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Rational Numbers Introduction
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Rational Numbers Introduction
🔢 Part 1: Understanding Rational Numbers
1. A rational number is any number that can be written as a ________ where both the numerator and denominator are integers.
2. Circle all the examples that are rational numbers:
1/2
0.75
25%
3
-2/3
3. Complete the definition: The top number in a fraction is called the __________ and the bottom number is called the __________.
🎯 Part 2: Identifying Equivalent Forms
4. 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%
5. Which of these represents the largest value?
0.6
3/5
65%
They are all equal
📊 Part 3: Real-Life Applications
6. Sarah scored 18 out of 20 on her maths test. Express her score as:
a) A fraction in simplest form: __________
b) A decimal: __________
c) A percentage: __________%
7. At the school canteen, 0.375 of the students bought lunch. What fraction of students is this?
8. A rugby team won 75% of their games this season. If they played 20 games, how many did they win?
🎨 Part 4: Visual Representations
9. Draw and shade a rectangle to show 3/8. Then write this as a decimal and percentage.
3/8 = __________ = __________%
10. Order these rational numbers from smallest to largest:
0.4, 3/8, 45%, 2/5
11. Explain in your own words what makes a number "rational". Give three examples in different forms.
🧠 Part 5: Challenge Questions
12. Convert these decimals to fractions in simplest form:
a) 0.125 = __________
b) 0.375 = __________
c) 0.875 = __________
13. A shop is offering a 30% discount on a jacket that costs $80. What is the sale price?
14. True or False: All integers are rational numbers. Explain your answer.
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