What Is The Answer For $0.123 \times 5.2 =$?A. 63.906 B. 0.6396 C. 6.396 D. 63.96

Introduction

In mathematics, multiplication is a fundamental operation that involves the repeated addition of a number. It is a crucial concept in various mathematical disciplines, including arithmetic, algebra, and calculus. In this article, we will focus on the multiplication of two decimal numbers, specifically $0.123 \times 5.2$, and explore the correct answer among the given options.

Understanding the Problem

To solve the problem $0.123 \times 5.2$, we need to multiply the two decimal numbers. Multiplication of decimal numbers involves multiplying the numbers as if they were whole numbers and then placing the decimal point in the correct position. In this case, we have two decimal numbers: $0.123$ and $5.2$.

Step-by-Step Solution

To solve the problem, we will follow the order of operations (PEMDAS):

1. Multiply the numbers as if they were whole numbers: $123 \times 52$
2. Calculate the product: $123 \times 52 = 6396$
3. Place the decimal point in the correct position: Since we have two decimal places in the first number ($0.123$) and one decimal place in the second number ($5.2$), we will place the decimal point two places to the left of the product ($6396$).

Calculating the Product

Now, let's calculate the product of $123 \times 52$:

$$123 \times 50 = 6150$$

$$123 \times 2 = 246$$

Adding the two products, we get:

$$6150 + 246 = 6396$$

Placing the Decimal Point

Since we have two decimal places in the first number ($0.123$) and one decimal place in the second number ($5.2$), we will place the decimal point two places to the left of the product ($6396$). Therefore, the correct answer is:

$$0.123 \times 5.2 = 0.6396$$

Conclusion

In conclusion, the correct answer for $0.123 \times 5.2$ is $0.6396$. This problem demonstrates the importance of following the order of operations and accurately placing the decimal point when multiplying decimal numbers.

Frequently Asked Questions

• What is the correct answer for $0.123 \times 5.2$?
• How do I multiply decimal numbers?
• What is the order of operations in mathematics?

Answers

• The correct answer for $0.123 \times 5.2$ is $0.6396$.
• To multiply decimal numbers, multiply the numbers as if they were whole numbers and then place the decimal point in the correct position.
• The order of operations in mathematics is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Final Answer

The final answer is: 0.6396

Introduction

Multiplication of decimal numbers is a fundamental concept in mathematics that involves multiplying two or more decimal numbers to get a product. In our previous article, we discussed the multiplication of two decimal numbers, specifically $0.123 \times 5.2$, and explored the correct answer among the given options. In this article, we will address some frequently asked questions (FAQs) about multiplication of decimal numbers.

Q&A

Q1: What is the correct answer for $0.123 \times 5.2$?

A1: The correct answer for $0.123 \times 5.2$ is $0.6396$.

Q2: How do I multiply decimal numbers?

A2: To multiply decimal numbers, multiply the numbers as if they were whole numbers and then place the decimal point in the correct position.

Q3: What is the order of operations in mathematics?

A3: The order of operations in mathematics is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Q4: How do I handle decimal points when multiplying decimal numbers?

A4: When multiplying decimal numbers, you need to multiply the numbers as if they were whole numbers and then place the decimal point in the correct position. The number of decimal places in the product is equal to the sum of the decimal places in the two numbers being multiplied.

Q5: Can I multiply decimal numbers using a calculator?

A5: Yes, you can multiply decimal numbers using a calculator. Simply enter the two decimal numbers and press the multiplication button to get the product.

Q6: How do I check my answer when multiplying decimal numbers?

A6: To check your answer when multiplying decimal numbers, you can use the following steps:

1. Multiply the numbers as if they were whole numbers.
2. Place the decimal point in the correct position.
3. Check if the product is correct by multiplying the numbers again.

Q7: What are some common mistakes to avoid when multiplying decimal numbers?

A7: Some common mistakes to avoid when multiplying decimal numbers include:

• Not multiplying the numbers as if they were whole numbers.
• Not placing the decimal point in the correct position.
• Not checking the product for accuracy.

Q8: Can I multiply decimal numbers with different numbers of decimal places?

A8: Yes, you can multiply decimal numbers with different numbers of decimal places. Simply multiply the numbers as if they were whole numbers and then place the decimal point in the correct position.

Q9: How do I handle negative numbers when multiplying decimal numbers?

A9: When multiplying decimal numbers with negative numbers, you need to follow the rules of multiplication for negative numbers. If both numbers are negative, the product is positive. If one number is negative and the other is positive, the product is negative.

Q10: Can I use a formula to multiply decimal numbers?

A10: Yes, you can use a formula to multiply decimal numbers. The formula is:

$$a \times b = (a \times 10^m) \times (b \times 10^n)$$

where $a$ and $b$ are the decimal numbers, $m$ and $n$ are the number of decimal places in $a$ and $b$, respectively.

Conclusion

In conclusion, multiplication of decimal numbers is a fundamental concept in mathematics that involves multiplying two or more decimal numbers to get a product. By following the order of operations and accurately placing the decimal point, you can multiply decimal numbers with ease. We hope this article has addressed some of the frequently asked questions about multiplication of decimal numbers.

Final Answer

The final answer is: 0.6396