October 08, 2020
Key Points of Knowing Our Numbers
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| Knowing Our Numbers Key Points Class - 6 |
Knowing Our Numbers Key Points Class - 6
* Given two numbers, one with more
digits is the greater number. If the number of digits in two given numbers is the
same, that number is larger, which has a greater
leftmost digit.
* Informing 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.
* The smallest four-digit number is 1000 (one thousand), It follows the largest three-digit number 999. Similarly, the smallest five-digit number is 10,000. It is ten thousand and follows the largest four-digit number 9999. Further, the smallest six-digit number is 1,00,000. It is one Lakh and follows the largest five-digit number 99,999. This carries on for higher digit numbers in a similar manner.
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* Use of commas helps in reading and writing large numbers. In the Indian system of numeration, we have commas after 3 digits starting from the right and thereafter every 2 digits. The commas after 3rd, 5th, and digits to separate thousand, lake, and crore respectively. In the International system of numeration, commas are placed after every 3 digits starting from the right. The Commas after 3rd and 6th digits to separate thousand and million respectively.
* Estimation
involves approximating a quantity to accuracy required. Thus, 3,107 may be
approximated to 3,108 or to 3,000, i.e., to the nearest hundred or to the
nearest thousand depending on our need
* In a number of situations, we have to estimate the
outcome of number operations. This is done by rounding off the numbers involved
and getting a quick, rough answer.
* Use of numbers in Indo-Arabic system and International system.
* Estimation and Rounding off Numbers: We usually round off the numbers to the nearest 10's, 100's, 1000's, 10000's ... etc.
Introduction of large numbers:
Write the smallest and greatest of all two-digit, three-digit, four-digit, five-digit, six" digit, seven-digit, eight-digit numbers.
Sol. The smallest two-digit number is 10.
The greatest two-digit number is 99.
The smallest three-digit number is 100.
The greatest three-digit number is 999.
The smallest four-digit number is 1000.
The greatest four-digit number is 9999.
The smallest five-digit number is 10000.
The greatest five-digit number is 99999.
The smallest six-digit number is 100000.
The greatest six-digit number is 999999.
The smallest seven-digit number is 1000000.
The greatest seven-digit number is 9999999.
The smallest eight-digit number is 10000000.
The greatest eight digit number is 99999999.
Place value of large numbers: Use of 'comma' helps us in reading and writing of large numbers. Ex. 95,940 ; 1, 90, 407; 95,04,159; 1,82,09,370.
1 crore = 100 lakhs = 10,000 thousands
1 lakh = 100 thousands = 1000 hundreds
10 lakhs = 1 million
1 crore 10 million
10 crore 100 million
100 crore 1 billion
* Large numbers used in daily life situations:
The unit of length is meter.
The unit of weight is the kilogram.
The unit of volume is the liter. The unit of time is
second.
* We use meter length of a pen. We use kilometres
for length of a saree.
* measuring the distance between We use millimeter
for measuring the thickness of paper.
10 millimetres 1 Centimetre
100 centimetres 1 meter
1000 meters 1 kilometre
1 kilometre = 1000 x 100 x 10 millimetres
10,00,000 mm
1 kilogram = 1000 gms and 1 gram 1000
milligrams
1 kilolitre = 1000 litres
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