Title: Addition'
1Addition.
The numbers being added are called addends. As-
2 1 5 6 3 5 4 2 6 4 5 3
Addends.
Sum
1
5
1
1 2
The result of addition of the addends is
called the sum.
2Subtraction.
The number from which we subtract the other
number is called minuend. As-
4 6 5 7
Minuend
4 6 5 7
3 5 6 8
Subtrahend
3 5 6 8
9
8
0
1
Difference
Subtrahend
Minuend
The number which is subtracted is
called subtrahend.
The result obtained on subtraction is called the
difference.
3Factors.
A number is a factor of another number if it
divides that number exactly, without any
remainder. As-
4 is a factor of 28 (4 X 7 28)
7 is also a factor of 28.
11 is a factor of 33 (11 X 3 33)
3 is also a factor of 33.
Q- Is 7 a factor of 203?
2
9
Ans.-
(
)
2 0 3
7
-
1 4
3
6
X
29 is also a factor of 203. As 7 X 29 203
29 X 7 203.
6 3
Yes, Since the remainder is 0 7 is a factor of
203.
0
4Properties of Factors.
- 1 is a factor of every number.
- Every number (other than zero) is a factor of
itself. As- - 1 X 36 36
-
- 36 X 1 36.
- We know 0 multiplied by any number gives the
product 0. - Thus every number is a factor of zero.
5- A factor of a number (other than zero) is either
less than or equal to the number. - As-
- 12 1 X 12
- 12 2 X 6
- 12 3 X 4
- So factors of 12 are 1, 2, 3, 4, 6 and 12.
- The largest factor is 12 (the number itself).
- Therefore, a factor of a number is either less
than or equal to itself.
6Multiples.
- 8 X 7 56
- 56 is called the multiple of 8
- 56 is also a multiple of 7
- As- 8 X 7 56
-
- 7 X 8 56.
- The multiples of 3 are 3, 6, 9, 12......
7- The multiples of a number are obtained by
multiplying the whole numbers 1, 2, 3, 4 - The smallest multiple of a number is the number
itself. - As-
- 5 X 1 5 or 7 X 1 7 etc.
8Properties of Multiples.
- Every number is the multiple of 1.
- Every number is the multiple of itself.
- As- 1 X 15 15.
- 0 is the multiple of every number.
- As- 25 X 0 0 36 X 0 0
9- Every multiple of whole number (except 0) is
either greater than of equal to the number. - As- Multiples of 6 are 6, 12, 18, 24 ..
- The smallest multiple of 6 is 6 and other
multiples of 6 are greater than 6.
10Exercise.
- The multiple of an even number is always..even
number. - The multiple of an odd number may be odd or even.
- Zero is the whole number which is a multiple of
every number. - Every number is the multiple of one and the
number itself. - The multiples of any number are infinite.
11Prime Number.
- A prime number is a number which cannot be
divided by any number except by 1 or the number
itself. - As- 2, 3, 5, 7, 11, 13, 17, 19, 23 etc.
- NOTE- 1 is not a prime number since it has only
one factors, that is itself.
12Composite Number.
- Composite number is a number which can be divided
by any other number except by 1 or the number
itself. - As- 15 1 X 3 X 5.
13Exercise
- What is a prime number?
- Is 1 a prime number or composite? Why?
- What is a composite number?
The End