Math, asked by niteshtiwari805, 1 year ago

in each of the following numbers, replace * by the smallest number to make it divisible by 3 ? =54*106

Answers

Answered by ArchitectSethRollins
148
Hi friend
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Your answer
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Given number => 54*106

We have to replace * with such a number that this number should be divisible by 3.

We know that,
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If the sum of the digits of a number is divisible by 3 then the number will be divisible by 3.

Here,
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5+4+1+0+6 = 16

So, to make it divisible, we have to place 2 in place of *.

then the sum become 18.

Thus the number will 542106.

HOPE IT HELPS

#ARCHITECTSETHROLLINS

✯ BRAINLY STAR ✯

biluminous: well, why aren't you placing 2 instead of 5
ArchitectSethRollins: ya that is also correct
biluminous: you are wrong dear
biluminous: that is correct only
biluminous: in question smallest number is asked. so make it 2
biluminous: good job
Answered by Paradoxialchampion
69
Heya!

Let the digit (*) be x

Since, Any number is divisible by 3 if its sum of the digit is divisible by 3.

For example , 24 is a number

Sum of digits = 2+4 =6 , which is divisible by 3.

So, 24 is also a multiple of 3.

In the same way,

Number= 54x106

Sum = 5+4+x+1+0+6

least value of x = 2

Then,

Sum = 5+4+2+1+0+6=18, which is divisible by 3.

So , the least value of x is 2.

And , the number 542106 is divisible by 3.

Hope it helps u.
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