Indices, SM-Bank 056 Using divisibility tests, find the largest number less than 500 that is divisible by 9. (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\text{See worked solution}\) Show Worked Solution \(\text{A number is divisible by }9\ \text{if the sum of the digits is divisible by }9.\) \(\text{Checking numbers less than } 500\) \(499=4+9+9=22\ \Rightarrow\ \text{ not divisible by 9}\) \(498=4+9+8=21\ \Rightarrow\ \text{ not divisible by 9}\) \(497=4+9+7=20\ \Rightarrow\ \text{ not divisible by 9}\) \(496=4+9+6=19\ \Rightarrow\ \text{ not divisible by 9}\) \(495=4+9+5=18\ \Rightarrow\ \text{ divisible by 9}\ \checkmark\) \(\therefore\ 495\ \text{is the largest number less than }500\ \text{that is divisible by }9.\)