same number.

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In this video, I explain how to ACE the SOF (Science Olympiad Foundation) exams. I explain then in 5 minutes in an easy, concise and informative way.

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Here is an example of one sample paper (15 marks) on the SOF site.
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Here is the list of guidelines:
https://sofworld.org/guidelines-sof-olympiads-2021

There are seven SOF exams:
NCO: NATIONAL CYBER OLYMPIAD
NSO: NATIONAL SCIENCE OLYMPIAD
IMO: INTERNATIONAL MATHEMATICS OLYMPIAD
IEO: INTERNATIONAL ENGLISH OLYMPIAD
ICO: INTERNATIONAL COMMERCE OLYMPIAD
IGKO: INTERNATIONAL GENERAL KNOWLEDGE OLYMPIAD
ISSO: INTERNATIONAL SOCIAL STUDIES OLYMPIAD

Thank you for watching!

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If you prefer to read, rather than watch this video, here’s the transcript:

Title: Fractions as Division - Fast And Easy Math Learning Videos

You already know that you can write the remainder in a division problem as a fraction. In this lesson you’ll learn that all division problems can be written as fractions. First let’s review writing remainders as fractions:
Thirteen divided by 3.
Remember: to solve this problem we make an array.
The array we made is 3 by 4, and there’s 1 left over.
Now we break each of our remaining blocks into 3 parts.
And we continue making the array with the parts.
So, now the array we’ve made is 3, by 4 and one-third.
So, 13 divided by 3 is equal to 4 and one-third.
Instead of just splitting the remainder blocks into thirds, we could have split all of the blocks into thirds before forming the array, like this.
Now we’ll make an array. Remember, since we split the blocks into thirds, each whole block will end up being 1 column in the array.
So the array we formed is 3 by thirteen-thirds.
So 13 divided by 3 is equal to thirteen-thirds.
We can do the same thing for all division problems. Any division problem can be rewritten as a fraction with the numerator as the dividend and the denominator as the divisor.
Let’s look at another example.
Three divided by 4.
Since 3 is less than 4 we cannot make an array without splitting each of the blocks into fourths, like this.
Now we can make an array.
So the array we formed is 4 by three-fourths
So 3 divided by 4 is equal to three-fourths.
Let’s look at another example: 56 divided by 9. We can rewrite this as a fraction with 56 as the numerator, and 9 as the denominator.
Let’s look at one last example
Four-sixths. Just as we can rewrite division problems as fractions, we can also rewrite fractions as division problems. So four-sixths is equal to 4 divided by 6.
In the remainder of this lesson you’ll rewrite division problems as fractions and fractions as division problems.

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https://youtu.be/l4I7Hj-Taxc

Description

Her kan du lære å multiplisere og dividere med desimaltall, og lære en regel som forteller hvor mange desimaler som skal vere i svaret.

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Du kunne reducere udtryk med variable og tal
Du skal kunne isolere den ubekendte variable(ofte x) i en ligning
Du skal kunne løse en ligning vha. addition(+), substraktion(-), multiplikation(*) og division(:)

Den første af 4 videoer om hvordan man simpelt og systematisk løser ligninger.

De første to videoer viser to helt simple matematiske funktioner, der i de senere videoer kombineres så man kan løse vanskeligere ligninger.

Matematik: Vi tager 2 besværlige ligninger og løser dem ud fra de 2 overordnede regler. 1: Hvad du gør (ændrer af vægt) på den ene side af lighedstegnet, skal du også gøre (/ændre) på den anden. 2: Hvad er spørgsmålet i opgaven? Isolér denne på den ene side af lighedstegnet og få svaret på den anden.

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Ligninger med X på begge sider: Videoen gennemgår, hvordan man løser en ligning med X på begge sider af lighedstegnet. Mange bliver forvirret over, at de skal holde styr på to X'er i den samme ligning. Se videoen og du vil opdage, at det er nemmere end du måske tror. Har du spørgsmål, så er du velkommen til at skrive dem i kommentarfeltet.

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Hvordan løser man en ligning? - hvordan isolerer man x - helt grundlæggende.