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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-01
\\December 6, 2023 1:30 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

Encapsulate
math
LArge NUMBerS

reading and Writing Numbers Face Value and Place Value

L tth th H t O The face value of a digit is the digit itself.
3 6 7 4 3 2
It is read and written as: Three lakh sixty- 5 L tth th H t O Place Value
7
5 9 8 5
seven thousand four hundred thirty-two. 5 ones = 5 × 1 = 5
8 tens = 8 × 10 = 80
Predecessor and Successor 9 hundreds = 9 × 100 = 900
5 thousands = 5 × 1000 = 5000
The predecessor of 7,84,071 7 ten thousands = 7 × 10000 = 70000
= 7,84,071 – 1 = 7,84,070 5 lakhs = 5 × 100000 = 500000
The successor of 7,84,071
= 7,84,071 + 1 = 7,84,072
Comparing and Ordering Large Number

rounding off Numbers
L tth th H t O
rounding off Numbers to the Nearest 10 5 0 3 4 1 5
9 > 5, round up 5 1 2 5 9 0
1 0 1 0 9 Same 0 < 1
Remain Replace by 0 503415 < 512590
unchanged Increase by 1 or add 1
to 0, that is, 0 + 1 = 1 Forming Numbers
Thus, 10109 is rounded off to the nearest tens Forming Numbers without repetition
as 10110.
Largest number formed by 2, 4, 5, 7, 8 = 87,542
rounding off Numbers to the Nearest 100 Smallest number formed by 3, 0, 7, 8, 2 = 20,378
2 < 5, round down
9 9 8 2 1 Forming Numbers with repetition
Remain Replace by 0 tth th H t O th th H t O
unchanged Keep as it is 8 8 8 5 2 2 2 2 5 8
Thus, 99821 is rounded off to the nearest Repeating Writing the Repeating Writing the
hundreds as 99800. biggest digit other digits smallest digit other digits
in descending in ascending
rounding off Numbers to the Nearest 1000 order order
6 > 5, round up
7 3 6 6 5 6
roman Numerals
Remain Replace by 0
unchanged Increase by 1 or add 1 roman Numeral I V X L C D M
to 6, that is, 6 + 1 = 7 Hindu-Arabic Numeral 1 5 10 50 100 500 1000
Thus, 736656 is rounded off to nearest
thousands as 737000.

Brain Sizzlers
Write:

1. the greatest 5-digit number with 0 at ones place and without repeating the digits.
2. the smallest 6-digit number with 0 at ones place and without repeating the digits.

3. the greatest 6-digit number with 0 at hundreds place and without repeating the digits.

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