# 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.

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##### Notes - Large Numbers

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