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EXERCISE 1.1 [7TH STD NCERT SOLUTION]

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Published in: Mathematics
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1. Write down a pair of integers whose 2. (a) Write a pair of negative integers whose difference gives 8. (b) Write a negative integer and a positive integer whose sum is –5. (c) Write a negative integer and a positive integer whose difference is –3. 3. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order? 4. Fill in the blanks to make the following statements true

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  1. 1. Finding Pairs of Integers (a) Find two integers whose sum is -7. - Solution: We want two numbers that, when added, give us -7. - Example: If we choose -10 and +3, adding them gives us -10 + 3 -7. - Answer: -10 and 3. (b) Find two integers whose difference is -10. - Solution: Here, we need two numbers where subtracting one from the other equals -10. - Example: If we use -5 and -5, then -5 - (-5) -10. - Answer: -5 and -5. (c) Find two integers whose sum IS O. - Solution: We need numbers that add up to O. - Example: Choosing +4 and -4, we get 4 + (-4) O - Answer: 4 and -4. 2. Matching Integer Pairs to Conditions (a) Two negative integers with a difference of 8. - Solution: To achieve a difference of 8, we need two negative numbers that, when subtracted, give us 8. - Example: With -2 and -10, -2 - (-10) 8. - Answer: -2 and -10.
  2. (b) A negative and a positive integer whose sum is -5. - Solution: We want a positive and a negative number that add up to -5. - Example: Using -9 and 4, -9 + 4 = -5. - Answer: -9 and 4. (c) A negative and a positive integer where the difference is -3. - Solution: We want one positive and one negative number with a difference of -3. - Example: Using -2 and 1, -2 - 1 -3. - Answer: -2 and 1. 3. Quiz Scores Comparison - Team A scored: -40, 10, O - Team B scored: 10, O, -40 Calculation: - Team A total: -40 + 10 + O -30 - Team B total: 30 Conclusion: Both teams scored the same, illustrating the Commutative Property of Addition. 4. Fill in the Blanks - Commutative Property of Addition.
  3. - (ii) -53 + O -53 - Additive Identity. - (iii) 17 + (-17) = o - Positive integer + Negative integer O. - (iv) [13 + (-12)] + (-7) 13 + [(-12) + - Associative Property of Addition. - (v) + [15 + + 151 + (-3) - Another example of the Associative Property of Addition.

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