Knowing our Numbers: Class 6 Maths NCERT Chapter 1
Key Features of NCERT Material for Class 6 Maths Chapter 1 – Knowing Our Numbers
It is anything but difficult to include objects in enormous numbers nowadays. Additionally, we can discuss huge numbers with the assistance of reasonable number names.
Previously, individuals knew just little numbers. With the advancement of people, the requirement for the improvement of mathematics was acknowledged and subsequently, mathematics became further and quicker. Individuals figured out how to communicate huge numbers in images.
We can tally solid articles with the assistance of numbers. They help us to know which assortment of items is greater and thusly we can arrange things in increasing or decreasing request. In past classes, we have worked with numbers. We know their addition, deduction, multiplication and division. We have watched designs in number sequences. In this section, we will survey and reexamine what we have done before.
Take two numbers. The number with a more prominent number of digits is more noteworthy. Notwithstanding, in the event that the two numbers have similar number of digits, at that point the number which has a bigger leftmost digit is bigger. On the off chance that this digit likewise happens to be the equivalent, at that point we continue to next digit and utilize a similar measure, etc.
What number of numbers would you be able to make?
While forming numbers from the given digits, we should check cautiously whether the condition under which the numbers are to be formed is fulfilled or not. The given condition should basically be fulfilled. In this way, to form the biggest number from the given four digits 8,9,4,6 without rehashing a solitary digit, we should be mindful so as to utilize all the given four digits. In that capacity, the biggest number can have 9 just as the leftmost digit.
Take any three-digit number with various digits and interchange the digit at the hundreds spot and the digit at the ones spot. We find that the new number is more noteworthy than the former number, if the digit at the ones spot is more prominent than the digit at the hundreds spot and the new number is littler than the former number, if in the former number the digit at the ones spot is littler than the digit at the hundreds spot.
The littlest 2-digit number is 10 (ten). The biggest 2-digit number is 99. The littlest 3-digit number is (100). The biggest 3-digit number is 999. The littlest 4-digit number is 1000 (1,000). The biggest 4-digit number is 9999. The littlest 5-digit number is (10,000). The biggest 5-digit number is 99999. The littlest 6-digit number is 1,00,000 (one lakh). The biggest 6-digit number is 9,99,999. This carries on for higher digit numbers along these lines.
Revisiting place value
The spot value1 of a digit at ones spot is equivalent to the digit. The spot value of a digit at tens spot is acquired by increasing the digit by 10. Also, the spot value of a digit at hundreds spot, thousands spot, ten thousands spot,… is acquired by increasing the digit by 100, 1000, 10000, … , respectively.
The best five-digit number is 99,999. On the off chance that we add 1 to this number, we get 1,00,000 which is the littlest six-digit number. It is named as one lakh. It comes close to 99,999.
Additionally, 10 × 10,000 = 1,00,000
The best six-digit number is 9.99.999. Adding 1 to it, we get 10,00,000 which is the littlest seven-digit number. It is known as the ten lakh.
The best seven-digit number is 99.99,999. Adding 1 to it, we get 1.00.00.000 which is the littlest eight-digit number. It is called one crore.
Kindly note that
1 hundred = 10 tens
1 thousand = 10 hundreds = 100 tens
1 lakh = 100 thousands = 1000 hundreds
1 crore = 100 lakhs = 10,000 thousands
A guide in perusing and composing huge numbers
Shagufta’s indicators help us to peruse and compose enormous numbers. These are likewise valuable recorded as a hard copy the expansions of the numbers. These are as per the following:
T La La T Th Th H T O
Commas likewise help us in perusing and composing enormous numbers. In Indian arrangement of Numeration, we utilize ones, tens, hundreds, thousands and afterward lakhs and crores. Commas are utilized to stamp thousands, lakhs and crores. The principal comma comes following hundreds spot, second comma comes after ten thousands spot and the third comma comes after ten lakh place and markes crore.
There are a number of circumstances wherein we needn’t bother with the specific amount yet need just a gauge of this amount. Estimation means approximating an amount to the ideal exactness.
Estimating to the nearest tens by adjusting
The estimation is finished by adjusting the numbers to the nearest tens. In this manner, 17 is assessed as 20 to the nearest tens; 12 is assessed as 10 to the nearest tens.
Estimating to the nearest hundreds by adjusting
Numbers 1 to 49 are nearer to 0 than to 100. So they are adjusted to 0. Numbers 51 to 99 are nearer to 100 than to 0, as are adjusted to 100. Number 50 is equidistant both from 0 and 100 . It is standard to adjust it as 100.
Estimating to the nearest thousands by adjusting
Numbers 1 to 499 are closer to 0 than 1000, so these numbers are adjusted as 0. The numbers 501 to 999 are closer to 1000 than 0, so they are adjusted as 1000. Number 500 is usually adjusted as 1000.
Estimating results of number circumstances
There are no fixed standards for the estimation of the results of numbers. The method relies upon the degree of exactness required. What is essential to know how rapidly the gauge is required?
To estimate sum or difference
We round off the numbers and then find their sum or difference.
To estimate products
We round off the given numbers to their greatest places and then carry out the multiplication or division.
At the point when we need to complete more than one first turn everything inside the brackets into a single operation, we use brackets to avoid confusion. We number and at that point do the operation outside.
We expand brackets deliberately keeping up a track of steps.