locate 5.09 on the number line.

# Explanation: ## Step1: Analyze the range of 5.09 The number 5.09 is between 5 and 5.1. The given number - line ranges from 8.0 - 9.0 and does not contain 5.09. ## Step2: Assume a new number - line We need a number - line with appropriate scale. A number - line with intervals of 0.1 from 5.0 to 5.1 would be suitable. Mark 5.0 on the left - hand side and 5.1 on the right - hand side. ## Step3: Sub - divide the interval Sub - divide the interval between 5.0 and 5.1 into 10 equal parts (since 0.1÷10 = 0.01). Each part represents 0.01. ## Step4: Locate 5.09 Starting from 5.0, move 9 parts to the right to locate 5.09. # Answer: On a number - line with intervals of 0.1 from 5.0 to 5.1, sub - divide the interval between 5.0 and 5.1 into 10 equal parts and move 9 parts to the right of 5.0 to locate 5.09.