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Questions and Answers
What is the definition of addition?
What symbol is used to represent addition?
Which property does not apply to subtraction?
What is the result of the equation 2 + (3 + 4)?
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What is the definition of subtraction?
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Which of the following equations is true?
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Study Notes
Numbers and Operations
Addition
- Definition: Combining two or more numbers to get a total or a sum.
- Symbol: + (plus sign)
- Example: 2 + 3 = 5
-
Properties:
- Commutative Property: The order of numbers being added does not change the result. (e.g., 2 + 3 = 3 + 2)
- Associative Property: The order in which numbers are added does not change the result. (e.g., (2 + 3) + 4 = 2 + (3 + 4))
- Distributive Property: Addition can be distributed over multiple numbers. (e.g., 2 + (3 + 4) = 2 + 3 + 4)
Subtraction
- Definition: Finding the difference between two numbers.
- Symbol: - (minus sign)
- Example: 5 - 2 = 3
-
Properties:
- Not Commutative: The order of numbers being subtracted changes the result. (e.g., 5 - 2 ≠ 2 - 5)
- Not Associative: The order in which numbers are subtracted changes the result. (e.g., (5 - 2) - 1 ≠ 5 - (2 - 1))
- No Distributive Property: Subtraction cannot be distributed over multiple numbers.
数和运算
加法
- 加法的定义：将两个或多个数结合以获取总和或和。
- 加法符号：+ (加号)
- 示例：2 + 3 = 5
- 加法属性：
- 交换律：加法的顺序不改变结果。例如：2 + 3 = 3 + 2
- 结合律：加法的顺序不改变结果。例如：(2 + 3) + 4 = 2 + (3 + 4)
- 分配律：加法可以分布在多个数上。例如：2 + (3 + 4) = 2 + 3 + 4
减法
- 减法的定义：找到两个数之间的差。
- 减法符号：- (减号)
- 示例：5 - 2 = 3
- 减法属性：
- 非交换律：减法的顺序改变结果。例如：5 - 2 ≠ 2 - 5
- 非结合律：减法的顺序改变结果。例如：(5 - 2) - 1 ≠ 5 - (2 - 1)
- 无分配律：减法无法分布在多个数上。
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