Kurikulum Merdeka Matematika Kelas 7 Bab 1 Bilangan Bulat

Introduction

This tutorial focuses on the fundamental concepts of integer numbers as presented in the "Kurikulum Merdeka Matematika Kelas 7 Bab 1 Bilangan Bulat" video. It aims to provide a step-by-step guide to understanding integers, their properties, and practical applications in mathematics. This knowledge is essential for seventh-grade students learning under the Merdeka Curriculum.

Step 1: Understanding Integer Numbers

• Definition: Integers are whole numbers that can be positive, negative, or zero.
• Examples of Integers:
  • Positive integers: 1, 2, 3, ...
  • Negative integers: -1, -2, -3, ...
  • Zero: 0
• Visual Representation: Use a number line to illustrate the position of integers. Positive integers are to the right of zero, while negative integers are to the left.

Step 2: Properties of Integers

• Closure Property: The sum or product of two integers is always an integer.
• Associative Property:
  • Addition: (a + b) + c = a + (b + c)
  • Multiplication: (a × b) × c = a × (b × c)
• Commutative Property:
  • Addition: a + b = b + a
  • Multiplication: a × b = b × a
• Identity Element:
  • The identity for addition is 0 (a + 0 = a).
  • The identity for multiplication is 1 (a × 1 = a).

Step 3: Adding and Subtracting Integers

• Adding Positive and Negative Integers:

  • If both integers are the same sign, add their absolute values and keep the sign.
  • If the integers have different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the integer with the larger absolute value.

• Example:

  • (-3) + 5 = 2 (subtract 3 from 5)
  • 4 + (-7) = -3 (subtract 4 from 7 and keep the negative sign)

• Subtracting Integers:

  • To subtract an integer, add its opposite.
  • Example: a - b = a + (-b)

Step 4: Multiplying and Dividing Integers

• Rules for Multiplication:

  • Positive × Positive = Positive
  • Negative × Negative = Positive
  • Positive × Negative = Negative
  • Negative × Positive = Negative

• Rules for Division:

  • The same rules apply as for multiplication.

• Example:

  • (-4) × (-2) = 8
  • 6 ÷ (-2) = -3

Step 5: Real-World Applications of Integers

• Practical Uses:
  • Integers can represent temperatures (above or below zero).
  • Financial contexts, such as profit (positive) and loss (negative).
  • Elevations, where sea level is zero, and above/below sea level is represented with positive and negative integers.

Conclusion

This tutorial has provided an overview of integer numbers, their properties, and operations. Understanding integers is crucial for further mathematical concepts and real-world applications. As a next step, practice with exercises involving addition, subtraction, multiplication, and division of integers to reinforce these concepts. For additional resources, consider visiting the provided educational links or using related apps for further learning.