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Chapter 2: Problem 12

Multiply as indicated. 12\. \(0.5 \times 10\)

Short Answer

Expert verified
5

Step by step solution

01

Identify the Numbers

The numbers given in the multiplication problem are 0.5 and 10.
02

Express the Multiplication

Write the multiplication as an equation: \[0.5 \times 10\]
03

Multiply the Numbers

Perform the multiplication: \[0.5 \times 10 = 5\]

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Key Concepts

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

Basic Arithmetic
Basic arithmetic is the foundation of math. It includes addition, subtraction, multiplication, and division.
When we multiply, we are simply adding a number (called the multiplicand) to itself a certain number of times (called the multiplier).
In our example, when we multiply 0.5 by 10, it means we are adding 0.5 to itself 10 times.
Multiplication is one of the primary operations in arithmetic, and understanding how to multiply is crucial for solving more complex math problems.
Identifying Numbers
In any multiplication problem, it's important to identify the numbers involved.
These numbers are called factors.
In our example of \[0.5 \times 10\], the factors are 0.5 (the multiplicand) and 10 (the multiplier).
Recognizing these numbers correctly is the first step to solving the problem.
Once you identify them, you can proceed to set up and perform the multiplication.
Multiplication Process
The multiplication process involves combining numbers in a specific way.
Here鈥檚 how to multiply the given example step-by-step:
  • Step 1: Write down the numbers: 0.5 and 10.
  • Step 2: Set up the multiplication: \[0.5 \times 10\]
  • Step 3: Multiply the numbers. Multiply 0.5 by 10. When multiplying by 10, just move the decimal point in 0.5 one place to the right. This gives us 5.

So, \[0.5 \times 10 = 5\].
The result of multiplying these numbers is 5.
Decimal Operations
When working with decimal numbers, a good understanding of decimal operations is essential.
In multiplication, consider the position of the decimal point. In our example, 0.5 has one decimal place.
When multiplying 0.5 by 10, you move the decimal point once to the right (since you are multiplying by a whole number ending in zero). This is why 0.5 multiplied by 10 becomes 5.
Practicing how to handle decimal points will help you multiply and divide decimal numbers accurately.
Understanding these basic concepts of decimal operations will make solving problems involving decimals much easier.

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