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Chapter 2: Problem 2

Multiplication is a description of what repeated process?

Short Answer

Expert verified
Multiplication is a repeated addition process.

Step by step solution

01

Understanding Multiplication

Multiplication is a mathematical operation where a number, known as the multiplicand, is added to itself a certain number of times. The second number, the multiplier, indicates how many times the multiplicand is added. This forms the basis of interpreting multiplication as a repeated addition process.
02

Identifying Repeated Addition

To fully grasp multiplication as repeated addition, consider the multiplication expression: \( 3 \times 4 \). This expression means you take the number 3 and add it 4 times, i.e., \( 3 + 3 + 3 + 3 \). The sum of these repeated additions will give you the product of the multiplication expression.
03

Calculating the Repeated Addition

Let's calculate the repeated addition for our example \( 3 + 3 + 3 + 3 \). Adding these together: \( 3 + 3 = 6 \), then \( 6 + 3 = 9 \), and finally \( 9 + 3 = 12 \). Thus, \( 3 \times 4 = 12 \), confirming that multiplication is indeed repeated addition.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Repeated Addition
Repeated addition is a basic way to understand the concept of multiplication. It involves adding the same number to itself multiple times. For instance, when we say "3 multiplied by 4," it means adding the number 3, four times:
  • 3 + 3 + 3 + 3
This approach helps us visualize what multiplication does. We see how the number grows as we add it over and over. It is a simple, yet powerful tool to introduce multiplication and see how it transforms numbers through addition.
Multiplicand
The multiplicand is the number you start with in multiplication and the number that is added repeatedly. In the multiplication expression, like in our example of "3 multiplied by 4," the multiplicand is 3.
  • It stands for the quantity that we increase through repeated addition.
  • This number remains the same each time we add it.
Understanding the multiplicand helps in identifying what is being repeated and expanded during the process of multiplication.
Multiplier
The multiplier indicates how many times the multiplicand is added to itself. It is a guiding number that tells us the number of cycles of addition needed. Using the example "3 multiplied by 4":
  • The number 4 is the multiplier.
  • It tells us to add the number 3, four times.
This concept is crucial as it dictates the scale or extent of the operation, converting a simple addition into a full multiplication process.
Mathematical Operation
Multiplication is considered one of the four basic mathematical operations, alongside addition, subtraction, and division. It is an essential tool for performing calculations efficiently:
  • Simplifies repeated addition into a single step.
  • Allows easy scaling and comparison of quantities.
By learning multiplication as a mathematical operation, we not only improve our arithmetic skills but also open the door to more advanced mathematical concepts. This operation underlies many real-world applications, from basic problem-solving to complex equations.

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Most popular questions from this chapter

There are 60 seconds in 1 minute, 60 minutes in one hour, 24 hours in one day, and 365 days in one year. How many seconds are there in 1 year?

Specify if the whole number is divisible by \(2,3,4,5,6,8,9,\) or 10 . Write "none" if the number is not divisible by any digit other than 1. Some numbers may be divisible by more than one number. $$1,307$$

Find each product or quotient. $$ 1338 \div 446 $$

For the following problems, perform the multiplications. You may check each product with a calculator. $$ \begin{array}{r} 115 \\ \times \quad 22 \\ \hline \end{array} $$

For the following problems, perform the multiplications. You may check each product with a calculator. $$ \begin{array}{r} 9,300 \\ \times 1,130 \\ \hline \end{array} $$
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