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Questions and Answers
What property of addition is demonstrated by the equation 5 + 7 = 7 + 5?
What property of addition is demonstrated by the equation 5 + 7 = 7 + 5?
- Commutative Property (correct)
- Associative Property
- Additive Inverse
- Identity Property
Which statement correctly applies the Identity Property of Addition?
Which statement correctly applies the Identity Property of Addition?
- 1 + 0 = 1 (correct)
- 1 + 1 = 2
- 2 + 5 = 5 + 2
- 3 + -3 = 0
What is the result of adding an additive inverse to a number?
What is the result of adding an additive inverse to a number?
- One
- The original number
- The sum remains the same
- Zero (correct)
How does the Associative Property of Addition affect the expression (2 + 3) + 4?
How does the Associative Property of Addition affect the expression (2 + 3) + 4?
In a financial context, if you have $3 and earn another $4, what equation represents this addition?
In a financial context, if you have $3 and earn another $4, what equation represents this addition?
Flashcards
Addition
Addition
Combining two or more numbers to find the total.
Commutative Property
Commutative Property
The order of numbers in addition doesn't change the sum.
Associative Property
Associative Property
The grouping of numbers in addition doesn't change the sum.
Identity Property
Identity Property
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Additive Inverse
Additive Inverse
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Study Notes
Basic Arithmetic
- The expression "1 + 1" represents addition.
- Addition combines two or more numbers (called addends) to find the total, also known as the sum.
- In this case, the addends are 1 and 1.
- The sum of 1 + 1 is 2.
Properties of Addition
- Commutative Property: The order of addends does not change the sum. (e.g., 1 + 1 = 1 + 1)
- Associative Property: The grouping of addends does not change the sum. (e.g., (1 + 1) + 0 = 1 + (1 + 0))
- Identity Property: Adding zero to any number does not change the number. (e.g., 1 + 0 = 1)
- Additive inverse: For any number, there is an additive inverse (opposite) that, when added together, results in zero. (e.g., 1 + -1 = 0).
Application of Addition
- Counting objects: If you have one apple and another apple, you have 1 + 1 = 2 apples.
- Measurement: If you have 1 meter and add another 1 meter, you have 2 meters.
- Financial transactions: If you have 1andearnanother1 and earn another 1andearnanother1, you have 1+1 + 1+1 = $2.
Further considerations (related to 1 + 1) in arithmetic
- The expression 1 + 1 can be considered as a fundamental building block for more complex arithmetic operations.
- This simple addition problem demonstrates the basic idea behind combining quantities.
- It showcases fundamental mathematical operations, although the outcome itself is trivial.
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