Page 33 - Touchpad Mathematics_Ver1.0_C5

E:\Working\Orange_Education\TouchPad_Maths-5\Open file\Maths_5_Chapter-02
\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

b. Adding an even number of Consecutive terms

rule: • Pair the first and last numbers, the second and second-last numbers, and so on.

• Find the sum of each pair (common pair sum) and multiply it by the number
of pairs.

• Sum = Pair sum × Number of pairs

example 4. 23 + 24 + 25 + 26 + 27 + 28 = ? 51
Solution. Here, the sum of each pair = 51
23 + 24 + 25 + 26 + 27 + 28
and the number of pairs = 3.
51
Sum = Pair sum × Number of pairs 51
= 51 × 3 = 153

example 5. 84 + 85 + 86 + 87 + 88 + 89 =? 173

Solution. Sum of each pair = 173 (common pair sum) 84 + 85 + 86 + 87 + 88 + 89

Number of pairs = 3 173
Sum = Pair sum × Number of pairs = 173 × 3 = 519 173

Addition

We have learnt about addition in our previous classes. H T O
Recall the terms and properties of addition.
The numbers that are added are called addends and 2 7 5 Addends

the answer is their sum. + 1 2 5
For example, in 275 + 125 = 400, both 275 and 125 are 4 0 0 Sum
addends and 400 is the sum.

Properties of Addition

1. Numbers can be added in any order. Their sum will remain the same.
For example, 4025 + 1135 = 5160 and 1135 + 4025 = 5160.

2. When 0 is added to a number, the sum is the number itself.
For example, 5136 + 0 = 5136 and 2793 + 0 = 2793.

Addition of Large numbers

The addition of large numbers is the same as of smaller numbers. Just follow some
simple steps.
Step 1. Write the addends in the columns according to their place values.

Step 2. Add the numbers starting from the ones place.
Step 3. Use regrouping if required.

31
Mathematical Operations