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## Basics on the topicRepeated Addition: Multiplication

### In this multiplication as repeated addition video...

Chef Squeaks is hosting his cooking show. In this episode, he makes pizzas with different toppings. However, when he reads the multiplication expressions on his recipe cards, he doesn’t know how to solve them! In this video, we teach Chef Squeaks repeated addition. Imani learns what repeated addition is in math too!

Repeated addition is a strategy used to solve multiplication problems. Every multiplication problem can be rewritten as a repeated addition sentence.

Repeated addition is what we call the addition of a number to itself many times. For example, 2 + 2 + 2 + 2 + 2 + 2 = 6 is the repeated addition equation of two added to itself six times. We can recognize multiplication as a shorter way to write repeated addition. This is how repeated addition is like multiplication. Thus, multiplication can always be written as repeated addition.

In multiplication, we call the numbers being multiplied together factors. The first factor tells us how many times we should add the second factor together to find the answer, or product. Repeated addition is actually the operation of multiplication expressed as addition. So, we can use repeated addition to solve multiplication problems. Repeated addition and multiplication sentences can be used to help find products.

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### How do you form repeated addition from multiplication?

Multiplication is related to repeated addition so we can restate any multiplication equation as a repeated addition one:

Begin by looking at the first factor. This number tells us how many spaces to make.

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Next, look at the second factor. This tells us what number to write on the spaces.

Then, write addition signs between each number.

Finally, calculate the sum to determine the product of the original equation.

### What is a repeated addition sentence?

A repeated addition sentence is the expression of a number added to itself multiple times. So, what does repeated addition mean? For example, it means 5 + 5 + 5 = 15 is the repeated addition sentence for five added to itself three times. Repeated addition could also be used as a strategy to solve 5x3.

### What are examples of repeated addition?

A general example of a repeated addition problem

Multiplication with a repeated addition model.

### Summary of Steps: Write a repeated addition sentence

• First, look at the initial factor to determine how many spaces to make.

• Next, look at the second factor to determine what number to write on the spaces.

• Then, write addition signs between each number.

• Finally, calculate the sum to determine the product of the original multiplication equation.

Have you practiced yet? On this website, you can also find 3rd grade and primary resources on repeated addition. Try these word problems and activities on multiplication with repeated addition now. There are many repeated addition worksheets with pictures as well.

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the video Repeated Addition: Multiplication.
• ### Using repeated addition and multiplication.

Hints

There are two ways to solve this: using repeated addition and using multiplication.

There are 5 pizzas, so the 4 pieces of pepperoni need to be added up 5 times.

Solution

There are 5 pizzas in total.

There are 4 pieces of pepperoni on each.

This can be seen as 5 groups of 4 pepperoni pieces or 5 x 4.

It can also be solved by adding the pepperoni pieces from each of the 5 pizzas together, 4 + 4 + 4 + 4 + 4.

• ### Use repeated addition and multiplication.

Hints

How many groups are there? This is your first factor.

How many are in each group? This is your second factor.

Solution

There are 3 vases with 4 flowers

There are 3 groups. Each group has 4 parts.

3 x 4

---

There are 3 groups of 3 chicks

There are 3 groups. Each group has 3 parts.

3 x 3

---

There are 9 pairs of shoes

There are 9 groups. Each group has 2 parts.

9 x 2

---

There are 6 groups of 3 balloons

There are 6 groups. Each group has 3 parts.

6 x 3

---

There are 4 lots of 4 stars

There are 4 groups. Each group has 4 parts.

4 x 4

---

There are 2 lots of 3 mushrooms

There are 2 groups. Each group has 3 parts.

2 x 3

• ### Matching repeated addition with multiplication.

Hints

One pizza with 9 toppings is a group of 9. If there are 3 groups of 9 think about how many spaces you would need and what would go in each space.

For 3 x 9 there would be 3 groups of what amount?

Solution

3 pizzas each with 8 slices can be written as: 3 x 8 OR 8 + 8 + 8.

For the other recipe cards:

3 x 9 = 9 + 9 + 9

4 x 5 = 5 + 5 + 5 + 5

4 x 6 = 6 + 6 + 6 + 6

• ### Highlight the errors for finding the total number of toppings.

Hints

Remember that the first factor in a multiplication expression is how many groups there are. The second factor is how many there are in each group.

For 3 x 4, what do we need to add three times?

Check that the mathematical operation symbol is correct, as well as the digits.

Solution

To find the total number of toppings:

• For the first question, there are 3 pizzas with 9 toppings, this means we need to add 9 three times, so 9 + 9 + 9.
• For the second question, there are 4 pizzas with 5 toppings, this means we need to have 4 groups of 5 or 4 x 5.
• For the third question it says there are 3 pizzas each with 4 toppings, this means we need to add three groups of 4, so 4 + 4 + 4.
• ### Find how many pepperonis are on the pizzas.

Hints

Start by checking how many pizzas there are altogether. Then look at how many pepperoni pieces are on each pizza.

There are 3 pizzas, each with 5 pieces of pepperoni.

Solution

There are 3 pizzas each with 5 pepperoni pieces.

3 x 5 = 15

5 + 5 + 5 = 15

• ### Match the number sentences to the correct image.

Hints

How many groups (pizzas) are there? If there are 6 groups (6 pizzas) then you need to have 6 addends. _+_+_+_+_+_

'groups of' means times/multiply. So 5 groups of 6 means 5 x 6

How many items are on each pizza? This is your second factor. So 7 items would be _ x 7

Solution

The first image is of 5 pizzas each with 7 toppings

5 x 7

5 groups of 7

7 + 7 + 7 + 7 + 7

The second image is of 6 pizzas each with 5 toppings

6 x 5

6 groups of 5

5 + 5 + 5 + 5 + 5 + 5