Page 16 - SM Class 5 Inner.cdr

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Chapter2 6 ½ –

Four Operations

Addition, subtraction, Multiplication and division are four fundamental
operations in mathematics.

In large numbers, these operations works in the same way as we have done in
previous classes.

Addition

In previous classes, we have learnt to add 5-digit and 6-digit numbers. Now it's
time to learn that how to add 6 and 7-digit number.

Example : 1 Example 2 : Find the sum of 12745, 364901, 3765207
Add 3504769 and 6641007 Solution : Arrange the addends in columns and add.
Solution : Arrange the addends in
Tl L Tth Th H T O
columns and add.
1 1 1
1 2 7 4 5
Tl L Tth Th H T O 1
1 1 3 6 4 9 0 1
3 5 0 7 4 6 9 1
+ 6 6 4 1 0 0 7 + 3 7 6 5 2 0 7
1 0 1 4 8 4 7 6 4 1 4 2 8 5 3
Answer : 4142853
:
Answer 10148476

Example 3 : Find the missing digits :
As in ones column 5 + f = 3 and 3 is less than 5

So, 5 + f = 13 f = 13 – 5 = 8 Tl L Tth Th H T O
Carry 1 to tens column 3 a 8 b 7 c 5
+ d 1 e 4 9 6 f
1 + c + 6 = 8 c = 8 – 6 – 1 = 1
5 9 4 1 g 8 3
in hundreds column

7 + g = 9 so g = 16 Write g = 6 and carry 1
Counting in same manner, we can find the values of all blank spaces.
a = 7 b = 6 c = 1 d = 2
e = 5 f = 8 g = 6

Properties of Addition

1. Order Property

Change in the order of addends does not change the sum.

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Mathematics In Focus - 5