4th Class Mathematics Large Numbers Large Numbers

Large Numbers

Category : 4th Class

 

Large Numbers

 

Synopsis

 

  • The ten digits in the number system are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
  • 0 is the smallest 1 - digit number and 9 is the largest 1 -digit number.

 

No. of digits

Smallest Counting Number

Largest Counting Number

1

1

9

2

10

99

3

100

999

4

1000

9999

5

10000

99999

6

100000

999999

 

Place Value Chart:

 

Lakshs Period

Thoudands periods

Ones period

Ten lakhs

Lakhs

Ten Thousands

Thousands

Hundreds

Tens

Ones

 

10 ones

=  1 ten

10 tens

= 1 hundred

10 hundreds

= 1 thousands

10 thousands

= 1 ten thousands

10  ten thousands

= 1 lakh

10 lakhs

= 1 ten lakh

 

1000 ones

= 1 hundred

100 tens

= 1 thousand

100 thousands

= 1 lakh

 

  • While writing large numbers, the digits of each period are separated using a comma.
  • g., 694537 is written as 6, 94, 537.

 

Lakhs

period

Thousand

period

Ones

period

TL

L

T. Th

Th

H

T

O

 

6

9

4

5

3

7

 

  • Place value of a digit is the product of the digit and its place. (Position in the place value chart.)

e.g., In  the place value of 9 is as 9 is in the ten thousands place.

 

  • Face value of a number is the value of the number itself.

e.g., In  the face value of 5 is 5 and not 500.

 

Rules for comparison of numbers:

 

  • Rule 1: A numeral with more digits is greater.

e.g.,

 

  • Rule 2: If two numbers have the same number of digits, the numeral having the greater digit at the leftmost place is greater.

 

e.g.,

        

 

  • Rule 3: If the leftmost digits of the given numbers are the same, consider the next digit from the left and compare. The number with the greater digit in this place is greater. e.g.,

e.g.,  

        

 

Ordering of numbers:

 

(a) Ascending order:

The numbers arranged from the least to the largest are said to be in ascending order.

e.g., 2093, 5146, 7001, 8965, 9900 are in ascending order.

 

(b) Descending order:

The numbers arranged from the largest to the least are said to be in descending order.

e.g. 9900, 8965, 7001, 5146, 2093 are in descending order.

 

Estimation:

 

Rounding numbers to get their approximate values to a specified level of approximation is called estimation.

We use the approximation sign  to stand for "approximately equal to".

The estimated value is different from the actual value.

The best estimate is the one in which the difference between the estimated value and the actual value is the least.

 Rounding numbers:

 

Place to which a number is to be estimated

Place of the digit to be considered

Value of the digit considered

What must be done

Examples

 

 

 

10

 

 

 

 

 

 

Ones

 

 

 

0-4

Replace ones digit with 0

so, 23 rounded to the nearest 10 is 20.

5-9

Replace ones digit with 0. Add 1 to tens digit .

So, 142 rounded to the nearest 100 is 100

 

 

 

 

100

 

 

 

 

Tens

0-4

Replace ones and tens digits with 0.

So, 142 rounded to the nearest 100 is 100.

5-9

Replace ones digit with 0. Add 1 to hundred digit.

So, 161 rounded to the nearest 100 is 200

 

 

 

 

1000

 

 

 

 

Hundreds

0-4

Replace ones, tens and hundreds digits with 0.

So, 3234 rounded to the nearest 1000 is 3000.

5-9

Replace one, tens and hundreds digits with 0. Add 1 to thousands digit.

So, 35.9 rounded to the nearest 1000 is 4000.

 

Rules for rounding off numbers:

 (i) While rounding off numbers, it is important to note the place value which has to be rounded off.

(ii) Look at the digit that is after the digit in that place value.

(iii) If the digit is greater than or equal to 5, we round up the number.

(iv) If the digit is lesser than 5, we round down the number.

Other Topics

Notes - Large Numbers
  15 10



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