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Integers | Year 7 Mathematics IGCSE (Cambridge) PDF Download
Understanding Integers
Integers are whole numbers that can be positive or negative, including zero. They are used to represent quantities in real-world situations where direction or debt needs to be considered.
Examples
- Positive integers: 1, 2, 3
- Negative integers: -1, -2, -3
- Zero: 0
Real-World Examples
- Temperature: Positive integers for temperatures above zero, negative integers for temperatures below zero.
- Finance: Positive integers for money earned or gained, negative integers for debts or losses.
Operations with Integers
Addition and Subtraction
- Adding Integers: When adding integers with the same sign, add their absolute values and keep the sign.
- Example: 3 + 5 = 8
- Example: −3 + (−5) = −8
- Subtracting Integers: Subtracting integers is similar to adding but with different signs.
- Example: 3 − 5 = −2
- Example: −3 − (−5) = 2
Multiplication and Division
- Multiplying Integers: The product of two integers with the same sign is positive; with different signs, it's negative.
- Example: 3 × 5 = 15
- Example: −3 × (−5) = 15
- Example: −3 × 5 = −15
- Dividing Integers: Division of integers can result in positive or negative quotients depending on the signs.
- Example: 15 ÷ 3 = 5
- Example: 15 ÷ (−3) = −5
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Integers
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Examples in Context
- Adding/Subtracting Finances: Adding income (+) and subtracting expenses (-).
- Multiplying/Dividing Temperatures: Multiplying temperature changes (e.g., −2 times −3 degrees).
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Summary
Understanding integers is essential for dealing with both positive and negative numbers in various contexts, from temperature changes to financial transactions. Mastering operations with integers involves knowing how to add, subtract, multiply, and divide them effectively, reflecting real-world scenarios accurately.
Question for Integers
Try yourself:
What is the result of multiplying -4 by 7?View Solution
The document Integers | Year 7 Mathematics IGCSE (Cambridge) is a part of the Year 7 Course Year 7 Mathematics IGCSE (Cambridge).
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FAQs on Integers - Year 7 Mathematics IGCSE (Cambridge)
| 1. How do you multiply two positive integers? |  |
| 2. What happens when you multiply a positive integer by a negative integer? | |
Ans. When you multiply a positive integer by a negative integer, the result will always be a negative integer.
| 3. How do you divide a negative integer by a positive integer? | |
Ans. To divide a negative integer by a positive integer, perform the division as usual and the result will be a negative integer.
| 4. Can you explain how to multiply a negative integer by another negative integer? | |
Ans. When multiplying two negative integers, the result will always be a positive integer. To find the product, multiply the two numbers together and then make the result positive.
| 5. What happens when you divide a positive integer by a negative integer? | |
Ans. When dividing a positive integer by a negative integer, the result will always be a negative integer. Perform the division as usual and the quotient will be negative.
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Document Description: Integers for Year 7 2025 is part of Year 7 Mathematics IGCSE (Cambridge) preparation.
The notes and questions for Integers have been prepared according to the Year 7 exam syllabus. Information about Integers covers topics
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