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Mid-Unit 2 Review (Rational Numbers)

Total questions: 33

Worksheet time: 2hrs 7mins

Name
Class
Date
1.

Classify  23\frac{2}{3}  .  Check all that apply. 



(Use the Real Numbers Venn Diagram in your notes.) 

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

e)

Real Number

2.

Classify -6. Check all that apply.


(Use the Real Numbers Venn Diagram in your notes.)

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

e)

Real Number

3.

Classify 5. Check all that apply.


(Use the Real Numbers Venn Diagram in your notes.)

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

e)

Real Number

4.

Classify  π\pi  (pi).  Check all that apply.


(Use the Real Numbers Venn Diagram in your notes.) 

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Natural Number

e)

Irrational Number

5.

Write  25\frac{2}{5}  as a decimal.


(Hint: Divide.  Top number goes in the house and write it like money.)

a)

0.4

b)

2.5

c)

0.2

d)

0.3

6.

Write  −79-\frac{7}{9}  as a decimal.


(Hint: Divide.  Top number goes in the house and write it like money.)

a)

 −0.7‾-0.\overline{7}  

b)

-0.7

c)

-7.9

d)

 −0.9‾-0.\overline{9}  

7.

Write  34\frac{3}{4}  as a decimal.


(Hint: Divide.  Top number goes in the house and write it like money.)

a)

0.75

b)

3.4

c)

0.25

d)

0.5

8.

Write  58\frac{5}{8}  as a decimal.


(Hint: Divide.  Top number goes in the house and write it like money.)

a)

0.625

b)

5.8

c)

0.62

d)

0.58

9.

Write 0.3 as a fraction in simplest form.


(Hint:  Get excited, upside down and simplify.)

a)

310\frac{3}{10}

b)

3100\frac{3}{100}

c)

13\frac{1}{3}

d)

39\frac{3}{9}

10.

Write -0.45 as a fraction in simplest form.


(Hint:  Get excited, upside down and simplify.)

a)

−45100-\frac{45}{100}

b)

−920-\frac{9}{20}

c)

−4510-\frac{45}{10}

d)

−45-\frac{4}{5}

11.

Write  3.63.6  as a mixed number in simplest form.


(Hint:  Get excited, upside down and simplify.)

a)

 3 6103\ \frac{6}{10}  

b)

 3 353\ \frac{3}{5}  

c)

 36\frac{3}{6}  

d)

 3 123\ \frac{1}{2}  

12.

Which of these fractions is a repeating decimal?

a)

59\frac{5}{9}

b)

12\frac{1}{2}

c)

45\frac{4}{5}

d)

14\frac{1}{4}

13.

Which of these fractions is a terminating decimal?

a)

34\frac{3}{4}

b)

59\frac{5}{9}

c)

29\frac{2}{9}

d)

−89-\frac{8}{9}

14.

Compare  35\frac{3}{5}  _____  56\frac{5}{6}  


(Hint:  Cross-multiply.)

a)

<

b)

>

c)

=

15.

Compare  23\frac{2}{3}  _____  89\frac{8}{9}  


(Hint:  Cross-multiply.)

a)

<

b)

>

c)

=

16.

Compare  −57-\frac{5}{7}  _____  −89-\frac{8}{9}  


(Hint:  Cross-multiply.)

a)

>

b)

<

c)

=

17.

Compare  5 155\ \frac{1}{5}  _____  5 285\ \frac{2}{8}  

a)

>

b)

<

c)

=

18.

Compare  −27-\frac{2}{7}  _____  −57-\frac{5}{7}  


(Hint:  Cross-multiply.)

a)

>

b)

<

c)

=

19.

Compare  58\frac{5}{8}  _____  1016\frac{10}{16}  


(Hint:  Cross-multiply.)

a)

>

b)

<

c)

=

20.

Order the following set of numbers from least to greatest.

{ 14,  0.24,  15,  0.18\frac{1}{4},\ \ 0.24,\ \ \frac{1}{5},\ \ 0.18  }

(Hint:  Change them all to decimals, line them up, think money.)

a)

{ 0.18,  15,  0.24,  140.18,\ \ \frac{1}{5},\ \ 0.24,\ \ \frac{1}{4}  }

b)

{ 0.18,  0.24,  15,  140.18,\ \ 0.24,\ \ \frac{1}{5},\ \ \frac{1}{4}  }

c)

{ 15,  0.18,  14,  0.24\frac{1}{5},\ \ 0.18,\ \ \frac{1}{4},\ \ 0.24  }

d)

{ 0.24, 14, 15,  0.180.24,\ \frac{1}{4},\ \frac{1}{5},\ \ 0.18  }

21.

