Divisible by 9
This rule states that a number is divisible by 9 if the sum of its digits of the number is divisible by 9
For Example: Check whether 729 is divisible by 9 or not?
Sum of the digits = 7 + 2 + 9 = 18
Now 18 is divisible by 9 hence, 729 is also divisible by 9
Here are few examples illustrated on the divisibility rule of 9
1. Check whether the following number is divisible by 9 or not?
(i) 9729
(ii) 5256
(iii) 8852
(iv) 2136
(v) 4086
(vi) 5103
(vii) 8811
(viii) 813
(ix) 891
(x) 45363
Solution:
(i) 9729
Sum of the digits = 9 + 7 + 2 + 9 = 27
As, 27 is divisible by 9 hence, 9729 is also divisible by 9
(ii) 5256
Sum of the digits = 5 + 2 + 5 + 6 = 18
5256 is divisible by 9 as 18 is divisible by 9
(iii) 8852
Sum of the digits = 8 + 8 + 5 + 2 = 23
As, 23 is not divisible by 9 hence, 8852 is not divisible by 9
(iv) 2136
Sum of the digits = 2 + 1 + 3 + 6 = 12
As, 12 is not divisible by 9 hence, 2136 is not divisible by 9
(v) 4086
Sum of the digits = 4 + 0 + 8 + 6= 18
18 is divisible by 9 hence, 4086 is also divisible by 9
(vi) 5103
Sum of the digits = 5 + 1 + 0 + 3 = 9
As, 9 is divisible by 9 hence the number I divisible by 9
(vii) 8811
Sum of digits = 8 + 8 + 1 + 1 = 18
8811 is divisible by 9 as 18 is a multiple of 9
(viii) 813
Sum of the digits = 8 + 1 + 3= 12
813 is not divisible by as 12 is a multiple of 9
(ix) 891
Sum of the digits = 8 + 9 + 1 = 18
18 is a multiple of 9 hence, 891 is divisible by 9
(x) 45363
Sum of the digits = 4 + 5 + 3 + 6 + 3 = 21
As, 21 is not divisible by 9 hence, 45363 is not divisible by 9
2. Rewrite the series in a different color with numbers that are divisible by 9.
8581 7272 2345 9090 3027 981 3203 6580 6057
Solution:
8581 7272 2345 9090 3027 981 3203 6580 6057
3. Fill in the blanks with digits to make the following numbers divisible by 9:
(i) 7 … 96
(ii) 45 … 1
(iii) 10 … 3
(iv) 9 … 56
(v) 7 … 11
(vi) 4 … 23
(vii) 125 …
(viii) … 525
(ix) 332 …
(x) 556 …
Solution:
(i) 7596
(ii) 4581
(iii) 1053
(iv) 9756
(v) 7011
(vi) 4023
(vii) 1251
(viii) 6525
(ix) 3321
(x) 5562
Note: In the above example fill in with such digit so as to make the sum of the digits divisible by 9
You might like these
Worksheet on Divisibility Rules | Questions on Test of Divisibility
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Problems on Divisibility Rules | Rules to Test of Divisibility | Test
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
Divisible by 10|Test of Divisibility by 10|Rules of Divisibility by 10
The divisibility rule of 10 states that If the last digit of a number is 0 then the given number is divisible by 10. For eg: Check whether 5400 is divisible by 10 or not? Solution: As the last digit of the number is 0 hence, 5400 is divisible by 10
Divisible by 8 | Test of Divisibility by 8 |Rules of Divisibility by 8
The most common method to check whether a number is divisible by 8 is to divide and see if the quotient is a whole number or not? If the quotient is a whole number then the given number is divisible by 8. But there is an easier way to check by using the divisibility rule.
Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7
This rule states that if the difference between twice the digit at units place and the number formed from the remaining digits of the given number is divisible by 7 then the whole number is divisible by 7.
Divisible by 6 | Test of divisibility by 6 |Rules of Divisibility by 6
This topic on divisible by 6 will discuss about the divisibility rule of 6 and few example on the same. Divisibility rule of 6: A number is divisible by 6 if the prime factor of that is 2 & 3 is divisible by 6. For Example: 216 216 is divisible by 2 as the last digit 6 is
Divisible by 5 | Test of divisibility by 5 |Rules of Divisibility by 5
This topic on divisible by 5 will discuss on the divisibility rule of 5 and illustrate few example on the same. Divisibility Rule of 5: If a number ends with 0 or 5 then the number is divisible by 5. For Example: 550 Since the number ends with 0 hence the number is divisible
Divisible by 4 | Rules of Divisibility by 4|Divisibility Rules & Tests
This topic i on divisibility rule of 4 and will provide examples on the same. Divisibility Rule of 4: If the last two digits of the number is divisible by 4 then the whole number is divisible by 4 For eg: 524 The last two digit of the number is 24 which is divisible by 4.
Divisible by 3 | Rules of Divisibility by 3|Divisibility Rules & Tests
This topic is on the divisibility rule of 3 and few examples based on the topic. If the sum of the digits is divisible by 3 then the whole number is divisible by 3. For example 519 The sum of the digits = 5 + 1 + 9 = 15 15 is divisible by 3 hence 519 is also divisible by 3
From Divisible by 9 to HOME PAGE
Recent Articles
-
Kind and Number of Teeth | Location of Teeth in Mouth | Care of Teeth
Sep 11, 25 12:52 AM
Kind and Number of Teeth -
The Gaseous Exchange | Transport of Oxygen | Haldane Effect |
Sep 10, 25 02:44 PM
Oxygen carrying capacity of blood is 20 ml for 100m but 3% of dissolved in plasma and 97% of the oxygen combines with haemoglobin to form a loose reversible Complex called oxyhaemoglobin and is transp… -
Respiratory Volumes and Capacities | Tidal Volume | Dead Space
Sep 10, 25 02:46 AM
Explain respiratory volumes and capacities: Tidal Volume - Tidal volume is the volume of air inspired or expired in relaxed or resting position. Amount of tidal volume is about 500 m and it consists o… -
Mechanism of Breathing | Definition of Inspiration and Expiration
Aug 17, 25 11:41 PM
Breathing is the process which is accomplished in three states that is inspiration expiration and pause . Definition of inspiration - Entry of air into the lungs from outside during breathing is calle… -
Human Respiratory System | External Nares | Nasal Cavity | Pharynx
Aug 04, 25 03:14 PM
Definition of respiration - This is the process of making energy available to organisms and their living cells through enzyme controlled catabolic breakdown of organic molecules. The organic materials…
New! Comments
Have your say about what you just read! Leave me a comment in the box below.