Math, asked by abdurehmanasif209, 1 month ago

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Answered by gnsukanya7
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Answer:

Step-by-step explanation:

1) A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

2) Equivalent sets are the sets with equal number of elements in them

3) two sets are non-equivalent if the relation does not hold of them.

4) In set theory, the union of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

5) The difference of two sets, written A - B is the set of all elements of A that are not elements of B. The difference operation, along with union and intersection, is an important and fundamental set theory operation.

6) the set containing all objects or elements and of which all other sets are subsets.

7) The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

8)  rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

9) A terminating decimal is a decimal, that has an end digit. It is a decimal, which has a finite number of digits(or terms). Example: 0.15, 0.86, etc. Non-terminating decimals are the one that does not have an end term

10) Exponential notation is a method of simplifying the writing and handling of very large or very small numbers.

11) Profit- The amount gained by selling a product with more than its cost price.

Loss-The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.

12) In the Simple discount situation, there is an amount of money (future value) due on a certain future date, usually within a year; the debtor can ask for paying in advance and, if the creditor agrees with him,  the money to be paid today (present value) is less than the due capital; in fact the future value is subtracted by the discount  calculated in proportion to time and rate of discount

13) Interest refers to the cost of borrowing money or the reward for lending money.

14) Zakat -payment made annually under Islamic law on certain kinds of property and used for charitable and religious purposes, one of the Five Pillars of Islam.

15) Obtain the given rational numbers.

Write the given rational numbers so that their denominators are positive.

Find the LCM of the denominators.

Make the denominators same using LCM.

Now, compare the numerators and give then proper inequality sign.

16) In Mathematics, there are different laws of exponents. All the rules of exponents are used to solve many mathematical problems which involve repeated multiplication processes. The laws of exponents simplify the multiplication and division operations and help to solve the problems easily.

17) Addition- If a and b are any two whole numbers, then a + b = b + a.

Subtraction - If a and b are two whole numbers such that a > b or a = b, then a – b is a whole number. If a < b, then subtraction a – b is not possible in whole numbers.

Multiplication - The six main properties of multiplying integers are Closure Property, Commutative Property, Associative Property, Distributive Property, Identity property and multiplication by zero.

Division - If a and b are integers then a/b is not necessarily an integer.

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