Problem 591 Multiply. $$ (55.2)(1000) ... [FREE SOLUTION]

Chapter 1: Problem 591

Multiply. $$ (55.2)(1000) $$

Short Answer

Expert verified

55200

Step by step solution

Understand the Multiplication

To multiply two numbers, multiply each digit of the first number by each digit of the second number. Here, we are multiplying 55.2 by 1000.

Multiply by 1000

To multiply any number by 1000, shift the decimal point three places to the right. If the number has fewer than three digits after the decimal point, add zeros as needed.

Shift the Decimal Point

Shift the decimal point in 55.2 three places to the right: 55.2 becomes 55200.

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Key Concepts

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

headline of the respective core concept

When dealing with multiplication involving decimal points, the position of the decimal point can significantly change the result. For example, multiplying 55.2 by 1000 might seem complex at first, but we can simplify this by shifting the decimal point. In this case, you move the decimal point three places to the right. This changes 55.2 into 55200. Remember, whenever multiplying by powers of 10 like 10, 100, or 1000, the decimal point shifts to the right by one, two, or three places respectively.

headline of the respective core concept

Place value helps us understand the value of each digit in a number based on its position. For the number 55.2, the digits represent: 5 in the tens place (50), 5 in the units place (5), and 2 in the tenths place (0.2). When we multiply by 1000, each digit moves three places to the left: 50 becomes 50000, 5 becomes 5000, and 0.2 becomes 200. Thus, 55.2 becomes 55200. By fully understanding place value, we can simplify complex arithmetic operations accurately.

headline of the respective core concept

Arithmetic operations like multiplication help us solve various mathematical problems. Let's break it down:

Multiplying whole numbers involves repeated addition, such as: 5 * 4 is the same as adding 5 four times: 5 + 5 + 5 + 5 = 20.
When we introduce decimals, the rules stay the same, but the decimal point placement becomes crucial. In multiplication, after performing the calculation, you place the decimal point in the product correctly.
For instance, multiplying 2.5 by 3 involves multiplying 25 by 3 to get 75, then placing the decimal point back, giving us 7.5.
Understanding the basic operations and integrating decimal points and place values makes it easier to handle more complex arithmetic tasks efficiently.

By following these steps, we can manage various multiplication problems, whether they involve whole numbers or decimals, with confidence and accuracy.

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91影视

Multiply. $$ (55.2)(1000) $$

Short Answer

Step by step solution

Understand the Multiplication

Multiply by 1000

Shift the Decimal Point

Key Concepts

headline of the respective core concept

headline of the respective core concept

headline of the respective core concept

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