Notes

100 = 10^2 1000 = 10^3 10000 = 10^4 200 = 2*10^2 2000 = 2*10^3 20000 = 2*10^4 321 = 321 * 10^0 = 32.1 * 10^1 = 3.21 * 10^2 = 0.321 * 10^3 = 0.0321 * 10^4 Standard exponent form of 321 = 3.21 * 10^2 1 day = 86400 seconds = 8.64 * 10^4 1 week = 604,800 seconds = 6.048 * 10^5 1 month = 2,592,000 seconds = 2.592 * 10^6 1 year = 31,536,000 seconds = 3.1536 * 10^7 Speed of light = 300,000 km per second = 3 * 10^5 km/s Time taken by light to travel from Sun to Earth = 500 seconds = 5 * 10^2 s Distance between Sun and Earth = 3 * 10^5 * 5 * 10^2 = 15 * 10^7 = 1.5 * 10^8 km Distance travelled by light in a year = 3 * 10^5 * 3.1536 * 10^7 = 9.4608 * 10^12 km 

John has 30 chocolates. He wants to give a third of them to Tom, a fifth of them to David, a sixth of them to Mary and three-tenths to James. How many will each get?  John has 17 chocolates. He wants to give two-thirds of them to Tom, a sixth of them to David and a ninth of them to James. How many will each get? Suppose you have two job offers. The first company offers a salary of 1 million dollars a month. The second company offers a salary of 1 cent on day 1, 2 cents on day 2, 4 cents on day 3, 8 cents on day 4 and so on. (The amount gets doubled every day.) What you get on day 31 will be your final salary. Which offer will you accept? NAASATO VIDYATE BHAAVAH NAA BHAAVO VIDYATE SATAH UBHAYO-RAPI DRUSHTONTAH TVANAYOS TATTVA-DARSHIBHIH //16// AVINAASHI TU TADVIDDHI YENA SARVAM IDAM TATAM VINAASHAM AVYAYA-SYAASYA NA KASCHIT KARTUM ARHATI //17// ANTAVANTA IME DEHAA NITYASYOKTAAH SHAREERINAH ANAAShINO’PRAMEYASYA TASMAAD YUDHYASVA BHAARATA //18// YA ENAM VETTI H...

Look at this number: 13. Find its square. Reverse the given number. Find its square. What do you observe? Multiply 21978 by 4. What do you observe? 1^3 = ?, 5^3 = ?, 3^3 = ?, 1^3+5^3+3^3 = ? 3^3 = ?, 7^3 = ?, 0^3 = ?, 3^3+7^3+0^3 = ? 3^3 = ?, 7^3 = ?, 1^3 = ?, 3^3+7^3+1^3 = ? 4^3 = ?, 0^3 = ?, 7^3 = ?, 4^3+0^3+7^3 = ? 1*9 + 1 + 9 = ? 2*9 + 2 + 9 = ? 3*9 + 3 + 9 = ? 4*9 + 4 + 9 = ? 5*9 + 5 + 9 = ? 6*9 + 6 + 9 = ? 7*9 + 7 + 9 = ? 8*9 + 8 + 9 = ? 9*9 + 9 + 9 = ? 1089*9 = ? What do you observe? Will this happen with 10989*9, 109989*9 and 1099989 also? Check. (This pattern holds good for all numbers in which 10 and 89 are separated by any number of 9s.)

Read this number: 100 How many letters are there in its number name? 7 The number is 100 and the number of letters in its number name is 7. Now tell me a number in which the number of letters in the number name is equal to the number itself. Answer: 4 Read this number: 100 How do you spell it? H U N D R E D Are the letters in the alphabetical order? Of course, no. Now, tell me a number name in which the letters are in the alphabetical order. Hint 1: It's a two-digit number. (There is only one number in whose name the letters are in the alphabetical order.) Hint 2: It has zero in the Ones place. Two-digit numbers having zero in the Ones place: 10, 20, 30, 40, 50, 60, 70, 80, 90 Answer: 40 (F O R T Y) What is the square of 12? What is the number you get when you reverse the digits in this? What is its square? What do you notice?

