Page 29 - Math Genius C4

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\\September 30, 2025 9:37 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

Mind Map
math Creative Thinking
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 L tth th H T O
It is read and written as: Three lakh sixty- 5 7 5 9 8 5 Face Value Place Value
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 Numbers

rounding off Numbers tth th H T O
3 2 6 5 6 iii
rounding off Numbers to the Nearest 10 3 2 3= 5< 2 ii
9 > 5, round up 3 2 6 8 2 iv
1 0 1 0 9 3 2 0 8 2 i
Remain Replace with 0 SameSame
unchanged Increase by 1 or add 1 32,082 < 32,352 < 32,656 < 32,682
to 0, that is, 0 + 1 = 1
Thus, 10109 is rounded off to the nearest ten Forming Numbers
as 10110. Forming Numbers without repetition
Greatest 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 with 0 Greatest number formed Smallest number formed
unchanged Keep as it is by 2, 5, 8 by 2, 5, 8
Thus, 99821 is rounded off to the nearest tth th H T O th th H T O
hundred a 99800. 8 8 8 5 2 2 2 2 5 8

rounding off Numbers to the Nearest 1000 Repeating the Writing the Repeating the Writing the
6 > 5, round up biggest digit other digits smallest digit other digits
7 3 6 6 5 6 in descending in ascending
order order
Remain Replace with 0
unchanged Increase by 1 or add 1 roman Numerals
to 6, that is, 6 + 1 = 7
Thus, 736656 is rounded off to the nearest roman Numeral I V X L C D M
thousand as 737000. Hindu-Arabic Numeral 1 5 10 50 100 500 1000

Challenge Question Critical Thinking
1. Find the greatest 5-digit number with 0 in the ones place, without
repeating any digits.
2. Find the smallest 6-digit number with 0 in the ones place, without repeating any digits.

3. Find the greatest 6-digit number with 0 in the hundreds place, without repeating any digits.

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