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Write the associative property of additi...

Write the associative property of addition of integers taking a, b and c as three integers.

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To write the associative property of addition of integers using the integers a, b, and c, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Associative Property**: The associative property of addition states that when adding three or more integers, the way in which the numbers are grouped does not change the sum. 2. **Setting Up the Integers**: Let’s consider three integers: a, b, and c. 3. **Applying the Property**: According to the associative property, we can group the integers in two different ways: - First, we can add a and b together, and then add c to the result. This can be written as: \[ (a + b) + c \] - Alternatively, we can add b and c together first, and then add a to that result. This can be written as: \[ a + (b + c) \] 4. **Conclusion**: Therefore, the associative property of addition of integers can be expressed as: \[ (a + b) + c = a + (b + c) \] This means that regardless of how we group the integers, the sum remains the same.
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ICSE-INTEGERS-EXERCISE 1.1
  1. Verify the commutative property of addition of integers for the intege...

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  2. Verify the commutative property of addition of integers for the intege...

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  3. Verify that 23+(14+52)=(23+14)+52

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  4. Write the associative property of addition of integers taking a, b and...

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  5. What is the additive identity of -6?

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  6. Which integer is its own additive identity?

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  7. Write the additive inverse of: a. (-212). b. 666.

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  8. Write down the integers, if any, that do not have inverses under addit...

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  9. Write down all integers that are their own inverses under addition.

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  10. Give a counter example to show that if integers are not commutative un...

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  11. Verify that: (23-17)-9 ne 23-(17-9)

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  12. Show that the associative property does not hold for integers under su...

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  13. Give examples of: One positive and one negative integer whose sum is...

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  14. Give examples of: Two negative integers whose sum is -21.

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  15. Give examples of: One negative and one positive integer whose differ...

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  16. Give examples of: Two negatigve integers whose difference is 14.

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  17. Subtract the sum of -368 and 245 from -211.

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  18. The sum of two integers is -117. If one of the integer is 85, find the...

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  19. A bag had 90 marbles. John came and took 38 away and Amit put in some ...

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  20. The temperature on a winter morning at a hill station was -4^(@)C. Aft...

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