Unit Review: Rational & irrational numbers

D.1Write rational or irrational.

1. 1
   $\pi$ 
2. 2
   $\frac{1}{7}$ 
3. 3
   $0.\overline{6}$ 
4. 4
   $\sqrt{130}$ 

D.2List every set the number belongs to: natural, whole, integer, rational, irrational.

1. 5
   $-\frac{15}{7}$
2. 6
   $\pi$
3. 7
   $\sqrt{103}$
4. 8
   $-2$

D.3Write each as a fraction or mixed number in simplest form.

1. 9
   $0.3\overline{5}=$ 
2. 10
   $0.08\overline{3}=$ 
3. 11
   $0.7\overline{2}=$ 
4. 12
   $0.6\overline{1}=$ 

D.4Write > or < in each circle.

1. 13
   $10.6$$\sqrt{110}$
2. 14
   $2.\overline{3}$$2.34$
3. 15
   $\sqrt{3}$$\frac{3}{2}$
4. 16
   $2.\overline{45}$$2.45$

D.5Write the numbers in the order shown.

1. 17
   Greatest to least: $3.\overline{2}$; $\sqrt{6}$; $3.\overline{72}$; $\pi$
2. 18
   Greatest to least: $4.\overline{6}$; $4.\overline{3}$; $\sqrt{19}$; $\sqrt{13}$
3. 19
   Greatest to least: $6.94$; $7.13$; $\sqrt{50}$; $\frac{34}{5}$
4. 20
   Least to greatest: $\pi$; $\sqrt{11}$; $\sqrt{7}$; $2.\overline{6}$

D.1Rational or Irrational?

1. 1irrational
2. 2rational
3. 3rational
4. 4irrational

D.2Classify Real Numbers

1. 5rational
2. 6irrational
3. 7irrational
4. 8integer, rational

D.3Repeating Decimals to Fractions

1. 9$\frac{16}{45}$
2. 10$\frac{1}{12}$
3. 11$\frac{13}{18}$
4. 12$\frac{11}{18}$

D.4Compare Real Numbers

1. 13>
2. 14<
3. 15>
4. 16>

D.5Order Real Numbers

1. 17$3.\overline{72}$ > $3.\overline{2}$ > $\pi$ > $\sqrt{6}$
2. 18$4.\overline{6}$ > $\sqrt{19}$ > $4.\overline{3}$ > $\sqrt{13}$
3. 19$7.13$ > $\sqrt{50}$ > $6.94$ > $\frac{34}{5}$
4. 20$\sqrt{7}$ < $2.\overline{6}$ < $\pi$ < $\sqrt{11}$