Let the number be x
According to the question,
{tex}\frac{1}{2}\left( {x - \frac{1}{2}} \right) = \frac{1}{8}{/tex}
∴ {tex}\frac{1}{2}\left( {\frac{{2x - 1}}{2}} \right) = \frac{1}{8}{/tex}
∴ {tex}\frac{{2x - 1}}{4} = \frac{1}{8}{/tex}
∴ {tex}\frac{{2x - 1}}{4} \times 8 = \frac{1}{8} \times 8{/tex}. . . . [Multiplying both sides by 8]
∴ (2x – 1) 2 = 1
∴ 4x – 2 = 1
∴ 4x = 1 + 2 . . . . [Transposing – 2 to R.H.S.]
∴ 4x = 3
∴ {tex}x = \frac{3}{4}{/tex}. . . . [Dividing both sides by 4]
Hence, the desired number is {tex}\frac{3}{4}{/tex}.
Verification
{tex}\frac{1}{2}\left( {\frac{3}{4} - \frac{1}{2}} \right){/tex}
{tex} = \frac{1}{2}\left( {\frac{{3 - 2}}{4}} \right){/tex}
{tex} = \frac{1}{2}\left( {\frac{1}{4}} \right){/tex}
{tex} = \frac{1}{8}{/tex}

Conservation of resources is the ethical use and protection of valuable resources, such as trees, minerals, wildlife, water and others. It focuses on maintaining the natural world in order to protect the sources of resources.

A democratic country needs a Constitution, because the Constitution serves several purposes. First, it lays out certain ideals that form the basis of the kind of country that we as citizens aspire or live in. Or, put another way, a Constitution tells us what the fundamental nature of our society is. A country is usually made up of different communities of people who share certain beliefs but may not necessarily agree on all issues. A Constitution help serve as a set of rules and principles that all persons in a country can agree upon as the basis of the way in which they want the country to be governed. This includes not only, the type of government but also an agreement on certain ideals that they all believe the country should uphold.

A galaxy is a sprawling space system which is composed of stars, dust, interstellar gas, stellar remnants, and dark matter and all held together by gravity. The word ‘Galaxy’ is termed from a Greek word ‘galaxias’. It is tough to tell that how big the universe is! The universe has a large number of galaxies, and each carries millions of stars which are bounded by a unique force known as gravitational force. There are approximately 70,000 million stars in the universe. The solar system where our earth exists is in Milky Way Galaxy.

Near the burning gas stove, there is heat in the air.  Due to the radiation of heat, the thin plastic polymer can get heated up and melt easily.  Due to this there will be holes in the bag.  If there is any thing in the bag, it will get spoilt or polluted.

Also the vapour of plastic bags produce toxic gases.  It is not good for health.

9² = 81
5² + 7² = 25 + 49 = 72
9² ≠ 5² + 7²
SO, 5,7, and 9 is not a Pythagorean triplets

The Preamble has much Constitutional significance. These are

1. The Preamble outlines the basic character of the State and represents the essence, the philosophy and the ideals of the entire Constitution of India. Over a period of time, many amendments have been made to the Constitution, but the basic features cannot be altered.
2. The Preamble consists of five basic features of the Constitution - Sovereign, Socialist, Secular, Democratic and Republic. This reminds people of the four ideals of the State, i.e. India should secure to all its citizens Justice, Liberty, Equality and Fraternity.
3. In order to interpret the articles, it is necessary to refer often to the Preamble which should form the basis for interpretation. This is because disputes and ambiguities are to be resolved in a written Constitution.
4. The Preamble is not justifiable, i.e. its provisions cannot be enforced through a court of law. However, it gives proper direction to achieve a common goal to the government of a country.

soil pollution can be prevented by
1. Cultivation by natural fertilisers and not using the toxic pesticides and artificial fertilisers.
2. avoid dumping of industrial waste, acidic precipitates etc in to the soil.
3. avoid using detergents.
4. high concentrations of lead, arsenic, nickel, cobalt, and cadmium should be avoided.
5. Planting more trees

Dates act as a milestone. They help us to differ different types of events, they tell us about the event ,s positionand different development which took place. They also act as a landmark due to their long term period

Fundamental rights are mentioned in part-III of the constitution under article 12-35. These are the basics of democracy and only given to citizens. Incase of the violation of Fundamental Rights, a citizen can directly access to the judiciary.
In India, the following 6 fundamental rights are provided to Indian citizens-
(i) Right to equality (Art 14-18)- every person is equal in the eyes of law.It means that laws apply in the same manner to all.
(ii) Right to Freedom(Art 19-22) - It is also known as 'cluster of rights'. Freedom of sppech & expression, to assemble in peaceful manner, to form associations and unions. to reside any where in the country, to practice any profession, all are the part of this fundamental right.
(iii) Right against exploitation(Art 23-24)- As per constitution human trafficing, begar and child labour are prohibited.
(iv) Right to Freedom of Religion(Art 25-28)- Every person has the right to profess, practice and propogate any of the religions.
(v) Cultural & Educational Rights(Art 29 & 30)- Any section of the citizens with a distinct language and culture have a right to conserve it.
(vi) Right to constitutional remedies(Art 32)- Thus right makes other rights effective. As per this Fundamental right, if any FR is violated we can directly access to the supreme court.