🔢 Part 1: Identifying Rational Numbers

1. Circle all the rational numbers (numbers that can be written as fractions):

1/2

0.75

π (pi)

3.5

√2

2/3

2. Which of these is an irrational number?

0.25

3/4

π (pi)

1.5

3. Convert these fractions to decimals:

a) 1/2 = _______

b) 3/4 = _______

c) 1/4 = _______

d) 2/5 = _______

📏 Part 2: Number Line Activities

4. Draw a number line from 0 to 3 and mark these numbers on it:

Numbers to mark: 0.5, 1.25, 2.75, π (approximately 3.14)

5. Order these numbers from smallest to largest:

Numbers: 2.5, 1/2, π, 3.1, 7/4

Smallest to largest: _________________, _________________, _________________, _________________, _________________

🧮 Part 3: Understanding Irrational Numbers

6. Fill in the blanks about irrational numbers:

Irrational numbers are numbers that _____________ be written as simple fractions. They have decimal expansions that go on _____________ without repeating. Two famous examples are _____ and _____.

7. Match each number with its type:

1. 0.333...

2. √2

3. 5/8

4. π

5. 2.75

A. Rational (fraction)

B. Irrational

C. Rational (decimal)

D. Rational (repeating decimal)

E. Irrational

🎯 Part 4: Problem Solving

8. Sarah is measuring fabric for a school project. She needs 2.5 metres of blue fabric and 3/4 metres of red fabric. How much fabric does she need in total?

9. A circular garden has a radius of 2 metres. The circumference involves π. Is the exact circumference a rational or irrational number? Explain your answer.

10. True or False? Circle your answer and explain:

Statement: All decimals that end (like 0.25) are rational numbers.

True

False

Explanation: _________________________________________________