Repeated Multiplication

Multiplication is a process of repeated addition of identically sized objects or numbers. It can be visualized by counting specific numbers on a number line. It is used as a strategy for children in order to introduce multiplication in an innovative way. In this chapter, we are going to discuss and learn about what is repeated multiplication, how it works, what examples of repeated multiplication and how to resolve it mathematically. Along with repeated multiplication, we are also going to learn how multiplication is repeated addition and how to solve problems related to the same. We are also going to solve different types of problems based on the topic mentioned in the chapter.

What is Multiplication?

Mathematically, multiplication is a source of finding and solving the product of two or more numbers. In the multiplication problem, $5 \times 5=25$, here the numbers 5 and 5 are the factors, while the number 25 is the product. Which means repeatedly adding 5 as $5+5+5+5+5$ which is equal to 25.

What is Repeated Multiplication?

Repeated Multiplication is a process of multiplying equal numbers or groups together. In order words, if we multiply any number by itself numerous times then it is known as Repeated Multiplication. Repeated multiplication of the same factor is called a power and the exponent and The exponent corresponds to the number of times the base is used as a factor.

For example: $2 \times 2 \times 2 \times 2$ which means 2 is repeated 4 times

We write it in the form as $2^4$ and read it as 2 power 4.

The repeated number 2 is called the base and number 4 is defined as the power.

Example of Repeated Multiplication

We can use exponents to represent numbers. Exponents represent Repeated Multiplication. For example:

$5 \times 5 \times 5 \times 5 \times 5=5^5$

$7 \times 7 \times 7=7^3$

$10 \times 10=10^2$

Multiplication is Repeated Addition

Repeated Addition is adding numbers or groups of numbers together to multiply many times. It is a way or source of multiplication that is used to teach children how to multiply in different and new ways. If the same number is repeated, then we can write repeated addition in the form of multiplication.

Repeated Addition is also very useful in learning multiplication facts. For example, if you are not familiar with $7 \times 3$ facts yet, then the easier way to find out is to write $7 \times 3$ in the form of $3+3+3+3+3+3+3$ or $7+7+7$ and then adding it accordingly.

Solved Examples

Let’s see some worksheets of multiplication as repeated addition along with repeated multiplication:

Q1. Aaron has three boxes of markers and each box has five markers. How many markers does Aaron have?

Ans. Five markers in each of the three boxes means five added to three times, which can be written as $5+5+5=15$, OR

This can be multiplied as $3 \times 5=15$

Thus, Aaron has 15 markers in total.

Q2. A flower vase can hold 5 flowers. How many can 4 such vases hold?

Ans. One flower case can hold 5 flowers and since there are 4 vases, it can be written as $5+5+5+5=20$, or

This can be multiplied as $4 \times 5=20$

Thus, 4 flower vases can hold up to 20 flowers.

Worksheets of Repeated Multiplication

Q 1. $3^2$ (Ans: 9)

Q 2. $2^2$ (Ans: 4)

Q 3. $4^5$ (Ans: 1024)

Q 4. $11^3$ (Ans: 1331)

Q 5. $5^3$ (Ans: 125)

Summary

In this chapter, we have learned about repeated multiplication and multiplication as repeated addition along with their examples. Repeated Addition is to add groups of numbers or numbers over and over. It is a better way for children to learn from addition to multiplication understanding. Multiplication of two same numbers or groups of numbers is the same process as Repeated Addition of the same numbers. As we know there are four foundations of mathematics namely, Addition, Subtraction, Multiplication and Division. We use the ‘x’ symbol to show multiplication and the ‘+’ symbol for addition. The result of two or more numbers when multiplied then it is known as the product.