What Have We Discussed ?
1.Given two numbers, the one with more digits is the
2. In forming numbers from given digits, we should be careful to see if the conditions under which the numbers are to be formed are satisfied. Thus, to form the greatest four digit number from 7, 8, 3, 5 without repeating a single digit, we need to use all four digits, the greatest number can have only 8 as the leftmost digit.
3. The smallest four digit number is
Further, the smallest six digit number is
4. Use of
5. In the Indian system of numeration, we have commas after 3 digits starting from the right and thereafter every 2 digits. The commas after 3, 5 and 7 digits separate thousand, lakh and crore respectively.
6. In the International system of numeration, commas are placed after every 3 digits starting from the right. The commas after 3 and 6 digits separate
7. Large numbers are needed in many places in daily life. For example, for counting number of students in a school, number of people in a village or town, money paid or received in large transactions (paying and selling), in measuring large distances say between various cities in a country or in the world and so on.
8. Remember kilo shows 1000 times larger, Centi shows 100 times smaller and milli shows 1000 times smaller. Thus, 1 kilometre =
Indian place value chart
Crores | Lakhs | Thousands | Ones | |||||
---|---|---|---|---|---|---|---|---|
Ten Crore | Crore | Ten Lakh | Lakh | Ten Thousand | Thousand | Hundred | Tens | Ones |
10,00,00,000 | 1,00,00,000 | 10,00,000 | 1,00,000 | 10,000 | 1,000 | 100 | 10 | 1 |
International place value chart
Millions | Thousands | Ones | ||||||
---|---|---|---|---|---|---|---|---|
Hundred Million | Ten Million | Million | Hundred Thousand | Ten Thousand | Thousand | Hundred | Tens | Ones |
100,000,000 | 10,000,000 | 1,000,000 | 100,000 | 10,000 | 1,000 | 100 | 10 | 1 |
Units conversion table
Mnemonic | Prefix | Relation with basic unit | Short Form | Scale |
---|---|---|---|---|
King | Kilo | 1 Kilo=1000 units | km =kilometer kL=kiloliter kg=kilogram | 10x10x10 LARGER than a unit |
Henry | Hecto | 1 hecto=100 units | hm=hectometer hL=hectoliter hg=hectogram | 10x10x LARGER than a unit |
Died | Deca | 1 deca=10 units | dam=decameter daL=decaliter dag=decagram | 10x LARGER than a unit |
By | Basic Unit | 1 unit | m=meter L=liter g=gram | Meter (length) Liter (liquid volume) Gram (mass/weight) |
Drinking | Deci | 10 deci = 1 unit | dm=decimeter dL=deciliter dg=decigram | 10x SMALLER than a unit |
Chocolate | Centi | 100 centi = 1 unit | cm=centimeter cL=centiliter cg=centigram | 10x10x SMALLER than a unit |
Milk | Milli | 1000 milli = 1 unit | mm=millimeter mL=milliliter mg=milligram | 10x10x10x SMALLER than a unit |