Problem 46 \(8.04 \div 10\)... [FREE SOLUTION]

Chapter 0: Problem 46

\(8.04 \div 10\)

Short Answer

Expert verified

0.804

Step by step solution

Understand the Problem

The problem requires dividing 8.04 by 10. This operation can also be thought of as shifting the decimal point one place to the left.

Apply the Division Rule

When dividing a number by 10, move the decimal point in the number one place to the left. In this case, moving the decimal point in 8.04 one place to the left results in 0.804.

Write the Result

After moving the decimal point one place to the left, the resulting number is 0.804.

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Key Concepts

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

decimal shifting

When dealing with decimals in arithmetic, shifting the decimal point is a simple yet powerful tool. Shifting the decimal point changes the value of the number. For example, shifting the decimal in 8.04 to the left by one place converts it to 0.804. Effectively, this action makes the number smaller. This technique is often used when dividing by powers of 10, such as 10, 100, or 1000. Remember:

Shift left when dividing.
Shift right when multiplying.

Practicing this concept will help you handle decimal numbers more confidently.

division by 10

Dividing by 10 is about moving the decimal point one place to the left. Think of it like this: the number is being made ten times smaller with each move to the left. For instance, the number 8.04 divided by 10 leads to 0.804. This approach is efficient for quick calculations without needing long division. A few more examples include:

42 becomes 4.2
100 becomes 10.0
5.6 becomes 0.56

Practicing with various numbers will strengthen your understanding.

basic arithmetic operations

Mastering basic arithmetic operations lays the foundation for higher-level math. Division, being one of these operations, is crucial for understanding ratios, fractions, and proportions. Breaking down division:

Addition involves combining numbers.
Subtraction finds the difference between numbers.
Multiplication involves repeated addition.
Division splits a number into equal parts.

For example, understanding that dividing by 10 is as simple as shifting a decimal point helps demystify operations involving larger numbers. A solid grasp on basics like these makes advanced concepts easier to tackle.

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\(8.04 \div 10\)

Short Answer

Step by step solution

Understand the Problem

Apply the Division Rule

Write the Result

Key Concepts

decimal shifting

division by 10

basic arithmetic operations

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