Math, asked by sashanthsashanth219, 6 hours ago

. Pick 5 numbers greater than 10000 2. Use the divisibility rules to test each of the 5 numbers to find out if they are divisible by each of the digits 2 -10. Also select 7 digit numbers for rule 11. 3. For each number explain if it divisible and why or why not.

Answers

Answered by mohanapriyam34

Step-by-step explanation:

sorry i do not the answer

Answered by Dhruv4886

Given :

Pick 5 numbers greater than 10000

To Find:

(a)Use the divisibility rules to test each of the 5 numbers to find out if they are divisible by each of the digits 2 -10.

(b)Also select 7 digit numbers for rule 11.

Solution:

Now choose 5 numbers greater than 10000 (11223,20506,52000,65840,32698)

(a) Divisibility by 2

for the number to be divisible by 2 the last digit needs to be divisible by 2 or the last digit needs to be 0.
Now going through the numbers 20506,52000,65840 and 32698 is divisible by 2.

(b) Divisibility by 3

for the number to be divisible by 3 the sum of all the digits of the number needs to be divisible by 3
20506=2+0+5+0+6=13(not divisible)
11223=1+1+2+2+3=9(divisible)
52000=5+2=7(not divisible)
65840=6+5+8+4=23(not divisible)
32698=3+2+6+9+8=28(not divisible)

(c) Divisibility by 4

for the number to be divisible by 4 the last two digits need to be divisible by 4 or 00
52000and65840 is divisible by 4

(d) Divisibility by 5

(e) Divisibility by 6

(f) Divisibility by 7

for prime number 7 we need to use the seed formula rule for that numbers of tens are added to unit times seed number and repeat the process till it becomes small and that number should be divisible by 7
20506=2050+5*6=2061=206+5*1=211=21+5*1=26(not divisible)
11223=1122+5*3=1137=113+5*7=148=14+5*8=54(not divisible)
52000=5200+0=5200=520+0=520=54+0=52(not divisible)
65840=658+5*4=678=67+8*5=107(not divisible)
32698=3269+5*4=3309=330+5*9=375=37+5*5=62(not divisible)

(g) Divisibility by 8

for the numbers to be divisible by 8 the last 3 digit needs to be divisible by 8 or 000
52000and65840 is divisible by 8

(h) Divisibility by 9

for the number to be divisible by 9 the sum of all the digits needs to be divisible by 9.
11223 is divisible by 9

(i) Divisibility by 10

(j) Divisibility by 11

a 7 digit number is 5048598
a number is divisible by 11 when the difference between the sum of digits of odd places to that of even places is divisible by 11 or is 0
5042598=(5+4+5+8)-(0+2+9)=22-11=11(divisible)

Hence, the 5 numbers that satisfy divisibility by each number is stated above.

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