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Repeated Addition: Definition and Example | EDU.COM

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Repeated Addition: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Repeated AdditionRepeated Addition: Definition and ExampleTable of ContentsDefinition of Repeated Addition

Repeated addition is a fundamental mathematical process that involves adding equal groups together. It forms the foundation for understanding multiplication, making it an essential concept for early math education. When we add the same number multiple times, we are performing repeated addition. For example, if we have 555 groups with 333 items in each group, we can represent this as 3+3+3+3+3=153 + 3 + 3 + 3 + 3 = 153+3+3+3+3=15, which is equivalent to 5×3=155 × 3 = 155×3=15.

Repeated addition serves as a precursor to multiplication and provides an intuitive pathway for children to develop from addition to multiplication understanding. When equal groups are being added, the operation can be written as either repeated addition or multiplication. For instance, the addition of 4+4+44 + 4 + 44+4+4 can be written as 3×4=123 × 4 = 123×4=12, while 7+7+7+77 + 7 + 7 + 77+7+7+7 can be expressed as 4×7=284 × 7 = 284×7=28. This relationship between repeated addition and multiplication helps children visualize and understand multiplication as groups of equal size.

Examples of Repeated Addition Example 1: Counting Objects in Equal Groups Problem:

What is the total number of counters in a figure that has 3 counters in each column with 4 columns total?

Step-by-step solution:

Step 1, identify what we know:

Each column contains 3 counters There are 4 columns total

Step 2, represent this as repeated addition:

Since we have 4 columns with 3 counters each, we add 3 four times 3+3+3+33 + 3 + 3 + 33+3+3+3

Step 3, calculate the sum:

3+3+3+3=123 + 3 + 3 + 3 = 123+3+3+3=12 Alternatively, use multiplication: 4×3=124 \times 3 = 124×3=12

Step 4, therefore, there are 12 counters in total.

Example 2: Real-World Application Problem:

Andrew purchased 3 packages of muffins. Each package contained 4 muffins. How many muffins did Andrew purchase?

Step-by-step solution:

Step 1, identify the key information:

Andrew bought 3 packages Each package has 4 muffins We need to find the total number of muffins

Step 2, set up the repeated addition:

3 packages with 4 muffins each means we add 4 muffins three times 4+4+44 + 4 + 44+4+4

Step 3, calculate the sum:

4+4+4=124 + 4 + 4 = 124+4+4=12 Alternatively, express this as multiplication: 3×4=123 \times 4 = 123×4=12

Step 4, therefore, Andrew purchased 12 muffins in total.

Example 3: Multiple Representations of an Array Problem:

Is the addition equation for an array with 2 rows and 5 columns represented by 2+2+2+2+2=102 + 2 + 2 + 2 + 2 = 102+2+2+2+2=10 OR 5+5=105 + 5 = 105+5=10? Explain why both equations might be correct.

Step-by-step solution:

Step 1, visualize the array:

An array with 2 rows and 5 columns has 10 objects arranged in a rectangular pattern Each object belongs to both a row and a column

Step 2, analyze the first equation 2+2+2+2+2=102 + 2 + 2 + 2 + 2 = 102+2+2+2+2=10:

This represents looking at the array by columns We have 5 columns with 2 objects in each column Adding 2 five times gives us 10

Step 3, analyze the second equation 5+5=105 + 5 = 105+5=10:

This represents looking at the array by rows We have 2 rows with 5 objects in each row Adding 5 twice gives us 10

Step 4, key insight: The same array can be viewed in different ways, leading to different but equivalent repeated addition equations

Columns view: 2+2+2+2+2=5×2=102 + 2 + 2 + 2 + 2 = 5 \times 2 = 102+2+2+2+2=5×2=10 Rows view: 5+5=2×5=105 + 5 = 2 \times 5 = 105+5=2×5=10

Step 5, therefore, both equations correctly represent the given array, just from different perspectives.

Comments(6)MCMs. CarterSeptember 17, 2025I’ve been using the repeated addition examples from this page to help my kids understand multiplication. It’s so much easier for them to grasp when we break it down into equal groups!

MCMs. CarterSeptember 10, 2025I’ve been using the repeated addition examples from this page to help my kids grasp multiplication, and it’s been a game-changer! They love breaking problems into smaller steps, and their confidence with numbers is growing. Thanks for making math so clear!

NNatureLover85August 27, 2025I’ve been using this definition to help my kids understand multiplication, and it’s been a game-changer! The examples are so clear, and they really make the concept of equal groups click.

MCMs. CarterAugust 20, 2025I’ve used the repeated addition examples on this page to help my kids grasp multiplication basics. It’s such a simple yet effective way to build their confidence with math!

MMathMom75August 6, 2025I’ve used this definition to teach my kids multiplication—it’s made math so much easier! Explaining it as “adding equal groups” clicked for them. I’d recommend pairing it with real-life examples like counting apples or toys.

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