This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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\begin{array}{ll} (i) & 13378, 13379, 13380 \ (ii) & 9998, 9999, 10000 \ (iii) & 8779, 8780, 8781 \ (iv) & 1188, 1189, 1190 \end{array}
Here are the numbers before and after the given numbers:
*i) For the number 13379: Step 1: Find the number before by subtracting 1. Step 2: Find the number after by adding 1. The numbers are 13378 and 13380.
*ii) For the number 9999: Step 1: Find the number before by subtracting 1. Step 2: Find the number after by adding 1. The numbers are 9998 and 10000.
*iii) For the number 8780: Step 1: Find the number before by subtracting 1. Step 2: Find the number after by adding 1. The numbers are 8779 and 8781.
*iv) For the number 1189: Step 1: Find the number before by subtracting 1. Step 2: Find the number after by adding 1. The numbers are 1188 and 1190.
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*i) For the number 13379: Step 1: Find the number before by subtracting 1. 13379 - 1 = 13378 Step 2: Find the number after by adding 1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.