Final answer:
The division problem that best illustrates the number line is C) 10 ÷ 5 = 2.
Step-by-step explanation:
The number line often assists in visualizing division as repeated subtraction or partitioning. For the division problem 10 ÷ 5, the number line would start at 10 and partition into groups of 5. It can be observed that dividing 10 into groups of 5 would result in two equal partitions, each containing 5 units. Therefore, the number line best corresponds to the division problem 10 ÷ 5 = 2.
By dividing 10 into groups of 5 on the number line, it demonstrates the concept of division as the process of equally partitioning a whole into equal parts. In this case, dividing 10 by 5 results in two equal groups, each representing a value of 5. This visualization aids in understanding that 10 divided by 5 equals 2, as it shows two groups of 5 units each along the number line.
Hence, the number line best exemplifies the division problem 10 ÷ 5 = 2, as it illustrates the idea that when 10 is divided into 5 equal parts, it forms two such equal parts on the number line, each with a value of 5. Option c