Names of Places in terms of Exponents of 10 10^-5 = 1/100000 = 0.00001 [Hundred Thousandths] 10^-4 = 1/10000 = 0.0001 [Ten Thousandths] 10^-3 = 1/1000 = 0.001 [Thousandths] 10^-2 = 1/100 = 0.01 [Hundredths] 10^-1 = 1/10 = 0.1 [Tenths] 10^0=1 [Ones] 10^1=10 [Tens] 10^2=100 [Hundreds] 10^3=1000 [Thousands] 10^4=10000 [Ten Thousands] 10^5=100000 [Hundred Thousands] 10^6=1000000 [Millions] 10^7=10000000 [Ten Millions] 10^8=100000000 [Hundred Millions] 10^9=1000000000 [Billions] 10^10=10000000000 [Ten Billions] 10^11=100000000000 [Hundred Billions]

YAM HI NA VYATHA YAN TYETE PURUSHAM PURUSHAR-SHABHA SAMA DUHKHA SUKHAM DHEERAM SO’MRUTA-TVAAYA KALPATE //2-15//

NA KAANKSHE VIJAYAM KRISHNA NA CHA RAAJYAM SUKHAANI CHA KIM NO RAAJYENA GOVINDA KIM BHOGAIR-JEEVITENA VAA //1-32// MAATRAA SPARSHAA STU KAUNTEYA SHEETO-SHNA SUKHA DUHKHA DAAH AAGAMAA PAAYINO NITYAAH TAAM STHITI KSHASVA BHAARATA  //2-14// Compare $1000 and $100. $1000 is ten times $100. $100 is a tenth of $1000. (If you divide $1000 into 10 parts, each part will be equal to $100.) Compare $100 and $10. $100 is ten times $10. $10 is a tenth of $100. Compare $10 and $1. $10 is ten times $1. $1 is a tenth of $10. Compare a dollar and a dime. A dollar is ten times a dime. A dime is a tenth of a dollar. Compare a dime and a penny. A dime is ten times a penny. A penny is a tenth of a dime.

DEHINO’SMIN YATHAA-DEHE KOUMAARAM YAUVANAM JARAA TATHAA DEHAANTARA PRAAPTI-HI DHEERAS-TATRA NA MUHYATI //13// Inside the body, there is SOUL. Body is temporary. It becomes unusable after some years. It is called death. Then it is burnt or buried. But the SOUL inside is permanent. It has no death. When the body is burnt or buried, the SOUL continues its existence. The body is just like a case or outer cover or clothing for the SOUL. Soul goes through 4 stages: 1. Koumaram (childhood) 2. Yauvanam (youth) 3. Jaraa (old age) 4. Dehaantara (change of body) When the soul changes body, ignorant people call it death and they feel sad. But  people who are wise do not worry about death . They know the soul has only gone into another body, it is only a change of clothing. Hinduism/Hindus: Bhagavad Gita Islam/Muslims: Koran Judaism or Zionism/Jews: The Old Testament (Part I of the Bible) In the Old Testament, it is written that God will send His Messenger to Earth. This Messenger is called Mes...

NA TVE-VAAHAM JAATU-NAASAM NATVAM-NEME JANAA-DHIPAAH NA CHAIVA NA BHAVISH-YAAMAH SARVE VAYA MATAH PARAM //12// DEHINO’SMIN YATHAA-DEHE KOUMAARAM YAUVANAM JARAA TATHAA DEHAANTARA PRAAPTI-HI DHEERAS-TATRA NA MUHYATI //13// Inside the body, there is SOUL. Body is temporary. It becomes unusable after some years. It is called death. Then it is burnt or buried. But the SOUL inside is permanent. It has no death. When the body is burnt or buried, the SOUL continues its existence. The body is just like a case or outer cover or clothing for the SOUL. Soul goes through 4 stages: 1. Koumaram (childhood) 2. Yauvanam (youth) 3. Jaraa (old age) 4. Dehaantara (change of body) When the soul changes body, ignorant people call it death and they feel sad. But people who are wise do not worry about death . They know the soul has only gone into another body, it is only a change of clothing. Hinduism/Hindus: Bhagavad Gita Islam/Muslims: Koran Judaism or Zionism/Jews: The Old Testament (Part I...