without actual division, obtain the quotient when the difference of the numbers 569 and 965 is divided by 11 and 4.
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Answer:
The numbers 569 and 965
To find:
Without actual division, obtain the quotient
when the difference of the numbers 569 and 965 is divided by (a)11 (b)4
Solution:
From given, we have,
The numbers 569 and 965
965 = 9 x 100+ 6 x 10 + 5
569 = 5x100 + 6 × 10 + 9
965-569 = (9 × 100 + 6× 10 + 5) - (5 x 100
+ 6 × 10 + 9)
= (9-5) × 100 + (6 - 6) × 0+ (5 – 9)
= 4 x 100+ 0-4
= 4 (100 - 1)
= 4 (99)
(a) 11
= 4 × 9 × 11
= 36 x 11 When divided by 11, the quotient is 36
(b) 4
= 4 × 9 × 11
= 99 x 4
When divided by 4, the quotient is 99
Therefore, the difference of the numbers 569 and 965 is divided by (a)11 is 36 (b)4 is 99
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