Look at the adjoining protractor in which a straight line AOB is divided into 180 small parts. Each part is a degree or 1°.
The most common unit of measurement of an angle is the degree. The
system of measuring angles in degrees, minutes, and seconds is called Degree Measure or Sexagesimal System.
In the circular system of measurement of angles, the unit of angle is radian (c). A radian, written as 1c is the measure of an angle subtended at the centre of a circle by an arc equal to the length of its radius r.
By measuring we can get the value of 1c = 57.27° nearly.
To check whether a number is exactly divisible by 2, or 3, or 5,
or 7, etc. we have to go through the actual division. But, it is time-consuming
and tedious performing actual division all the time. There are certain rules
for the test of divisibility of any number by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, or
11 without performing the actual division. They are called divisibility rules.
Here are the divisibility rules of any number by 1, 2, 3, 4, 5,
6, 7, 8, 9, 10, and 11.
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.
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.
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.
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.
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 ......}
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.
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.
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