Activity I Properties of whole Numbers b) \( 2(a-3)=(2 \times a)-(2 \times 3) \) D) \( 3+a=a+3 \) ㅁ) \( 2 \times(3 \times 4)=(2 \times 3) \times 4 \) d) \( 5(a+6)=(5 \times a)+(5 \times 6) \) e) \( \quad(7+c)+d=7+(c+d) \) fी \( 4 \times a=a \times 4 \)

Did you know that the properties of whole numbers, such as the distributive and commutative properties, date back to ancient civilizations? Babylonians and Egyptians were using basic forms of arithmetic over 4,000 years ago! They understood that you could rearrange numbers and group them in different ways, laying the groundwork for modern mathematics as we know it today. Think of real-world applications of these properties! For instance, when you're shopping and see a promotion like "Buy 2, Get 1 Free," you can use distributive properties to determine the total cost efficiently. You can group the items in ways that highlight the best deals—maximizing your savings while still having fun with your purchases!