Problem 14 $$ \begin{array}{r} 2340 \\ ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 14

$$ \begin{array}{r} 2340 \\ \times 1000 \\ \hline \end{array} $$

Short Answer

Expert verified

2340000

Step by step solution

Understanding Multiplication

Identify the numbers you need to multiply, which are 2340 and 1000.

Use the Property of Multiplication with Powers of 10

Clearly observe that multiplying any number by 1000 is equivalent to appending three zeros to the end of the number. This method leverages the property of multiplication with powers of 10.

Perform the Multiplication

Write down the number 2340 and add three zeros (000) at the end: 2340000.

Confirm the Result

Double-check to ensure no mistakes were made in adding the zeros. The final multiplication result should be 2340000.

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Key Concepts

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

multiplying by powers of 10

When multiplying a number by a power of 10, you can make the process very simple by adding zeros to the original number. Powers of 10 include 10, 100, 1000, and so on.
For instance, multiplying by 10 is equivalent to adding one zero at the end of the number. Similarly, multiplying by 100 means adding two zeros, and multiplying by 1000 means adding three zeros. This method greatly simplifies large multiplications.
Understanding this technique helps you quickly and accurately find the result without extensive calculations.

basic arithmetic

Basic arithmetic involves fundamental math operations such as addition, subtraction, multiplication, and division. These operations are the building blocks for more complex mathematical concepts.
In multiplication, basic arithmetic rules are used to combine groups of numbers. For example, if we multiply 2 by 3, we are essentially adding the number 2, three times (2 + 2 + 2 = 6).
Mastering basic arithmetic helps in efficiently handling more complex math problems, including those involving larger numbers and different methods.

steps in multiplication

Performing multiplication, especially with large numbers, involves several clear steps:

Identify the numbers you need to multiply.
Apply the appropriate multiplication method, such as the one for powers of 10 if applicable.
Perform the multiplication step by step, ensuring accuracy at each point.
Double-check your work to confirm that no mistakes have been made.

Following these steps helps ensure you reach the correct answer efficiently. In the given example, multiplying 2340 by 1000, we use the property of powers of 10. We add three zeros, resulting in 2340000. Ensuring all steps are followed correctly is crucial for accurate results.

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91影视

$$ \begin{array}{r} 2340 \\ \times 1000 \\ \hline \end{array} $$

Short Answer

Step by step solution

Understanding Multiplication

Use the Property of Multiplication with Powers of 10

Perform the Multiplication

Confirm the Result

Key Concepts

multiplying by powers of 10

basic arithmetic

steps in multiplication

One App. One Place for Learning.

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