In the world, each country has its own currency. For example, the Currencies of Thailand, UK, and Nepal are Bhat, Pound Sterling, and Rupees respectively. The values of the currencies of different countries are different. The exchange of a currency of a particular country with the currency of another country is called Money Exchange.

 

There are different rates for the selling and buying of foreign currencies. The bank or money exchanger makes some profit from the difference in selling and buying rates.

Define Irrational Numbers with Examples.

 

Definition: A decimal number which is non-terminating and non-recurring is called an irrational number. Irrational numbers cannot be expressed in the form of p/q where p and q are integers and q≠0. The square root of all non-square numbers, cube root of all non-cube numbers, etc. are all non-terminating and non-recurring decimal numbers, so they are irrational numbers. π(pi) also is an irrational number.

 

10 Math Problems officially announces the release of Quick Math Solver, an android app on the Google Play Store for students around the world.

What is a Rational Number?

 

The definition of a rational number is “A number which can be expressed in the form of p/q or fraction where p and q are integers and q ≠ 0 is a Rational Number.

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10 Math Problems officially announces the release of Quick Math Solver, an Android App on the Google Play Store for students around the world.

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Examples of Rational Numbers

 

All the integers and decimal numberes can be expressed in the form of p/q or fraction of two integers. For example 0 = 0/1, 1 = 2/2, -2 = -4/2, 0.5 = ½, 1.25 = 5/4, 0.3333… = 1/3 etc. Therefore, 0, 1, -2, 0.5, 1.25, 0.3333… etc. are some examples of rational numbers

Rational numbers include all the integers on a number line along with the fractions between integers. Look at the number line given below.

The set of rational numbers is denoted by Q.

Q = {… -1, …, -¾, …, -½, …, -¼, …, 0, …, ¼, …, ½, …, ¾, …, 1, …}

 

Note:

-      There are infinitely many rational numbers between any two integers.

-      There are infinitely many rational numbers between any two rational numbers.

What is Integer?

 

The definition of integer is “Any counting number whether it is negative(-), positive(+) or zero(0) is an integer.”

 

The set of integers is an infinite set from both the sides and it is denoted by Z.

Z = {…… -5, -4, - 3, -2, -1, 0, 1, 2, 3, 4, 5 ......}

What are Prime and Composite Numbers?

 

Answer:

A number which has only two factors is called a Prime Number and a number having more than two factors is called a Composite Number.

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10 Math Problems officially announces the release of Quick Math Solver, an Android App on the Google Play Store for students around the world.

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For example,

2 has only two factors 1 and 2, so 2 is a prime number.

3 has only two factors 1 and 3, so 3 is a prime number.

5 has only two factors 1 and 5, so 5 is a prime number.

etc. But,

4 has three factors 1, 2, and 4, so 4 is a composite number.

6 has four factors 1, 2, 3, and 6, so 6 is a composite number.

8 has four factors 1, 2, 4, and 8, so 8 is a composite number.

etc.

Questions and Answers

 

What is composite number? Define with examples.

 

Answer: The definition of composite number: "A number which has more than two factors is called a composite number." Or, a number having more factors other than 1 and the number itself is called a composite number.

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10 Math Problems officially announces the release of Quick Math Solver, an Android App on the Google Play Store for students around the world.

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For example:

4 has a factor 2 other than 1 and 4, so 4 is a composite number.

6 has factors 2 and 3 other than 1 and 6, so 6 is a composite number.

8 has factors 2 and 4 other than 1 and 8, so 8 is a composite number.

9 has a factor 3 other than 1 and 3, so 9 is a composite number.

10 has factors 2 and 5 other than 1 and 10, so 10 is a composite number.

12 has factors 2, 3, 4, and 6 other than 1 and 12, so 12 is a composite number.

14 has factors 2 and 7 other than 1 and 14, so 14 is a composite number.

15 has factors 3 and 5 other than 1 and 15, so 15 is a composite number.

etc.

Questions and Answers

 

Define prime number.

 

Answer: The definition of prime number: “A number which has only two factors is called a prime number. The two factors are 1 and the number itself.”

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10 Math Problems officially announces the release of Quick Math Solver, an Android App on the Google Play Store for students around the world.

********************

 

For example:

2 has its factors 1 and the number 2 itself. So, 2 is a prime number.

3 has its factors 1 and the number 3 itself. So, 3 is a prime number.

5 has its factors 1 and the number 5 itself. So, 5 is a prime number.

7 has its factors 1 and the number 7 itself. So, 7 is a prime number.

11 has its factors 1 and the number 11 itself. So, 11 is a prime number.

13 has its factors 1 and the number 13 itself. So, 13 is a prime number.

17 has its factors 1 and the number 17 itself. So, 17 is a prime number.

19 has its factors 1 and the number 19 itself. So, 19 is a prime number.

etc.

Enlargement (or reduction) is a transformation in which the size of an object is changed without changing its original shape. If the size of the object increase, we call it an enlargement and if the size of an object decrease, we call it a reduction.

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10 Math Problems officially announces the release of Quick Math Solver, an Android App on the Google Play Store for students around the world.

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The enlargement is made with the help of a fixed point called centre of enlargement and by the fixed ratio called scale factor i.e. the ratio of the corresponding sides of the image and object. 

As enlargement changes the size of the object, it will have no real sense in case of a point.