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Chapter 1: Problem 597

Divide. $$ 0.6 \div 0.2 $$

Short Answer

Expert verified
3

Step by step solution

01

- Understand the Problem

You need to divide 0.6 by 0.2. This means you need to find out how many times 0.2 fits into 0.6.
02

- Convert to Whole Numbers

To simplify the division, multiply both the dividend (0.6) and the divisor (0.2) by 10 to remove the decimals. This will give you 6 and 2, respectively.
03

- Perform the Division

Now, divide 6 by 2. 6 梅 2 = 3
04

- Interpret the Result

The result of 6 梅 2 is 3. Therefore, 0.6 梅 0.2 = 3.

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Key Concepts

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

Basic Arithmetic
Basic arithmetic lays the foundation for all types of math problems. Here, you'll use division, a fundamental operation. Knowing how to do basic arithmetic operations like addition, subtraction, multiplication, and division is crucial. When dividing, your goal is to see how many times one number fits into another.
Decimal Multiplication
Decimal multiplication can simplify dividing decimal numbers. Multiplying both the dividend and the divisor by the same power of 10 will remove the decimals. For instance, you can turn 0.6 梅 0.2 into a whole number division problem. Multiply both numbers by 10, so 0.6 becomes 6 and 0.2 becomes 2. Now the problem is much simpler: 6 梅 2.
Division Process
The division process for decimals involves a few clear steps. First, convert your decimals to whole numbers by finding a common power of 10. When both numbers are whole, proceed with normal division. Once you've divided, interpret the results in the context of the original problem. In the case of 0.6 梅 0.2, by converting to whole numbers, dividing 6 by 2 gives you the result 3.

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