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Questions and Answers
What is the definition of addition?
What is the definition of addition?
What symbol is used to represent addition?
What symbol is used to represent addition?
Which property does not apply to subtraction?
Which property does not apply to subtraction?
What is the result of the equation 2 + (3 + 4)?
What is the result of the equation 2 + (3 + 4)?
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What is the definition of subtraction?
What is the definition of subtraction?
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Which of the following equations is true?
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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