How are the numbers 0.444 and \(0.\overline{4}\) the same? How are they different?

Write each fraction as a decimal.

1. \(\frac{5}{9}\)
2. \(\frac{5}{4}\)
3. \(\frac{48}{99}\)
4. \(\frac{5}{99}\)
5. \(\frac{7}{100}\)
6. \(\frac{53}{90}\)

Write each decimal as a fraction.

1. \(0.\overline{7}\)

2. \(0.\overline{2}\)

3. \(0.1\overline{3}\)

4. \(0.\overline{14}\)

5. \(0.\overline{03}\)

6. \(0.6\overline{38}\)

7. \(0.52\overline{4}\)

8. \(0.1\overline{5}\)

\(2.2^2 = 4.84\) and \(2.3^2 = 5.29\).

This gives some information about \(\sqrt 5\).

Without directly calculating the square root, plot \(\sqrt{5}\) on all three number lines using successive approximation.

Which of the following numbers are rational?

\(\displaystyle \frac94, \text-9, \sqrt9, \sqrt{11}, \sqrt\frac{16}{25}, \sqrt\frac{100}{7}\)