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Fill in the blanks and state the property used.
If a and b are two integers, then their sum is also _______.

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To solve the question, we need to fill in the blank and state the property used regarding the sum of two integers. ### Step-by-Step Solution: 1. **Understanding the Question**: The question states that if \( a \) and \( b \) are two integers, then their sum is also _______. We need to determine what the sum of two integers results in. 2. **Choosing Integers**: Let's choose two integers for our example. For instance, let \( a = 5 \) and \( b = 2 \). 3. **Calculating the Sum**: Now, we calculate the sum of \( a \) and \( b \): \[ a + b = 5 + 2 = 7 \] 4. **Verifying with Reverse Order**: To ensure that the property holds, we can also calculate \( b + a \): \[ b + a = 2 + 5 = 7 \] 5. **Conclusion**: Since both \( a + b \) and \( b + a \) yield the same result, we can conclude that the sum of two integers is also an integer. Therefore, we fill in the blank: \[ \text{If } a \text{ and } b \text{ are two integers, then their sum is also } \text{an integer.} \] 6. **Stating the Property Used**: The property used here is the **Closure Property of Addition** for integers, which states that the sum of any two integers is always an integer. ### Final Answer: If \( a \) and \( b \) are two integers, then their sum is also **an integer**. The property used is the **Closure Property of Addition**.
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ICSE-INTEGERS-TRY THIS !
  1. Fill in the blanks and state the property used. If a and b are two i...

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  2. Fill in the blanks and state the property used. 15+(-45)= "" +15

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  3. Fill in the blanks and state the property used. (84+12)+96=""+(12+96...

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  4. Fill in the blanks and state the property used. 342+0=""+342

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  5. Is there any integer which does not have zero as its additive identify...

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  6. Does every integer have an additive inverse?

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  7. Is there an integer which is its own additive inverse?

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  8. Raman owed 20 candies to his friend. When he started from his home, he...

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  9. Give two counter examples to show: a. subtraction is not commutative f...

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  10. Write a pair of positive integers, a pair of negative integers, one po...

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  11. The sum of two integers is -95. If one of the integers is 15, find the...

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  12. A bag had 20 coloured pencil. A few were lost. Thereafter, 8 more penc...

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  13. Verify the result by performing the addition on a number line: a. (-5)...

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  14. Evaluate: a. 23 times (-16)" b. "(-362) times 274

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  15. Verify: (243) times (-51)=(-243) times 51

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  16. Starting from (-5) times 4, find (-5) times (-3).

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  17. Evaluate: a. 18 times (-3)" b. "(-6) times 40 " c....

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  18. Find the integer whose product with -1 is: a. 42 " b. "-122" c. ...

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  19. What will be the sign of the product if we multiply: five positive a...

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  20. What will be the sign of the product if we multiply: six positive an...

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