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Year 8 Math: Numerical Sets Worksheet

The document is a mathematics worksheet for 8th year students covering numerical sets and concepts involving rational and irrational numbers. It contains 12 multiple choice and short answer questions asking students to classify numbers as rational or irrational, identify which numerical sets they belong to, find square roots, and convert repeating decimals to fractions.

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LC Teixeira Coelho
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365 views3 pages

Year 8 Math: Numerical Sets Worksheet

The document is a mathematics worksheet for 8th year students covering numerical sets and concepts involving rational and irrational numbers. It contains 12 multiple choice and short answer questions asking students to classify numbers as rational or irrational, identify which numerical sets they belong to, find square roots, and convert repeating decimals to fractions.

Uploaded by

LC Teixeira Coelho
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Maple Bear Canadian School Barra da Tijuca

Mathematics/Year 8
Mr. Luiz Coelho
Unit 1: Numerical Sets
Activities – Worksheet 2

Name: _________________________________________________________________________________________

1. Classify the following numbers as either rational or irrational.

a) √5

b) 1. 3&

c) 𝜋

d) √16

e) 0. &&&&&
568

f) √17

2. Analyze these numbers:

a) Which ones are natural numbers?

b) Which ones are integer numbers?

c) Which ones are rational numbers?

d) Which ones are irrational numbers?

e) Which ones are real numbers?

3. Which number is closest in value to √60 ?

a) 7.6 b) 7.7 c) 7.8 d) 7.9

4. Fill in the blanks with either < or >.

a) -8.1 _____ -8.09

b) 1.5 _____ √2
./
c) 0
_____ -1

d) -4 _____ -√19

e) √10 _____ 3.1


5. For each question, choose TRUE if you think it is correct and FALSE if you think there is a mistake.

a) √5 is an irrational number. c TRUE c FALSE


.2
b) 0
is a real number. c TRUE c FALSE

c) 2√3 is not an irrational number. c TRUE c FALSE


34
d) is a rational number. c TRUE c FALSE
/

5
e) 0 is not a rational number. c TRUE c FALSE

6. Mark all numerical sets each number belongs to.

a) 256 cℕ cℤ cℚ c𝕀 cℝ
35
b) ;
cℕ cℤ cℚ c𝕀 cℝ

c) -3.64 cℕ cℤ cℚ c𝕀 cℝ

d) √7 cℕ cℤ cℚ c𝕀 cℝ
.5<
e) 0
cℕ cℤ cℚ c𝕀 cℝ
/
f) cℕ cℤ cℚ c𝕀 cℝ
35

7. Find two examples of numbers that belong to:

a) ℤ

b) ℚ, and are between -5 and 5.

c) 𝕀, and are greater than 10 and less than 20.

8. Look at the following image. It depicts a way of finding the square root of two (√2) using basic geometry. Can you
explain how? Use your own words.
9. The number 0.1223334444…, whose decimal part is composed by one digit 1, two digits 2, three digits 3, four digits
4, and so on…

a) is a rational or irrational number?

b) belongs to the set of real numbers?

10. Find the closest integers to each one of the following irrational numbers:

a. √6

b) -√11

c) -√28

d) √128

11. Which one of the following numbers is closer to 1? Is it a rational or an irrational number?

12. Which one of the following numbers does not belong to ℝ? Why?

13. Find the fraction that produced each one of those repeating (or recurring) decimals.

a) 1.43&

&&&&
b) 0.912

c) 2.431&

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