Find the least number that should be added to the given number so that the new number should be divisible by the number in the bracket:
(a) 432 (5)
(b) 4621 (3)
(c) 999 (2)
(d) 7653 (10)
(e) 3047 (9)
(f) 9324 (5)
Answer (2)
To find the least number that should be added to a given number so that the new number is divisible by another number, you can use the following method:
Find the Remainder: Divide the given number by the number in parentheses and find the remainder.
Subtract Remainder from Divisor: Subtract the remainder from the divisor to find the smallest number that should be added.
Let's go through each part of the question step-by-step:
(a) 432 (5)
Divide 432 by 5: 432 ÷ 5 = 86 remainder 2
Subtract the remainder from 5: 5 − 2 = 3 So, the least number that should be added to 432 is 3 .
(b) 4621 (3)
Divide 4621 by 3: 4621 ÷ 3 = 1540 remainder 1
Subtract the remainder from 3: 3 − 1 = 2 Thus, the least number that should be added to 4621 is 2 .
(c) 999 (2)
Divide 999 by 2: 999 ÷ 2 = 499 remainder 1
Subtract the remainder from 2: 2 − 1 = 1 The least number that should be added to 999 is 1 .
(d) 7653 (10)
Divide 7653 by 10: 7653 ÷ 10 = 765 remainder 3
Subtract the remainder from 10: 10 − 3 = 7 Hence, the least number that should be added to 7653 is 7 .
(e) 3047 (9)
Divide 3047 by 9: 3047 ÷ 9 = 338 remainder 5
Subtract the remainder from 9: 9 − 5 = 4 Therefore, the least number that should be added to 3047 is 4 .
(f) 9324 (5)
Divide 9324 by 5: 9324 ÷ 5 = 1864 remainder 4
Subtract the remainder from 5: 5 − 4 = 1 So, the least number that should be added to 9324 is 1 .
By following these steps, you can ensure that the new number obtained by adding the least number is divisible by the given number.
The least numbers to be added for divisibility are as follows: 3 for 432, 2 for 4621, 1 for 999, 7 for 7653, 4 for 3047, and 1 for 9324. Each calculation involves determining the remainder and subtracting it from the divisor.
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