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Chapter 5: Problem 139

In the following exercises, multiply. $$(9.24)(10)$$

Short Answer

Expert verified
92.4

Step by step solution

01

Identify the Numbers

Identify the numbers in the given multiplication problem. Here, the numbers are 9.24 and 10.
02

Understand Multiplication by 10

When a number is multiplied by 10, we can simply move the decimal point one place to the right.
03

Perform the Multiplication

Move the decimal point in 9.24 one place to the right to get 92.4.
04

Write the Final Answer

After moving the decimal point, the product of 9.24 and 10 is 92.4.

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Key Concepts

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

multiplication by 10
Multiplying any number by 10 is straightforward if you know the trick. When you multiply a number by 10, you can simply move the decimal point one spot to the right. This method applies to both whole numbers and decimals.
For example:
  • Multiplying 5 by 10: Move the decimal in 5.0 one place to the right, resulting in 50.
  • Multiplying 3.76 by 10: Move the decimal in 3.76 one place to the right, resulting in 37.6.
Understanding this method helps simplify problems. It's particularly useful when dealing with larger numbers or lengthy decimals as it reduces calculation time and effort.
moving decimal points
Moving decimal points is a key concept in arithmetic. It plays a significant role in decimal multiplication and simplification.
Here are some common scenarios:
  • Multiplying by 10: Move the decimal one place to the right.
  • Multiplying by 100: Move the decimal two places to the right.
  • Dividing by 10: Move the decimal one place to the left.
Let's illustrate this with an example:
If you have the number 4.56 and you multiply it by 100, you move the decimal two places to the right, resulting in 456. Understanding this makes working with decimals much easier and faster.
arithmetic operations
Arithmetic operations, like addition, subtraction, multiplication, and division, are fundamental math skills. They form the basis for more complex mathematical concepts.
Let's focus on some basics:
  • Addition: Combining two numbers to get their total. Example: 3 + 4 = 7.
  • Subtraction: Taking one number away from another. Example: 5 - 2 = 3.
  • Multiplication: Repeated addition of a number. Example: 4 * 3 = 12.
  • Division: Splitting a number into equal parts. Example: 12 梅 4 = 3.
Mastering these operations is crucial as they are used in various mathematical and real-life scenarios. Tools like multiplication charts and division tables can be helpful while learning these concepts.

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