END NUMBERS
Vedic Math is all about speed, accuracy, and mental clarity. One of the most exciting tools in this system is the "End Numbers" technique—a simple concept with powerful results!
✨ What Are End Numbers?
When you add two single-digit numbers, the End Number is the rightmost digit of the sum — the digit that stays after carrying over. It helps you quickly focus on what goes into your answer and what gets carried forward in large number additions.
🧮 Why Are End Numbers Important?
✅ 1. Boosts Mental Addition Speed
With practice, you'll recognize combinations and their end numbers instantly, reducing the need to work step-by-step!
✅ 2. Improves Accuracy
You won’t miss carries anymore. Knowing the end number and the carry keeps everything neat and correct.
✅ 3. Builds a Strong Foundation
This concept prepares students for fast multi-digit additions, especially useful in competitive exams.
🔢 End Numbers Practice Exercises
🧮 Set 1: Basic Single-Digit Addition (No Carry or 1 Carry)
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2 + 3 = ___
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4 + 5 = ___
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6 + 2 = ___
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7 + 3 = ___
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1 + 8 = ___
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9 + 0 = ___
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3 + 4 = ___
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5 + 6 = ___
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7 + 2 = ___
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8 + 1 = ___
ANSWERS
S.No | Combination | Total | Carry | End Number |
---|---|---|---|---|
1 | 2 + 3 | 5 | 0 | 5 |
2 | 4 + 5 | 9 | 0 | 9 |
3 | 6 + 2 | 8 | 0 | 8 |
4 | 7 + 3 | 10 | 1 | 0 |
5 | 1 + 8 | 9 | 0 | 9 |
6 | 9 + 0 | 9 | 0 | 9 |
7 | 3 + 4 | 7 | 0 | 7 |
8 | 5 + 6 | 11 | 1 | 1 |
9 | 7 + 2 | 9 | 0 | 9 |
10 | 8 + 1 | 9 | 0 | 9 |
🧠 Set 2: Carry Practice (Sum > 9)
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7 + 5 = ___
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8 + 6 = ___
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9 + 3 = ___
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6 + 7 = ___
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4 + 9 = ___
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8 + 5 = ___
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9 + 6 = ___
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7 + 8 = ___
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5 + 9 = ___
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6 + 9 = ___
ANSWERS
S.No | Combination | Total | Carry | End Number |
---|---|---|---|---|
11 | 7 + 5 | 12 | 1 | 2 |
12 | 8 + 6 | 14 | 1 | 4 |
13 | 9 + 3 | 12 | 1 | 2 |
14 | 6 + 7 | 13 | 1 | 3 |
15 | 4 + 9 | 13 | 1 | 3 |
16 | 8 + 5 | 13 | 1 | 3 |
17 | 9 + 6 | 15 | 1 | 5 |
18 | 7 + 8 | 15 | 1 | 5 |
19 | 5 + 9 | 14 | 1 | 4 |
20 | 6 + 9 | 15 | 1 | 5 |
🔁 Set 3: Random Practice (Mixed)
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3 + 7 = ___
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1 + 4 = ___
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2 + 8 = ___
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9 + 2 = ___
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5 + 3 = ___
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6 + 4 = ___
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0 + 9 = ___
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7 + 1 = ___
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3 + 6 = ___
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8 + 2 = ___
ANSWERS
S.No | Combination | Total | Carry | End Number |
---|---|---|---|---|
21 | 3 + 7 | 10 | 1 | 0 |
22 | 1 + 4 | 5 | 0 | 5 |
23 | 2 + 8 | 10 | 1 | 0 |
24 | 9 + 2 | 11 | 1 | 1 |
25 | 5 + 3 | 8 | 0 | 8 |
26 | 6 + 4 | 10 | 1 | 0 |
27 | 0 + 9 | 9 | 0 | 9 |
28 | 7 + 1 | 8 | 0 | 8 |
29 | 3 + 6 | 9 | 0 | 9 |
30 | 8 + 2 | 10 | 1 | 0 |
🎯 Set 4: Match the Following (End Number Matching)
Combination | Match End Number |
---|---|
5 + 7 | a. 1 |
4 + 6 | b. 0 |
9 + 2 | c. 2 |
8 + 5 | d. 3 |
6 + 8 | e. 4 |
ANSWERS
Combination | Total | End Number | Answer |
---|---|---|---|
5 + 7 | 12 | 2 | c |
4 + 6 | 10 | 0 | b |
9 + 2 | 11 | 1 | a |
8 + 5 | 13 | 3 | d |
6 + 8 | 14 | 4 | e |
✅ Correct Matches:
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5 + 7 → 12 → 2 ✅
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4 + 6 → 10 → 0 ✅
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9 + 2 → 11 → 1 ✅
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8 + 5 → 13 → 3 ✅
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6 + 8 → 14 → 4 ✅
🧩 Set 5: Find the Missing Number
📝 Find the missing number that gives the End Number shown.
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__ + 6 = Total with End Number 2
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7 + __ = Total with End Number 4
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__ + 9 = Total with End Number 5
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5 + __ = Total with End Number 0
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__ + 8 = Total with End Number 3
➡️ Answers:
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6
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7
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6
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5
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5
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