Understanding Integers: A Comprehensive 7th Grade Worksheet
Integers are whole numbers, either positive, negative, or zero, without a fractional part. They are a fundamental concept in mathematics, and understanding them is crucial for problem-solving in various mathematical operations. In this worksheet, we will explore the world of integers, covering their basics, operations, and applications.
What are Integers?
Integers include all whole numbers, which can be either positive, negative, or zero. For example:
- Positive integers: 1, 2, 3,…
- Negative integers: -1, -2, -3,…
- Zero: 0
Operations with Integers
When performing operations with integers, it’s essential to remember the following rules:
- Addition: When adding integers with the same sign, add their absolute values and keep the same sign.
- Subtraction: When subtracting integers with different signs, subtract their absolute values and keep the sign of the first integer.
- Multiplication: When multiplying integers with the same sign, multiply their absolute values and keep the same sign.
- Division: When dividing integers with the same sign, divide their absolute values and keep the same sign.
Examples and Exercises
Let’s practice with some examples:
- 5 + 3 =?
- -2 + (-4) =?
- 7 - 2 =?
- -1 × 6 =?
- 9 ÷ 3 =?
Solutions:
- 5 + 3 = 8
- -2 + (-4) = -6
- 7 - 2 = 5
- -1 × 6 = -6
- 9 ÷ 3 = 3
Integer Operations Table
| Operation | Rule | Example | Solution |
|---|---|---|---|
| Addition | Add absolute values, keep same sign | 2 + 3 | 5 |
| Subtraction | Subtract absolute values, keep sign of first integer | 7 - 2 | 5 |
| Multiplication | Multiply absolute values, keep same sign | -1 × 6 | -6 |
| Division | Divide absolute values, keep same sign | 9 ÷ 3 | 3 |
Real-World Applications of Integers
Integers are used in various real-world scenarios, such as:
- Temperature: -5°C, 0°C, 10°C
- Money: -50, 0, $100
- Altitude: -100m, 0m, 500m
Conclusion
Integers are a fundamental concept in mathematics, and understanding their basics and operations is crucial for problem-solving. By practicing with examples and exercises, you can develop a strong foundation in integers and apply them to real-world scenarios.
What is the definition of an integer?
+An integer is a whole number, either positive, negative, or zero, without a fractional part.
What are the rules for adding integers with the same sign?
+When adding integers with the same sign, add their absolute values and keep the same sign.
What are some real-world applications of integers?
+Integers are used in various real-world scenarios, such as temperature, money, and altitude.
Related Terms:
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- Integers Questions for Class 7
- Integers grade 7
- Fractions grade 7 questions
- Integers worksheet addition and subtraction
- Math Integers Worksheet Grade 6
