Basic mathematics

- Long division

* If you draw a digit from the dividend and the reminder is still < divisor, add 0 in the quotient, if you draw 2 digits and the reminder < divisor, add 00 in the quotient.
ex.: 3219.2/32 = 100.6, 323.2/32 = 10.1
* If the dividend has 0s at its end, after you finish dividing the non-zero part, add the rest 0s to the quotient, beware of adding a 0 that was use in previous division stage of the long division. And, if there's a decimal part, add the rest 0s.
ex.: 16000/32 = 500, 16000.32/32 = 500.01

Rounding:

- Round off to nearest ...
- The bias in the total value of full rounded list of numbers
- floor(), ciel(), int(), frac(), trunc(), round(), mod()
* frac(x) = x - floor(x) or frac(x) = x - int(x)
* sometimes with negatives int(x) = floor(x), becareful with int, it differs from calculator to another.

ALGEBRA LAWS:

- Commutative (+,*), Associative (+,*), Distributive (+,*,-) Laws

Identity:

- The opposite of x (additive inverse) with addition yields the additive identity (0).
- The reciprocal of x (multiplicative inverse) with multiply yields the multiplicative identity (1).

Factors:

- Divisibility (2,5,3,11)
- Decomposing a Number into Its Prime Factors
- GCF and LCM

Decimals and fractions:

- Reduce fraction to/write it in lowest terms
- Compare two fractions
- Increase fraction to ... new terms (also when a fraction denominator turned to be the same of denominator of another in adding or subtracting)
- Mixed fraction (convert mixed number with negative fraction) (a b/c = a*c+b/c) (a -b/c = a*c-b/c)
- Multiplying and Dividing Mixed Numbers
- Carried Away: Adding Mixed Numbers
- Borrowing from the Whole: Subtracting Mixed Numbers
- LCD (by cross-multiply, increasing fraction to new terms, LCM)

- Convert fraction to decimal and vice versa
- Converting a recurring decimal into a fraction
- Adding and subtracting decimals, multiply and division

Scientific notation:

- Scientific notation/ Multiplying and Dividing and adding

Percentages:

- Percentages and ratio of 10
- Multiples of 100% (convert to fraction)
- x% of y = (x/100)*y
- x of y = (x*100)/y = x%
- Changes in percentages (increasing and decreasing)

1) Calculate the percentage of the new number. For example, if the original number was 482 and it changed to 458, do this to know how much in percents 458 to 482:
(458*100)/482 = x%
change the improper fraction to mixed fraction to have sensible value.

2) Subtract the result of the previous step from 100 and change improper fraction to mixed fraction for sensible number. (Use abs function)

3) You can divide the result by 100 to have the ration in times, like to know that the increasing or decreasing was half time or quarter time ... etc but it's sensible only in some numbers, it won't be sensible for our example.

Round numbers also to have sensible numbers.

Quran

- We have no time to waste to prove if Quran is right or wrong, we want useful information can be used in our reality and modern age.

- We are not interesting in forms of linguistic words, we are interesting in words values, not values you think, but the real values of a word.

 

حرف وعدد ووجه وتعقيب 

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:الفهم العامّي

مواضيع وأسباب النّزول هي مناسبات القرآن لصياغة حروف موضوع ما وليست تلكـ المناسبات هي القصد النّهائي من القرآن ولكن ذكر الحروف 

لذكر حروف موضوع ما عدة أشكال فقد تكون لما يسلكه الموضوع حقّاً أو لما يليق أن يكون 

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قد يكون سلوكـ آية 7 و8 من التوبة هو السلوكـ المباشر والغير مباشر 

Economy

من المنطق ارتباط سعر السلعة المحليّة بأسعار تكاليف مواد تصنيعها العالميّة ودعم السلع الأساسيّة ذات الإرتباط العالمي بالأسعار للوصول لمنطق في السعر وليس أرقام جُزافيّة

متوسط الدخول لطبقةٍ ما داخل الدولة لا يُعبّر عن المتوسط العام للدخول لمواطني هذا الشعب ،بُعد الإحصائيّة عن الواقعيّة

- It's sensible to see ups and downs in price of kind of goods, but it'll need an explanation for goods that keep coming up without any downs.

- Pepsi bottle 2L costs about 2.29$, it's here 13 pounds, but 2.29$=37 pounds approximately, no sense, Pepsi costs inside US more than in Egypt. This can mean that we don't talk about same quality although we are talking about same product. Another point is that 2.29$ to the average of US incomes can be so low price, but 13 pounds will be higher to Egyptians incomes. Using few units of currency inside country means that this currency is valuable, it's good value inside itself.

- One kind of goods was by 2.5 pounds in 2007, in 2020 it costs 18 pounds. The increasing in the price is 720% = 7 1/5 times It means the value of the pound became low, but the incomes didn't increased the same, this is a problem, so this good is now expensive although it was normal and cheap in 2007. If the value of the currency became low, the income increases more to make a balance, if the currency is valuable, it'll be sensible the incomes are in reasonable amounts.  

- If a country has ups and downs in prices of its goods, it means this country uses science in reality, its calculations are more real, but if it has keeping ups of some goods prices with no sense, it means this country doesn't apply science in reality. 

- Wheat price in dollar is about 5$ for 25.5 kg 2020, in Egypt 700 pounds for 150 kg, I think it'll be 127.5 pounds for 25.5 kg = 8$ approximately. The ratio between two prices is 1 time and 3/5 between 5$ and 8$. I think the dollar price is international price, 8$ is the price inside Egypt, we suppose the price inside the country is lower than the international price. Lower incomes with price higher than the international price makes no sense. 

- The necessary goods the country produce has lower price than the international one. Assumption. 

- Numbers provide mental sight, reality realizing, sense, no sense, and visions. 

قيام وكساد السّوق لسلعةٍ ما مرهون باستهلاكها

لإحداث إستهلاكـ لسلعة ما مرتبطة بمؤهلات تعليميّة وثقافيّة للمستهلكـ لفهمها والإستفادة منها يكون التوجّه بالإستثمار في التعليم 

- You can't make a market for computer games without making people qualified to understand this product and gain benefit behind it. The investment in education. 

- Investment in good education turn back good rewards in future because people will be able to understand the modern products of science and they will request 'em. 

- English is a great example in investment in language, education and culture. Look how many institutes produce dictionaries and English teaching books and courses and how much money and other kinds of rewards they gain. 

 

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تعريف : الإقتصاد هو إشباع الحاجة بكفاءة أو هو الكفاءة في إشباع الحاجات ،راجع تعريف الكفاءة