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Rational Numbers Introduction

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Rational Numbers Introduction

Rational Numbers Introduction

Rational numbers illustration

🔢 Part 1: Understanding Rational Numbers

1. A rational number is a number that can be written as a fraction a/b where b ≠ 0. Circle all the rational numbers below:

0.5

1/3

75%

0.25

2/7

2. Which of these statements about rational numbers is correct?

Rational numbers can only be written as fractions

Rational numbers can be fractions, decimals, or percentages

Rational numbers are only whole numbers

Rational numbers cannot be negative

🔄 Part 2: Converting Between Forms

3. Convert 1/2 to a decimal and percentage:

1/2 = _______ (decimal) = _______% (percentage)

4. Convert 0.25 to a fraction and percentage:

0.25 = _______ (fraction) = _______% (percentage)

5. Convert 75% to a fraction and decimal:

75% = _______ (fraction) = _______ (decimal)

6. Complete the table by filling in the missing forms:
Fraction Decimal Percentage
1/4 _______ _______
_______ 0.6 _______
_______ _______ 80%

🎯 Part 3: Matching Equivalent Forms

7. Match each fraction with its equivalent decimal and percentage:
1. 1/5
2. 3/4
3. 1/10
4. 2/5
A. 0.75 and 75%
B. 0.2 and 20%
C. 0.4 and 40%
D. 0.1 and 10%

📊 Part 4: Ordering and Comparing

8. Order these rational numbers from smallest to largest:

Numbers: 0.3, 1/2, 25%, 0.8, 3/4

Order: _____ < _____ < _____ < _____ < _____

9. Which is larger? Circle your answer and show your working:

a) 0.6 or 5/8? Answer: _______

b) 70% or 3/4? Answer: _______

🎨 Part 5: Visual Representation

10. Draw and shade a 10×10 grid (100 squares) to represent 0.35. Then write this as a fraction and percentage:

0.35 = _______ (fraction) = _______% (percentage)

11. On the number line below, mark the positions of: 1/4, 0.5, 75%, and 0.9

0 __________________|__________________|__________________1

💭 Part 6: Problem Solving

12. Sarah scored 18 out of 24 marks on her maths test. Express her score as:

a) A fraction in simplest form: _______

b) A decimal: _______

c) A percentage: _______

13. Explain in your own words what a rational number is and give three examples in different forms:
14. True or False? Explain your reasoning:

a) All whole numbers are rational numbers. _______

b) 0.333... (repeating) is a rational number. _______

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