Use the number line to compare 3

Question

10
and 7
10

A number line going from 0 to 1 with 10 equal spaces between 0 and 1.

Which statement is true?
StartFraction 3 Over 10 EndFraction greater-than StartFraction 7 Over 10 EndFraction
StartFraction 3 Over 10 EndFraction less-than StartFraction 7 Over 10 EndFraction
StartFraction 3 Over 10 EndFraction = StartFraction 7 Over 10 EndFraction

Answer 1

To compare the fractions \( \frac{3}{10} \) and \( \frac{7}{10} \) using the number line:

• The number line you described has 10 equal spaces between 0 and 1, which means each space represents \( \frac{1}{10} \).
• Therefore, \( \frac{3}{10} \) is located at the 3rd space on the number line (0.3), and \( \frac{7}{10} \) is located at the 7th space on the number line (0.7).

Since \( 0.3 < 0.7 \), we can conclude that:

\[ \frac{3}{10} < \frac{7}{10} \]

Thus, the correct statement is:

\( \frac{3}{10} < \frac{7}{10} \).