
When we combine two or more numbers along with the usage of a mathematical operator known as + (plus) sign, this mathematical expression is called arithmetic addition. For example, 9 + 2 + 5 + 4 = 20.
Summation is defined as using this arithmetic addition operation to combine various numbers to figure out the end result. The individual terms are known as addends and summands.
The symbol for summation is ∑. This symbol is used to represent the addition of a series of numbers. The term sum can also be interchangeably used instead of addition because it denotes the same operation.
To better understand how to use the addition table, we should keep in mind the following process. If we want to add 8 and 4, i.e. 8 + 4, all we need to do is go down the row which contains the number 8 written on it and then along the column that has 4 written on it to obtain the answer. The answer is 12. The mathematical operation of arithmetic addition is commutative. So we can also do vice versa to get the same result, going down the row that has 4 on it and along the column that has 8 on it. Both (8 + 4 = 4 + 8 = 12) give the same answer.
| + | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 0 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 2 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| 3 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
| 4 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
| 5 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
| 6 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
| 7 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |
| 8 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| 9 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
| 10 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
There is a basic method of addition of numbers, and then there is the method of addition table used to add numbers. The above-given table is the most commonly used addition table.
The chart below is a simple explanation of using the addition table for numbers 1, 2, 3, and 4. First, pick a number and slide down to its row on the addition table, now to get the addition results for every number added to it, you can slide to the column of that number.
| Addition Table for 1 | Addition Table for 2 | Addition Table for 3 | Addition Table for 4 |
| 1 + 1 = 2 | 1 + 2 = 3 | 1 + 3 = 4 | 1 + 4 = 5 |
| 2 + 1 = 3 | 2 + 2 = 4 | 2 + 3 = 5 | 2 + 4 = 6 |
| 3 + 1 = 4 | 3 + 2 = 5 | 3 + 3 = 6 | 3 + 4 = 7 |
| 4 + 1 = 5 | 4 + 2 = 6 | 4 + 3 = 7 | 4 + 4 = 8 |
| 5 + 1 = 6 | 5 + 2 = 7 | 5 + 3 = 8 | 5 + 4 = 9 |
| 6 + 1 = 7 | 6 + 2 = 8 | 6 + 3 = 9 | 6 + 4 = 10 |
| 7 + 1 = 8 | 7 + 2 = 9 | 7 + 3 = 10 | 7 + 4 = 11 |
| 8 + 1 =9 | 8 + 2 =10 | 8 + 3 =11 | 8 + 4 =12 |
| 9 + 1 =10 | 9 + 2 =11 | 9 + 3 =12 | 9 + 4 =13 |
| 10 + 1 = 11 | 10 + 2 = 12 | 10 + 3 = 13 | 10 + 4 = 14 |
JEE Main marks vs rank vs percentile
JEE Advanced Eligibility Criteria
JEE Advanced Chemistry Syllabus
JEE Advanced Registration Dates
Derivation Of Lens Maker Formula
Unit Of Pressure Velocity Uses of Plane Mirror
Wave Theory of Light
Unit of Density Unit of Light Unit of Force Unit of Magnetic Field Unit of wavelength Unit of Viscosity Uses of Electroplating Young's Modulus
What is the Scattering of Light
Lenz Law Space Wave Propagation Schrodinger Wave Equation Relation between Fahrenheit and Celsius Refractive Index Potentiometer Working Pascal Law Oscillatory Motion Optical Instruments Newton's Laws of Motion - First Law Modulation and Demodulation Magnetic Flux Lens Formula and Magnification Kaleidoscope Faradays Law Epsilon Naught Value Energy Bands Electrostatics Electroscope AC Generator Unit of Current Lithosphere Bending Equation Derivation Difference Between Pound and Kilogram Semiconductor Devices OTEC - Ocean Thermal Energy Conversion Hall Effect Rectilinear Propagation of Light Difference Between Ammeter and Voltmeter Coefficient of Linear Expansion Ampere’s Law Cyclone and Thunderstorm Save The Environment From Pollution Particle Nature of Light Types of DC Motor Uses Of Transistor Derivation of Phase Rule Unit of Humidity