400

CXIV

The ascending order of the given numbers are as follows: 1462 <1562 < 2605 < 3164

2943

According to the question,
Difference of 18 and 6 = (18 - 6)
Now, dividing this difference by 4, we have (18 - 6) ÷ 4
which is the required expression.

We have, 5281\(\times\)3491
5281 ⟶ 5000 [rounding off to nearest thousands]
3491 ⟶ 3500 [rounding off to nearest hundreds]
∴ Estimated product = 5060 \(\times\) 3500 = 1,75,00,000

∵12904 ⟶ 13000[rounding off to nearest thousands]
2888 ⟶ 3000 [rounding off to nearest thousands]
∴ Estimated sum = 13000 + 3000 = 16000

∵ 87⟶ 90 [rounding off to nearest tens]
313⟶300 [rounding off to nearest hundreds]
∴ Estimated product = 90 \(\times\) 300 = 27,000

We have, 27 \(\times\) 105 = 27 \(\times\) (100 + 5) = 27 \(\times\) 100 + 27 \(\times\) 5 = 2700 + 135 = 2835 [∵ 105 =100+5]

In 4235, hundred digit is 2 < 5.
∴ The required rounded number 4235 = 4000

Rs.10636875

36436

12356

808

Numbers after commas are as follows: 7, 52, 21, 302.

10000 -1 = 9999

Here, descending order of the given digits is 8, 7, 4, 2.
∴ Greatest number = 8742
and ascending order of the given digits is 2, 4, 7, 8.
∴ Smallest number = 2478.

59785 is the greatest and 18 is the smallest.

For getting the smallest number, firstly we convert the numbers into ascending order.
The smallest 4-digit number is 1479.
For getting greatest number, firstly we convert the numbers into descending order.
The greatest 4-digit number is 9741.

Given, numbers are 819, 5240, 890 and 6249.
To convert numbers into descending order, we arrange numbers greatest to the smallest.
Now, descending order is 6249 > 5240> 890> 819.

Both 97632 and 96543 have same number of digits i.e. five. Now, compare them by looking at the digits at ten thousand place, which is 9 for both the numbers.
Next, compare the second digit from the left. Here, it is 7 in 97632 and 6 in 96543.
Since, 7> 6
So, 97632> 96543

29 is the smallest as it contains only 2 digits. 1234 is the greatest as it contains four digits, which is the maximum number of digits amongst all.

Number Name: Two crore fifty seven lakh thirty four thousand five hundred forty three.
65,32,75,829  6  5  3  2  7  5  8  2  9
Sixty five crore thirty two lakh seventy five thousand eight hundred twenty nine.

1234524

54 \(\times\) 105 = 54 \(\times\) (100 + 5)
= 5400 + 54 \(\times\) 5 = 5400 + 270 = 5670

We have, 8739 \(\times\)102 = 8739 \(\times\) (100 + 2)
= 8739 \(\times\) 100 + 8739 \(\times\) 2
= 873900 + 17478 = 891378

(i) 5981 rounded off to nearest tens = 5980
4428 rounded off to nearest tens = 4430
∴ Estimated product = 5980 \(\times\) 4430 = 26491400
(ii) 5981 rounded off to nearest hundreds = 6000
4428 rounded off to nearest hundreds = 4400
∴ Estimated product = 6000 \(\times\) 4400 = 26400000

Digits in ascending order are 0,1,2,3,4,5,6,7,8,9 and digits in descending order are 9,8,7,6,5,4,3,2,1, 0. Also, we know that 0 can never be taken at the leftmost place.
Keeping the digit 9 at hundreds place, we can fill thousands, tens and ones place by remaining digits.
Greatest number

[Keeping the greatest digit i.e. 8, 7 and 6 at thousands, tens and ones place]
Smallest number 

[Keeping the smallest digit l.e. 1, 0 and 2 at thousands, tens and ones place]

Given digits are 8, 5 and 1.
Here, descending order of the given digits is 8, 8, 5, 1. [∴ greatest digit 8 is taken twice]
∴ Greatest 4-digit number = 8851
and ascending order of the given digits is 1, 1, 5, 8. [∴ smallest digit 1 is taken twice]
∴ Smallest 4-digit number = 1158.

We have, 4536, 4892, 4370, 4452
Here, each of the given numbers is containing 4-digits and their digits at thousand places are also same. So, we compare the hundreds place digit.

∵ 8>5>4>3
∴ The greatest number is 4892 and the smallest number is 4370.