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Multiplication Is Repeated Addition Explained with Simple Examples

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What Does Multiplication Is Repeated Addition Mean with Definition and Solved Examples

One of the four fundamental mathematical operations, addition, subtraction, multiplication, and division, is multiplication. Multiplication is a process of repeated addition of sets of identically sized objects. Let's use ice cream as an example to better understand.

Group of Ice-creams


Group of Ice-creams


There are two such groupings, each with three ice creams.

6 ice creams total $(3 + 3)$.

You did, however, add two groups of three ice creams. You have therefore multiplied three ice creams by two. It can alternatively be expressed as $(2 \times 3) = 6$.

As we can see, $(2 \times 3)$ and $(3 + 3)$ are equivalent.


Power is a term where multiplication is repeated. The exponent, 2, and base, 5, respectively, are both numbers. The number of times the base is employed as a factor is represented by the exponent.


What is Repeated Addition?

The technique of repeated addition involves combining equal groups. See the diagram below. There are 3 chickens in each of the 5 groups on the diagram.


Pairs of Chicken


Pairs of Chicken


The following repeated addition statement can be used to indicate the overall quantity of oranges: $(3 + 3 + 3 + 3 + 3) \text { or } 15$


Repeated Addition Examples

Let’s give a look at other repeated addition examples.


Example 1. Calculate the total number of boxes in the figure.


Four Group of Three Boxes


Four Group of Three Boxes


Ans: There are 3 boxes in each column and there are 4 columns.

$\text { So, }(3 + 3 + 3 + 3) = (4 \times 3) =12$


Example 2. Each of Raj’s three boxes of markers contains five markers. How many markers does raj have now?

Ans: Each box with five markers indicates that the number five has been repeated three times.

$(5 + 5 + 5) =15 \text { or, }$

This can be represented as an additional formula: $3 \times 5$ equals 15, which is another way to write this as a multiplication phase.

Raj has a total of 15 markers.


Multiplication is Repeated Addition

Multiplication is a repeated Addition that involves joining like groups together. If the same precise number is repeated, repeated addition can be expressed as multiplication. For example,


Three Group of Four Apples


Three Group of Four Apples


In the above diagram, three groups of four apples are there. We can also write them as $(4 + 4 + 4) = (3 \times 4) = 12$.


Learn the multiplication facts by repeating the addition. If you are unfamiliar with the facts for $7 \times 3$, for instance, you might find it simpler to calculate $(7 \times 3)$ by writing $(3 + 3 + 3 + 3 + 3 + 3)$ or $(7 + 7 + 7)$; and then gradually adding. It might be useful when dealing with bigger numbers, such as $(5 \times 40)$. Writing $(40 + 40 + 40 + 40 + 40 + 40)$ and then adding the tens is more convenient.


Example: Three muffin packages were bought by Andrew. Four muffins were included in each packet. What number of muffins did Andrew buy?

Ans: In numerical notation, three packages of four muffins each can be written as $(3 \times 4)$ or $(4 + 4 + 4)$, which is 12.

In total, Andrew purchased 12 muffins.


Practice Question

1. Calculate the total number of boxes in the figure.


Group of Boxes


Group of Boxes


Ans: 10


2. Two pen pockets were bought by Adda. Four pens were included in each packet. What number of pens did Adda buy?

Ans: 8


Summary

Multiplication is a process of repeated addition of sets of identically sized objects. The technique of repeated addition involves combining equal groups. Multiplication is repeated addition which involves joining like groups together. When the same precise number is repeated, repeated addition can be expressed as multiplication.

FAQs on Multiplication Is Repeated Addition Explained with Simple Examples

1. What does multiplication as repeated addition mean?

Multiplication as repeated addition means adding the same number again and again to find the total. In simple terms, a × b means adding a, b times.

  • Example: 3 × 4 means 3 + 3 + 3 + 3.
  • So, 3 + 3 + 3 + 3 = 12.
This concept helps learners understand the basic meaning of multiplication before learning tables and formulas.

2. How do you write multiplication as repeated addition?

You write multiplication as repeated addition by adding the first number as many times as the second number shows. The expression a × b becomes repeated addition of a, b times.

  • Example: 5 × 3
  • Write as: 5 + 5 + 5
  • Total = 15
This method is commonly used in early maths learning to explain how multiplication works.

3. Can you give an example of multiplication as repeated addition?

An example of multiplication as repeated addition is 4 × 6 = 24, which means adding 4 six times.

  • 4 + 4 + 4 + 4 + 4 + 4
  • = 24
This shows that multiplication is simply a faster way to add equal groups.

4. Why is multiplication called repeated addition?

Multiplication is called repeated addition because it represents adding equal groups of the same number. Instead of writing long addition sentences, multiplication gives a shorter form.

  • Example: 2 + 2 + 2 + 2 + 2
  • Short form: 2 × 5 = 10
This makes calculations quicker and easier, especially for larger numbers.

5. What is the formula for multiplication as repeated addition?

The formula for multiplication as repeated addition is a × b = a + a + a (b times). Here, a is the number being added, and b is how many times it is added.

  • Example: 7 × 3
  • 7 + 7 + 7 = 21
This formula explains the relationship between multiplication and addition.

6. What is the difference between multiplication and repeated addition?

Multiplication is the short method, while repeated addition is the expanded form of adding equal numbers. Both give the same result, but multiplication is more efficient.

  • Repeated addition: 6 + 6 + 6 + 6
  • Multiplication: 6 × 4 = 24
Multiplication simplifies long addition problems into a compact mathematical expression.

7. Does multiplication always mean repeated addition?

Multiplication means repeated addition mainly for whole numbers, but it extends beyond that for fractions, decimals, and algebra. For basic arithmetic with natural numbers, multiplication is repeated addition.

  • Example: 3 × 8 = 3 added 8 times.
However, for numbers like 2.5 × 4 or variables in algebra, multiplication represents scaling as well.

8. How do you explain multiplication as repeated addition to a child?

You can explain multiplication to a child by showing it as adding equal groups together. Use simple numbers and objects for clarity.

  • If you have 3 bags with 2 apples each
  • Add: 2 + 2 + 2
  • This equals 3 × 2 = 6
Using pictures, counters, or real objects makes the concept of repeated addition easier to understand.

9. What are equal groups in multiplication?

Equal groups in multiplication are sets that contain the same number of items in each group. Multiplication counts the total number of items in all equal groups.

  • Example: 4 groups of 5 pencils
  • Repeated addition: 5 + 5 + 5 + 5
  • Total: 4 × 5 = 20
Understanding equal groups helps learners connect multiplication with repeated addition.

10. What are common mistakes when learning multiplication as repeated addition?

A common mistake in multiplication as repeated addition is confusing which number is repeated and how many times it is added. In a × b, the number a is added b times.

  • Incorrect: Writing 3 × 4 as 4 + 4 + 4 + 4
  • Correct: 3 + 3 + 3 + 3 = 12
Carefully identifying the number of groups and items in each group prevents errors in basic multiplication.