Final answer:
A number line marked in eighths can also be labeled with any fractions that are multiples of eighths, such as sixteenths or thirty-seconds, as they represent the same points on the number line.
Step-by-step explanation:
What strip could label the marks on the number line in addition to eighths? This question explores the concept of fractions and how a number line can be segmented into different fractional parts. Number lines can be divided into various equivalent fractions, so in addition to eighths (⅛), we can label the same marks on a number line using other fractions that are equivalent, such as sixteenths (⅜), thirty-seconds (⅝), and so forth.
The key is finding fractions that are multiples of eighths. For example, each eighth can be further divided into two to create sixteenths, or into four to create thirty-seconds. This is because 1/16 is half of 1/8 and 1/32 is a quarter of 1/8. This allows students to see how different fractions can represent the same point on a number line and deepens their understanding of fractional relationships.