Question

n7.2, n7.3, & n7.4
7 use a number line to order each set of numbers from least to greatest.
a) \\(\frac{7}{8}, \frac{5}{8}, \frac{3}{8}, \frac{10}{8}\\)
from least to greatest: \\(\frac{3}{8}, \frac{5}{8}, \frac{7}{8}, \frac{10}{8}\\)
b) \\(\frac{4}{10}, \frac{12}{10}, \frac{9}{10}, 1\frac{4}{10}\\)
from least to greatest: \\(\frac{4}{10}, \frac{9}{10}, \frac{12}{10}, 1\frac{4}{10}\\)

Explanation:

Step1: Analyze part (a)

For fractions with the same denominator, the numerator determines the value. Smaller numerator means smaller fraction. So compare numerators: 3, 5, 7, 10. So order is $\frac{3}{8}$, $\frac{5}{8}$, $\frac{7}{8}$, $\frac{10}{8}$.

Step2: Analyze part (b)

First, convert mixed number $1\frac{4}{10}$ to improper fraction $\frac{14}{10}$. Now all fractions have denominator 10. Compare numerators: 4, 9, 12, 14. So order is $\frac{4}{10}$, $\frac{9}{10}$, $\frac{12}{10}$, $1\frac{4}{10}$.

Answer:

a) $\frac{3}{8}$, $\frac{5}{8}$, $\frac{7}{8}$, $\frac{10}{8}$
b) $\frac{4}{10}$, $\frac{9}{10}$, $\frac{12}{10}$, $1\frac{4}{10}$