How to write repeated addition sentences for arrays (by rows)

💡 Definition of Arrays and Repeated Addition

• 📚 An array is a systematic arrangement of objects (like dots, shapes, or numbers) into rows and columns.
• ➕ Repeated addition is a way of expressing multiplication by adding the same number multiple times. For arrays, it helps us count the total number of objects.

📜 A Brief History

• 🕰️ The concept of arrays and repeated addition has ancient roots, used in early counting and organizational systems.
• ✍️ Ancient civilizations like the Egyptians and Babylonians used similar concepts for land surveying and resource management.

🔑 Key Principles: Writing Repeated Addition Sentences for Arrays (by Rows)

• 👁️ Identify the Rows and Columns: First, determine how many rows are in the array.
• 🔢 Count Objects in Each Row: Count the number of objects in each row.
• ✍️ Write the Repeated Addition Sentence: Add the number of objects in each row together, repeating as many times as there are rows.

➕ Real-world Examples

Array	Repeated Addition Sentence (by Rows)
	$3 + 3 = 6$
	$4 + 4 = 8$
	$5 + 5 + 5 = 15$

✅ Conclusion

• 🚀 Writing repeated addition sentences for arrays by rows is a fundamental step in understanding multiplication.
• 🎯 By identifying the rows and counting the objects in each row, you can easily translate an array into a repeated addition sentence.

📚 Definition: Arrays and Repeated Addition

• 💡 An array is an arrangement of objects, pictures, or numbers in rows and columns.
• ➕ Repeated addition is a way to find the total number of items in an array by adding the number of items in each row (or column) together.

📜 History: The Concept's Origin

• 🕰️ Arrays and repeated addition have been used since ancient times to organize and count items.
• 🧮 Early civilizations used arrays to keep track of agricultural products and building materials.

🔑 Key Principles: Writing Repeated Addition Sentences for Arrays (by Rows)

• 👁️ Identify the number of rows in the array.
• 🔢 Count the number of items in each row.
• ✍️ Write a repeated addition sentence by adding the number of items in each row together. For example, if there are 3 rows with 4 items each, the repeated addition sentence would be $4 + 4 + 4$.

🌐 Real-World Examples

Example 1: Egg Carton

Imagine an egg carton with 2 rows and 6 eggs in each row.

• 🥚 Number of rows: 2
• 🔢 Number of eggs in each row: 6
• ✍️ Repeated addition sentence: $6 + 6 = 12$

Example 2: Chocolate Box

Consider a chocolate box with 3 rows and 5 chocolates in each row.

• 🍫 Number of rows: 3
• 🔢 Number of chocolates in each row: 5
• ✍️ Repeated addition sentence: $5 + 5 + 5 = 15$

Example 3: Garden

Imagine a garden with 4 rows of plants, each row containing 7 plants.

• 🌱 Number of rows: 4
• 🔢 Number of plants in each row: 7
• ✍️ Repeated addition sentence: $7 + 7 + 7 + 7 = 28$

📊 Table Representation

✔️ Conclusion

• 🎯 Writing repeated addition sentences for arrays involves identifying the number of rows and the number of items in each row.
• 🧮 This method helps to understand multiplication as repeated addition, simplifying calculations.