Which animal is the smallest mammal?

a)

chipmunk

b)

mole

c)

shrew

d)

mouse

22.

Which animal is the largest mammal?


(Hint: Change them all to decimals, line them up, think money.)

a)

chipmunk

b)

mole

c)

shrew

d)

mouse

23.

Add   19 + 49\frac{1}{9}\ +\ \frac{4}{9}  


Make sure your answer is in simplest form.

a)

 59\frac{5}{9}  

b)

 518\frac{5}{18}  

c)

 581\frac{5}{81}  

d)

 58\frac{5}{8}  

24.

Add  18 + 38\frac{1}{8}\ +\ \frac{3}{8}  


Make sure your answer is in simples form.

a)

 48\frac{4}{8}  

b)

 416\frac{4}{16}  

c)

 12\frac{1}{2}  

d)

 24\frac{2}{4}  

25.

Add  35 + 45\frac{3}{5}\ +\ \frac{4}{5}  


Be sure your answer is in simplest form.

a)

 75\frac{7}{5}  

b)

 1 251\ \frac{2}{5}  

c)

 57\frac{5}{7}  

d)

 710\frac{7}{10}  

26.

Add  12 + 15\frac{1}{2}\ +\ \frac{1}{5}  


Be sure your answer is in simplest form.

a)

 27\frac{2}{7}  

b)

 710\frac{7}{10}  

c)

 210\frac{2}{10}  

d)

 15\frac{1}{5}  

27.

Add  5 13 + 2 255\ \frac{1}{3}\ +\ 2\ \frac{2}{5}  


Be sure your answer is in simplest form.

a)

 7 11157\ \frac{11}{15}  

b)

 7 387\ \frac{3}{8}  

c)

 7 3157\ \frac{3}{15}  

d)

 7 157\ \frac{1}{5}  

28.

Add  6 27 + 3 3146\ \frac{2}{7}\ +\ 3\ \frac{3}{14}  


Be sure your answer is in simplest form.

a)

 9 129\ \frac{1}{2}  

b)

 9 7149\ \frac{7}{14}  

c)

 9 5219\ \frac{5}{21}  

d)

 9 5149\ \frac{5}{14}  

29.

Add  2 45 + 1 142\ \frac{4}{5}\ +\ 1\ \frac{1}{4}  


Be sure your answer is in simplest form.

a)

 3 21203\ \frac{21}{20}  

b)

 4 1204\ \frac{1}{20}  

c)

 3 1203\ \frac{1}{20}  

d)

 3 593\ \frac{5}{9}  

30.

Subtract  56 − 36\frac{5}{6}\ -\ \frac{3}{6}  


Be sure your answer is in simplest form.

a)

 26\frac{2}{6}  

b)

 13\frac{1}{3}  

c)

 20\frac{2}{0}  

d)

 812\frac{8}{12}  

31.

Subtract  5 45 − 1 255\ \frac{4}{5}\ -\ 1\ \frac{2}{5}  


Be sure your answer is in simplest form.

a)

 4 254\ \frac{2}{5}  

b)

 4 204\ \frac{2}{0}  

c)

 4 6104\ \frac{6}{10}  

d)

 4 354\ \frac{3}{5}  

32.

Subtract  8 45 − 6 1108\ \frac{4}{5}\ -\ 6\ \frac{1}{10}  


Be sure your answer is in simplest form.

a)

 2 7102\ \frac{7}{10}  

b)

 2 3102\ \frac{3}{10}  

c)

 2 352\ \frac{3}{5}  

d)

 2 2102\ \frac{2}{10}  

33.

Subtract  5 56 − 1 135\ \frac{5}{6}\ -\ 1\ \frac{1}{3}  


Be sure your answer is in simplest form.

a)

 4 364\ \frac{3}{6}  

b)

 4 124\ \frac{1}{2}  

c)

 4 434\ \frac{4}{3}  

d)

 4 344\ \frac{3}{4}