Question

Apply the divisibility rule and show that-
(a) 432566 is divisible by 2 (e) 117904 is divisible by 8
(b) 352115 is divisible by 5 (f) 784300 is divisible by 4
(c) 868060 is divisible by 10 (g) 694000 is divisible by 8
(d) 3496 is divisible by 4
(h) 35088 is divisible by 2​

Answer 1

Answer:

Step-by-step explanation:

a)432566

By the divisibility rule of 2,

If the last digit of the number is even , then it is divisible by 2

So, 432566 is divisible by 2, since the last digit is 6 which is even.

e)117904

By the divisibility rule of 8,

1) If the digit on the hundredths place is even, then the number formed by the last two digits must be divisible by 8.

2) If the digit on the hundredths place is odd, then the number formed by the last two digits plus 4  must be divisible by 8.

Hundredths digit : 9

It is odd, then 04+4=8......is divisible by 8

So, 117904 is divisible by 8

c)868060

By divisibility rule of 10,

If the Last digit of the number is 0, then it is divisible by 10.

So, 868060 is divisible by 10 since the last digit is 0.

d) 3496

By the divisibility rule of 4,

If the last two digits of a number "n" forms a number "N" that is divisible by 4, then the number "n" is divisible by 4.

So, 3496 is divisible by 4 since the last two digits forms the number 96 which is divisible by 4.

b) 352115

By divisibility rule of 5,

If the last digit of the number is 5 or 0, then the number is divisible by 5

So,352115 is divisible by 5 since the last digit is 5

f) 784300

By the divisibility rule of 4,

If the last two digits of a number "n" forms a number "N" that is divisible by 4, then the number "n" is divisible by 4.

So, 784300 is divisible by 4, since the last two digits is 00 and is divisible by 4

g) 694000

By the divisibility rule of 8,

1) If the digit on the hundredths place is even, then the number formed by the last two digits must be divisible by 8.

2) If the digit on the hundredths place is odd, then the number formed by the last two digits plus 4  must be divisible by 8.

Hundredths digit : 0

It is even, then 00.....is divisible by 8

So,  i694000 is divisible by 8.

h) 35088

By the divisibility rule of 2,

If the last digit of the number is even , then it is divisible by 2

So,35088 is divisible by 2 ,since the last digit is 8 which is even.

Answer 2

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