Question 33 of 33beginner🔧 ApplyShort Answer5 marks

Give your own examples of each rule.

Correct Answer

Examples of Brahmagupta's rules:

  1. Sum of two positives: (+5) + (+3) = +8
  2. Sum of two negatives: (−4) + (−6) = −10
  3. Adding positive and negative: (+7) + (−3) = +4; (−7) + (+3) = −4; (+5) + (−5) = 0
  4. Sum of number and its inverse: (+8) + (−8) = 0; (−12) + (+12) = 0
  5. Sum with zero: (−6) + 0 = −6; 0 + (+9) = +9; 0 + 0 = 0

Subtraction rules:

  1. Smaller positive subtracted from larger: (+8) − (+3) = +5
  2. Larger positive subtracted from smaller: (+3) − (+8) = −5
  3. Subtracting negative = adding positive: (+4) − (−2) = (+4) + (+2) = +6
  4. Subtracting number from itself: (+7) − (+7) = 0; (−7) − (−7) = 0
  5. Subtracting zero: (−5) − 0 = −5; 0 − (−3) = +3
Exercise: Figure it Out (Section 17) | Q: 2 | (Page Page 27)
For More Understanding

Explanation

The chapter provides Brahmagupta's rules for operations on integers. Students should create their own examples following each rule to demonstrate understanding.