Question

Question 5 Write the smallest digit and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by 3: (a) ___6724 (b) 4765 ___2

Class 6 - Math - Playing with Numbers Page 57

Answer 1

 A number is divisible by 3 if its sum of all digits is divisible by 3


(a) ___6724    

6+7+2+4= 19 
if we add 2 then the digit is divisible by 3  ( 19+2=21)

2 is the smallest digit 
26724 = 2 + 6 + 7 + 2 + 4 = 21

if we add 8 then the digit is divisible by 3  ( 19+8=27)
8 is the largest digit 
26724 = 8+ 6 + 7 + 2 + 4 = 36


b)  (b) 4765 ___2

4+7+6+5+2=24
if we add 0 then the digit is divisible by 3  ( 24+0=24)

0 is the smallest digit 
4765 ___2 = 4+ 7+6+5+0+2= 24

if we add 9 then the digit is divisible by 3  ( 24+9=33)
9 is the largest digit 
4765 ___2 =4+ 7+6+5+9+2= 33
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Hope this will help you

Answer 2

Answer:

please mark as brilliant answer

Step-by-step explanation:

(a)

The number is given as _6724.

The number is divisible by 3 if the sum of its digits is divisible by 3.

Adding the digits of the given number,

6+7+2+4=19

If 2 is added to the above number then the number will become 21 which is divisible by 3 and also, 2 is the smallest number that can fill the missing space.

Now, if 8 is added to the given number then the number will become 27 which is divisible by 3 and 8 is largest number that can make the given number divisible by 3.

Therefore, the smallest number will be 2 which will form 26724 and the largest number will be 8 forming 86724.

(b)

The number is given as 4765_2.

The number is divisible by 3 if the sum of its digits is divisible by 3.

Adding the digits of the given number,

4+7+6+5+2=24

If 0 is added to the above number then the number will become 24 which is divisible by 3 and also, 0 is the smallest number that can fill the missing space.

Now, if 9 is added to the given number then the number will become 33 which is divisible by 3 and 9 is largest number that can make the given number divisible by 3.

Therefore, the smallest number will be 0 which will form 476502 and the largest number will be 9 forming 476592.