Addition Calculator
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Table of Contents
Introduction
An operand is a number or variable used in a mathematical operation. In the case of addition, the operands are the numbers we are adding.
The symbol we use to represent addition is the plus sign (+). So, when we see the equation 2 + 3, we know that we are adding the numbers 2 and 3. The result of this addition is called the sum. In this case, the sum would be 5.
It is important to note that addition is commutative, which means that the order of the operands does not matter. For example, 3 + 2 is the same as 2 + 3, and both will give us the same sum of 5.
Sum Examples
- 5 + 6 = 11
- 9 + 3 = 12
- 7 + 8 = 15
We can also use addition to solve word problems, such as "If José has 2 apples and receives 3 more, how many apples does he have now?" The answer is 5 apples.
Negative Values
A negative number is a number less than zero. We represent negative numbers with a negative sign (-) in front of the number. For example, -3 is a negative number.
When adding negative numbers, the rules are similar to when adding positive numbers. The only difference is that the sum can also be a negative number. For example, if we add 3 + (-2), the sum is 1. The sum is positive because 3 is positive and -2 is negative.
On the other hand, if we add -3 + (-2), the sum is -5. The sum is negative because both numbers are negative.
It is also important to remember that subtraction is the inverse operation of addition. So, if we subtract a positive number from another positive number, the result will be positive; if we subtract a negative number from another negative number, the result will be negative.
Examples - Negative Numbers
- 3 + (-2) = 1
- -3 + (-2) = -5
- -3 + 2 = -1
Frequently Asked Questions
What is <strong>addition</strong> in mathematics?
Addition is a mathematical operation that involves combining two or more numbers to get a total. It is one of the basic operations in arithmetic.
What is the symbol for addition?
The symbol for addition is the + sign, which is placed between the numbers to be added. Example: 3 + 2 = 5.
What are the numbers being added called?
The numbers being added are called addends, and the result is called the sum or total. Example: in 4 + 6 = 10, the addends are 4 and 6, and the sum is 10.
What is the <strong>commutative property</strong> of addition?
It states that changing the order of the addends does not affect the result: a + b = b + a. Example: 2 + 5 = 5 + 2 = 7.
What is the <strong>associative property</strong> of addition?
It allows grouping the addends in different ways without changing the result: (a + b) + c = a + (b + c). Example: (1 + 2) + 3 = 1 + (2 + 3) = 6.
What is the <strong>identity element</strong> of addition?
The number 0, because adding 0 to any number doesn’t change its value: a + 0 = a.
Can you add <strong>negative numbers</strong>?
Yes, and the result depends on the rules for signed numbers. Examples:-2 + (-3) = -5-2 + 5 = 3.