Question

1.with out actual division, using divisililty rules classify the following numbers as divisible by 3,4,5,11.
1.523
2.with out actual division, using divisililty rules classify the following numbers as divisible by 6,8,9
1.3069​

Answer 1

Explanation:

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Answer 2

Explanation:

1)The given number is 1523

The divisibility rule of 3 = The sum of all digits is divisible by 3 then the number is divisible by 3.

The divisibility rule of 4 = The last two digits of the number is 00 or the last two digits is divisible by 4.

The divisibility rule of 5 =The ones place of the number is 0 or 5 then it is divisible by 5.

The divisibility rule of 11 = The sum of odd place of the number and the sum of even place of number and subtract the values and it is divisible by 11 then the number is also divisible by 11.

So, the number is not divisible by 3.

The number is not divisible by 4 .

The number is not divisible by 5.

For 11,

The number is 1523

The sum of odd places = 1+2=3

The sum of even places = 5+3=8

The difference is 3-8=-5

so,it is not divisible by 11.

2)The given number is 13069

The divisibility rule of 6 = if the number is divisible by 2and 3 then it is divisible by6.

The divisibility rule of 8 =The last three digits is divisible by 8,then the number is divisible by 8.

The divisibility rule of 9= The sum of all digits is divisible by 9,then the number is divisible by 9.

so, The number is not divisible by 6

The number is not divisible by8

The number is not divisible by9