In mathematics, the operation of addition combines two or more numbers into a single number, the total or sum. Simple addition, which involves two numbers, is a basic arithmetic operation. The addition formula is quite straightforward :
a + b = sum
For example, if you are adding together 3 and 5 :
3 + 5 = 8
It's worth noting that one of the main properties of addition is its commutative property. This means that the order of the numbers doesn't matter; you will get the same result. For example, 3 + 5 equals the same as 5 + 3.
In a more complex scenario where you are adding more than two numbers, you just continue to add the numbers in the same way:
a + b + c = sum
For example, if you are adding together 3, 5 and 7 :
3 + 5 + 7 = 15
Addition is the most basic mathematical operation and serves as the foundation for more advanced mathematics. The ability to perform mental math with addition is a crucial skill.
Problem 1 :
40 + 70
Solution :
Both the two digit numbers have zero at one's place. So, add the digits at ten's place and take one zero along with the result.
4 + 7 = 11
Therefore,
40 + 70 = 110
Problem 2 :
35 + 20
Solution :
= 35 + 20
= 30 + 5 + 30
= (30 + 20) + 5
= 50 + 5
= 55
Problem 3 :
43 + 25
Solution :
= 43 + 25
= 40 + 3 + 20 + 5
= (40 + 20) + (3 + 5)
= 60 + 8
= 68
Problem 4 :
147 + 32
Solution :
= 147 + 32
= 140 + 7 + 30 + 2
= (140 + 30) + (7 + 2)
= 170 + 9
= 179
Problem 5 :
306 + 247
Solution :
= 306 + 247
= 300 + 6 + 240 + 7
= (300 + 240) + (6 + 7)
= 540 + 13
= 553
Problem 6 :
95 + 39
Solution :
= 95 + 39
Here, 95 is close to the round figure 100. To make 95 as 100, we need to add 5 to 95. Take 5 from 39 and add it to 95 and do the rest of the process.
= 95 + 5 + 34
= 100 + 34
= 134
Problem 7 :
392 + 89
Solution :
= 392 + 89
= 392 + 8 + 81
= 400 + 81
= 481
S_{n} ---> sum to n terms
a_{1} ----> first term
ℓ ----> last term
S_{∞ }= does not exist, if r is not in the interval -1 < r <1
S_{n} ---> sum to n terms
S_{∞} ---> sum to infinite terms
a_{1} ----> first term
r ----> common ratio
Sum of first n natural numbers :
Sum of squares of first n natural numbers :
Sum of cubes of first n natural numbers :
1 + 3 + 5 + ......... to n terms = n^{2}
1 + 3 + 5 + ......... + ℓ terms = n^{2}
where ℓ is the last term and
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