5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1
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Solution:-
True.
Left Hand Side = 5555
Right Hand Side = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1
= 5000 + 500 + 50 + 5
= 5555
Left Hand Side = Right Hand Side
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5555 = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1
Solution:-
True.
Left Hand Side = 5555
Right Hand Side = 5 × 1000 + 5 × 100 + 5 × 10 + 5 × 1
= 5000 + 500 + 50 + 5
= 5555
Left Hand Side = Right Hand Side
39746 = 3 × 10000 + 9 × 1000 + 7 × 100 + 4 × 10 + 6
Solution:-
True.
Left Hand Side = 39746
Right Hand Side = 3 × 10000 + 9 × 1000 + 7 × 100 + 4 × 10 + 6
= 30000 + 9000 + 700 + 40 + 6
= 39746
Left Hand Side = Right Hand Side
82546 = 8 × 1000 + 2 × 1000 + 5 × 100 + 4 × 10 + 6
Solution:-
False.
Left Hand Side = 82546
Right Hand Side = 8 × 1000 + 2 × 1000 + 5 × 100 + 4 × 10 + 6
= 8000 + 2000 + 500 + 40 + 6
= 10,546
Left Hand Side ≠ Right Hand Side
532235 = 5 × 100000 + 3 × 10000 + 2 × 1000 + 2 × 100 + 3 × 10 + 5
Solution:-
True.
Left Hand Side = 532235
Right Hand Side = 5 × 100000 + 3 × 10000 + 2 × 1000 + 2 × 100 + 3 × 10 + 5
= 5,00,000 + 30,000 + 2000 + 200 + 30 + 5
= 5,32,235
Left Hand Side = Right Hand Side
XXIX = 31
Solution:-
False.
Where, X = 10
IX = 9
So, XXIX = 10 + 10 + 9
= 29
LXXIV = 74
Solution:-
True.
Where, L = 50
X = 10
IV = 4
So, LXXIV = 50 + 10 + 10 + 4
= 74
The number LIV is greater than LVI.
Solution:-
False.
Where, L = 50
IV = 4
VI = 6
So, LIV = 50 + 4 = 54
LVI = 50 + 6
Therefore, 54 < 56
Hence, LIV < LVI
The numbers 4578, 4587, 5478, 5487 are in descending order.
Solution:-
False.
In the question, the arrangement of the numbers in ascending order.
Descending order of the given number = 5487, 5478, 4587, 4578.
The number 85764 rounded off to nearest hundreds is written as 85700.
Solution:-
False.
The number 85764 rounded off to nearest hundreds is written as 85800.
Estimated sum of 7826 and 12469 rounded off to hundreds is 20,000.
Solution:-
True.
The number 7826 rounded off to nearest hundreds is written as 7800.
The number 12469 rounded off to nearest hundreds is written as 12500
So, sum of numbers after rounded off to hundreds = 7800 + 12500 = 20,300
Therefore, 20,300 is nearest to 20,000.