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Chapter 1: Problem 45

Perform the operations. Find the product of 12 and 7.

Short Answer

Expert verified
The product of 12 and 7 is 84.

Step by step solution

01

Understand the Problem

We are tasked with finding the product of the numbers 12 and 7. The product is the result of multiplying these two numbers together.
02

Set Up the Multiplication

Write the multiplication expression which represents the problem: \[ 12 \times 7 \]
03

Perform the Multiplication

Calculate the product by multiplying the numbers directly: \[ 12 \times 7 = 84 \]
04

Review the Calculation

Double-check the multiplication to ensure there are no errors. We multiplied correctly, so the answer is confirmed.

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Key Concepts

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

Understanding Arithmetic Operations
Arithmetic operations, like addition, subtraction, multiplication, and division, are fundamental components of mathematics. These basic operations help us solve everyday problems and are the building blocks for more complex math concepts.

In this specific exercise, multiplication is used to find the product of two numbers, 12 and 7. By multiplying these two figures, we perform one of the core arithmetic operations. Understanding how to navigate these operations is crucial as they form the basis for almost every math problem more complex than simple counting.
Key Aspects of Product Calculation
The process of product calculation involves multiplying one number by another to get a result, known as the product. When calculating the product of two numbers, like 12 and 7 in this exercise, it's essential to set up the problem correctly.

Firstly, write the multiplication expression clearly:
  • Identify the numbers you need to multiply.
  • Write them in the format of a multiplication equation, such as \( 12 \times 7 \).
Once the expression is set up, you perform the multiplication to calculate the product. For 12 and 7, this gives us:
  • Multiply 12 by 7 to get 84.
  • Check your work to ensure accuracy; it's useful to do the multiplication again if there's any doubt.
Getting the right product means following these steps carefully and understanding the multiplication process.
Building Basic Math Skills
Learning to handle basic math skills is essential for solving everyday arithmetic problems. Mastering these foundational skills, such as multiplication, will help you in more advanced areas of math.

By practicing exercises like finding products of numbers, you're reinforcing your understanding of multiplication, which is crucial for everything from simple DIY projects to more complex scientific calculations. Remember to:
  • Take your time to understand each step involved in the calculation.
  • Use repetition as a tool to solidify these skills; practice makes perfect.
  • Confirm your work by reviewing calculations, ensuring accuracy.
By consistently working on these skills, you build a strong foundation that supports all other math learning.

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