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.
ScanSolve AI Answer
Here are the solutions to the questions: Step 1: Answer question 1. To find the number of integers from 27000 to 106780 (inclusive), we use the formula: Last number - First number + 1. Number of integers = 106780 - 27000 + 1 Number of integers = 79780 + 1 Number of integers = 79781 The number of integers is 79781. Step 2: Answer question 2. The question asks for one multiple of 1323 within the range of numbers from 27000 to 106780. First, find the smallest multiple of 1323 that is greater than or equal to 27000. (27000)/(1323) ≈ 20.408 The next integer is 21. So, the first multiple of 1323 in the range is 21 × 1323. 21 × 1323 = 27783 Since 27783 is between 27000 and 106780, it is a valid answer. One multiple of 132