7= 4 22/7
7 equals to 4 whole and 22 divided by seven
Answers
Step-by-step explanation:
Don’t know where you got this information from, but someone can either say it is or it isn’t, and he will be right in both cases.
The value of Pi is an irrational number despite how much we might simplify it. I imagine however, that you got such an equivalence from a school textbook or a mention on a website, as they would be the only ones in mind that care about using such a twist “22 upon 7”.
Why is that true:
22:7=3.14
Pi value=3.14
3.14=3.14
Why it is not true:
Just “22:7″ equals 3.142857142857143…
However, we know that Pi equals 3.14159265…
…thus 22 upon 7 > Pi
Why may they say it is true:
Because Maths, assuming we are seeing this in a maths textbook or file, does not necessarily care about details. You probably know that the main goal of maths (up to a certain level of education or purpose), is not to get the correct number to 20 decimals, but instead to train your ‘mathematical vision’, or in other words: logic, common sense, basic math skills. Being able to see that 22 over 7 is very close to the Pi number which you have been recently studying in class and home, is enough evidence that you have at least that desired level of common sense and calculation accuracy, as well and attention in class. 22 over 7 is also the simplest positive fraction, representing a value starting with the digits “3.14″.
Everyone knows that 22/7 is not equal to Pi if they really care, but we assume that no one cares about the difference in value after the first two decimals. Yes, in certain environments and businesses it can be vital to use accuracy up until the 50th decimal, however, we don't own such businesses. Following this assumptive technique, most of your knowledge on other topics such as Biology, Chemistry and even random knowledge like “The planet Earth is not flat” still uses assumptions (in the Earth’s case, we assume that we take the whole planet and minimise its scale, rather than taking a flat segment of it and zooming in until we reach near perfect flatness.) One of my all-times favourite phrase is: “Nothing is certain’. That can be subjectively, universally true.
Just remember that Maths, if it was a person, is not a perfectionist. Quite the opposite in fact. I am sure that if you go through your old textbooks and look through the pages, you will see some more weird value inequalities. Also, if this inattention to details annoys you, then don't even think about looking in the algebra and geometry books.
Bottom line, we use irrational numbers all the time and… we can't expect our ‘rational’ thinking to cooperate with them. It is really time and effort inefficient, to give attention to the minimalistic flaws within the taught and everyday used maths, so we prefer to state assumptions as facts.
Imagine the impact on the developing student minds, if a teacher was to only say “Eh, close enough”, every time they got a ‘correct' answer. It is a matter of advantages against disadvantages.
That’s our specie’s way of being smart.
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