Problem 39 Divide. $$ \frac{23.59}{10} ... [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 4: Problem 39

Divide. $$ \frac{23.59}{10} $$

Short Answer

Expert verified

2.359

Step by step solution

- Understand Division of Decimals by 10

When dividing a decimal by 10, the decimal point moves one place to the left. For instance, dividing 3.56 by 10 results in 0.356.

- Apply the Rule

Take the number 23.59 and move the decimal point one place to the left. This will change the number to 2.359.

- Write the Answer

After moving the decimal point, we get the final result: 2.359.

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Key Concepts

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

decimal point movement

When you're dealing with decimals, the placement of the decimal point is crucial. Moving the decimal point is a fundamental part of many arithmetic operations.

To understand how to move the decimal point, follow these guidelines:

When you divide a number by 10, you move the decimal point one place to the left.
If you were to divide by 100, you'd move it two places to the left.
If you multiply by 10, you move the decimal point one place to the right, and for 100, two places to the right.

For example, to move the decimal point one place left for 23.59:

Observe the decimal point between 3 and 5, making the number 23.59.
To divide by 10, move the decimal point one place to the left.
The result is 2.359.

This easy movement of the decimal point allows for rapid and error-free calculations without the need for long division.

dividing by 10

Dividing any number by 10 simplifies mathematical operations, especially with decimals. When you divide by 10, you are essentially scaling down the number by a factor of one-tenth.

Here's how this looks in practice:

Starting with a number like 23.59.
Identify the decimal point's current position.
Since you're dividing by 10, you'll just move the decimal one spot to the left.

The result for 23.59 divided by 10 becomes 2.359.

Practicing with different numbers and seeing their results helps solidify this concept. It's useful for quick mental math and is a foundational skill for more complex math operations.

step-by-step math problems

Math can seem difficult until you break it down into digestible steps. Tackling problems step-by-step makes them manageable and less intimidating. Let's look at the original exercise and its solution in detailed steps:

Problem: Divide 23.59 by 10

Step 1: Understand Division of Decimals by 10 - Know that dividing by 10 shifts the decimal point one space left.
Step 2: Apply the Rule - Take the number 23.59 and move its decimal one place to the left to get 2.359.
Step 3: Write the Answer - After shifting the decimal, your final answer is 2.359.

By following these basics steps and understanding why they work, tackling any problem involving dividing by 10 or manipulating decimal points becomes straightforward and clear.

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91影视

Divide. $$ \frac{23.59}{10} $$

Short Answer

Step by step solution

- Understand Division of Decimals by 10

- Apply the Rule

- Write the Answer

Key Concepts

decimal point movement

dividing by 10

step-by-step math problems

One App. One Place for Learning.

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