Rational Numbers Introduction

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$Rational numbers illustration showing fractions, decimals and percentages$

🔢 Part 1: Understanding Rational Numbers

1. A rational number is any number that can be written as a fraction where both the numerator and denominator are integers. Circle all the rational numbers below:

1/2

0.75

25%

3.142

-2/3

2. Fill in the blanks using the correct mathematical vocabulary:

In the fraction 3/4, the number 3 is called the _____________ and the number 4 is called the _____________.

The decimal 0.250 has _______ decimal places.

When two numbers represent the same value (like 1/2 and 0.5), we say they are _____________.

🎯 Part 2: Identifying Equivalent Forms

3. Match each fraction with its equivalent decimal and percentage:

1. 1/2

2. 1/4

3. 3/4

4. 1/5

A. 0.25 and 25%

B. 0.5 and 50%

C. 0.75 and 75%

D. 0.2 and 20%

4. Which of these represents the largest value?

3/5

0.65

58%

7/10

📊 Part 3: Real-Life Applications

5. Sarah scored 18 out of 25 marks on her maths test. Express her score as:

a) A fraction in simplest form: ___________

b) A decimal: ___________

c) A percentage: ___________%

6. At the school canteen, 0.6 of students bought lunch. What fraction and percentage of students is this?

7. A rugby team won 75% of their games this season. If they played 20 games, how many did they win? Show this as a fraction and explain your working:

🎨 Part 4: Visual Representations

8. Draw and shade a rectangle to show 3/8. Then write this as a decimal and percentage:

3/8 = _______ = _______%

9. Order these rational numbers from smallest to largest:

0.4, 3/8, 45%, 2/5, 0.38

Smallest: _____ → _____ → _____ → _____ → _____ :Largest

10. Explain in your own words what makes a number "rational". Give three examples of rational numbers in different forms:

🤔 Part 5: Challenge Questions

11. A shop is having a sale. A jacket originally costs $80. It's reduced by 1/4. What is the sale price?

12. True or False? Tick the correct box for each statement:

True

False: All decimals are rational numbers

True

False: 0.333... can be written as 1/3

True

False: Percentages greater than 100% are not rational

True

False: -1/2 is a rational number

13. Reflection: What was the most interesting thing you learned about rational numbers today? What questions do you still have?

Rational Numbers Introduction

Rational Numbers Introduction

🔢 Part 1: Understanding Rational Numbers

🎯 Part 2: Identifying Equivalent Forms

📊 Part 3: Real-Life Applications

🎨 Part 4: Visual Representations

🤔 Part 5: Challenge Questions

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