Cast out nines from a given number to check if it is a multiple of nine.

__Patterns
in numbers__

__Cast
out nines from a given number to check if it is a multiple of nine.__

**EXAMPLE**

Is 46908 multiple of 9?

46908 = 4 + 6 + 0 + 8

= 18

= 1 + 8

= 9

**Let us Know**

Any number or combination
of digits in that number which add to 9 can be cast out from the given number. Then
the sum of remaining digits of the number is divisible by 9 or multiple of 9.

**In addition problem, we can check the sum by
casting out nines.**

**EXAMPLE 1**

Check the following numbers
whether it is a multiple of 9 or not

24689 = 2 + 4 + 6 + 8 = 20 (It's
not a multiple of 9.)

9108 = 0 (It's a multiple of 9.)

3165 = 1 + 5 = 6 (It's not a
multiple of 9.)

**EXAMPLE 2**

Check the addition fact

3356 + 4729 = 8085

8 + 4 = 21

12 = 21

1 + 2 = 2 + 1

3 = 3

**In subtraction problem, we can check the difference
by casting out nines method.**

**(Remember that subtraction is nothing more than
addition in reverse).**

**EXAMPLE**

4897 − 2186 = 2711

4897 − 2186 = 2711

19 − 8 = 2

10 − 8 = 2

2 = 2

**Let us Know**

Think of a two
digit number say 52, then subtract the reverse of its digits, 25 from 52.

Difference = 52 −
25 = 27

27 is a multiple of
9.

**Activity**

Tags : Patterns | Term 1 Chapter 3 | 4th Maths , 4th Maths : Term 1 Unit 3 : Patterns

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

4th Maths : Term 1 Unit 3 : Patterns : Patterns in numbers: check if it is a multiple of nine | Patterns | Term 1 Chapter 3 | 4th Maths

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