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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_01
\\February 16, 2024 1:27 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74
Encapsulate
math
LArge NUMBerS
reading and Writing Numbers Forming Numbers
Indian Place Value System Forming Numbers without repetition
C tL L tth th H t O Largest number formed by 2, 4, 5, 7, 8 = 87542
7 4 3 6 7 4 3 2 Smallest number formed by 3, 0, 7, 8, 2 = 20378
It is read as: Seven crore forty-three lakh sixty-seven Forming Numbers with repetition
thousand four hundred thirty-two. Largest number Smallest number
International Place Value System th H t O th H t O
HM tM M Hth tth th H t O 8 8 5 2 2 2 5 8
3 5 2 7 4 5 6 5 1
It is read as: Three hundred fifty-two million seven Repeating Writing Repeating Writing the
hundred forty-five thousand six hundred fifty-one biggest the other smallest other digits
digit digits in digit in ascending
descending order
Face Value and Place Value order
C tL L tth th H t O Face Place
4 2 5 7 5 9 8 5 value value rounding off Numbers
5 5 × 1 = 5
8 8 × 10 = 80 rounding off numbers to the nearest 10
9 9 × 100 = 900 9 > 5, round up
5 5 × 1000 = 5000 1 0 1 0 9
7 7 × 10000 = 70000
5 5 × 100000 = 500000 Remain Replace by 0
2 2 × 1000000 = 2000000 unchanged Increase by 1 or add 1 to 0
4 4 × 10000000 = 40000000 that is, 0 + 1 = 1
Thus, 10109 is rounded off to the nearest tens as
10110.
Successor and Predecessor
The successor of 7893521
= 7893521 + 1 = 7893522
The predecessor of 7893521 rounding off numbers to the nearest 100
8 > 5, round up
= 7893521 – 1 = 7893520
9 9 8 8 1
Remain Replace by 0
Comparing and Ordering Large Numbers unchanged Increase by 1 or add 1 to 8 that
is 8 + 1 = 9
C tL L tth th H t O Thus, 99881 is rounded off to the nearest
3 4 5 0 3 4 1 5 hundreds as 99900.
3 4 5 1 2 5 9 0
Same 0 < 1
34503415 < 34512590
rounding off numbers to the nearest 1000
6 > 5, round up
7 3 6 6 5 6
roman Numerals
Remain Replace by 0
unchanged Increase by 1 or add 1 to
roman Numeral I V X L C D M 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.
24 Mathematics-5

