Problem 13 Multiply as indicated. 13\. \(... [FREE SOLUTION]

Chapter 2: Problem 13

Multiply as indicated. 13\. \(0.72 \times 100\)

Short Answer

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Step by step solution

Understand the Problem

The task is to multiply 0.72 by 100. When multiplying a decimal number by a power of 10, the decimal point moves to the right.

Move the Decimal Point

To multiply 0.72 by 100, move the decimal point two places to the right because 100 has two zeros.

Write the New Number

By moving the decimal point two places to the right, 0.72 becomes 72.

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Key Concepts

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

Decimal Point Movement

Understanding how the decimal point moves is key when working with decimals. When you multiply a decimal by powers of 10 (like 10, 100, or 1000), you shift the decimal point to the right.

For each zero in the power of 10, the decimal point moves one place.

Multiplying by 10: Move the decimal point 1 place to the right
Multiplying by 100: Move it 2 places to the right
Multiplying by 1000: Move it 3 places to the right

Let's take the example from our exercise: To multiply 0.72 by 100, move the decimal point two places to the right:
0.72 becomes 72.

Multiplication by Powers of 10

Multiplying by powers of 10 is simple if you know how to move the decimal point.
Here鈥檚 how it generally works:

1. Identify the power of 10 you're multiplying by. In our case, it's 100.

2. Count the number of zeros. Here, 100 has two zeros.
3. Move the decimal point in your number that many places to the right. For 0.72, we move the decimal two places, giving us 72.

This method works because multiplying by 10, 100, and 1000 is essentially scaling your number up by those factors.

Basic Arithmetic Operations

Basic arithmetic operations such as addition, subtraction, multiplication, and division are the foundation of math. Multiplication, in particular, involves combining equal groups.

When multiplying decimals, the concept is the same as multiplying whole numbers, with the additional step of managing the decimal point.
For instance, when you multiply 0.72 by 100, you are essentially finding 100 groups of 0.72.

Use these steps for clarity:

Ignore the decimal point and multiply as if the numbers were whole numbers: 72 multiplied by 1 gives 72.
Then, place the decimal point in the result. Since our original number had two decimal places and we鈥檝e moved it, the final product is 72.

Understanding these basic principles helps build a solid math foundation.

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91影视

Multiply as indicated. 13\. \(0.72 \times 100\)

Short Answer

Step by step solution

Understand the Problem

Move the Decimal Point

Write the New Number

Key Concepts

Decimal Point Movement

Multiplication by Powers of 10

Basic Arithmetic Operations

One App. One Place for Learning.

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