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Rational Numbers Introduction

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Rational Numbers Introduction

Rational Numbers Introduction

Rational numbers illustration showing fractions, decimals and percentages

🔢 Part 1: Understanding Rational Numbers

1. What is a rational number? Complete the definition:

A rational number is any number that can be expressed as a ____________.

2. Circle all the examples that are rational numbers:

1/2

0.75

50%

3.14

2/3

3. Match the mathematical terms with their meanings:
1. Numerator
2. Denominator
3. Decimal place
A. The bottom number in a fraction
B. The position of a digit after the decimal point
C. The top number in a fraction

🔄 Part 2: Converting Between Forms

4. Complete the equivalent forms for each rational number:

a) 1/2 = _____ (decimal) = _____% (percentage)

b) 0.25 = _____ (fraction) = _____% (percentage)

c) 75% = _____ (decimal) = _____ (fraction)

d) 3/4 = _____ (decimal) = _____% (percentage)

5. Show your working for converting 3/5 to a decimal:
6. Which of these represents the largest value?

0.6

3/5

58%

7/10

📊 Part 3: Visual Representations

7. Draw a number line from 0 to 1 and mark the following rational numbers:

0.25, 1/2, 0.75, 3/4

8. Shade the grid below to represent 3/10 (30%):
9. If you fold a piece of paper in half, then in half again, what fraction does each section represent?

🏪 Part 4: Real-World Applications

10. At the school canteen, a meat pie costs $4.50. Express this price as:

a) A decimal: $ _____

b) A fraction (in dollars): _____ dollars

c) In cents: _____ cents

11. Sarah completed 7 out of 10 homework questions correctly. Express her score as:

a) A fraction: _____

b) A decimal: _____

c) A percentage: _____%

12. Which represents better value for money?

1/4 of a pizza for $3.00

0.3 of a pizza for $3.50

25% of a pizza for $2.75

13. Explain your reasoning for question 12:

🤔 Part 5: Critical Thinking

14. True or False: All decimals are rational numbers.

True

False

15. Explain your answer to question 14:
16. Create your own example of a rational number from everyday life and show it in three different forms:

My example: _________________________________

Fraction form: _____

Decimal form: _____

Percentage form: _____%

17. Challenge: Order these rational numbers from smallest to largest:

0.6, 5/8, 58%, 3/5, 0.65

Answer: _____ < _____ < _____ < _____ < _____

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