Select The Best Answer For The Question.Find The Product Of 543 And 36.A. 579 B. 19,548 C. 507 D. 15.08
Introduction
Multiplication is a fundamental operation in mathematics that involves finding the product of two or more numbers. In this article, we will focus on finding the product of two large numbers, 543 and 36. We will explore the different methods of multiplication and provide a step-by-step guide on how to find the product of these two numbers.
Understanding the Problem
To find the product of 543 and 36, we need to multiply these two numbers together. This can be done using the standard multiplication algorithm or by using the distributive property of multiplication.
Method 1: Standard Multiplication Algorithm
The standard multiplication algorithm involves multiplying each digit of the first number by each digit of the second number and then adding up the products.
Step 1: Multiply 543 by 30
To multiply 543 by 30, we can multiply 543 by 10 and then multiply 543 by 20.
- 543 × 10 = 5430
- 543 × 20 = 10860
Step 2: Multiply 543 by 6
To multiply 543 by 6, we can multiply 543 by 1 and then multiply 543 by 5.
- 543 × 1 = 543
- 543 × 5 = 2715
Step 3: Add Up the Products
Now, we need to add up the products from the previous steps.
- 5430 + 10860 = 15790
- 543 + 2715 = 4258
Step 4: Combine the Products
Finally, we need to combine the products from the previous steps.
- 15790 + 4258 = 20048
Method 2: Distributive Property of Multiplication
The distributive property of multiplication states that a(b + c) = ab + ac. We can use this property to find the product of 543 and 36.
- 543 × 36 = 543 × (30 + 6)
- 543 × 36 = 543 × 30 + 543 × 6
- 543 × 36 = 15790 + 4258
- 543 × 36 = 20048
Conclusion
In conclusion, the product of 543 and 36 is 20048. We can use either the standard multiplication algorithm or the distributive property of multiplication to find the product of these two numbers.
Answer
Q: What is multiplication?
A: Multiplication is a mathematical operation that involves finding the product of two or more numbers. It is a way of adding a number a certain number of times.
Q: How do I multiply two numbers?
A: To multiply two numbers, you can use the standard multiplication algorithm or the distributive property of multiplication. The standard multiplication algorithm involves multiplying each digit of the first number by each digit of the second number and then adding up the products. The distributive property of multiplication states that a(b + c) = ab + ac.
Q: What is the difference between multiplication and addition?
A: Multiplication and addition are both mathematical operations, but they are used in different ways. Addition involves finding the sum of two or more numbers, while multiplication involves finding the product of two or more numbers.
Q: Can I multiply fractions?
A: Yes, you can multiply fractions. To multiply fractions, you simply multiply the numerators together and the denominators together.
Q: Can I multiply decimals?
A: Yes, you can multiply decimals. To multiply decimals, you can use the standard multiplication algorithm or the distributive property of multiplication.
Q: What is the order of operations in multiplication?
A: The order of operations in multiplication is:
- Parentheses: Evaluate any expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: Can I use a calculator to multiply numbers?
A: Yes, you can use a calculator to multiply numbers. Calculators can perform multiplication operations quickly and accurately.
Q: What are some real-world applications of multiplication?
A: Multiplication has many real-world applications, including:
- Finance: Multiplication is used to calculate interest rates and investment returns.
- Science: Multiplication is used to calculate the area and volume of shapes and objects.
- Engineering: Multiplication is used to calculate the stress and strain on materials.
- Cooking: Multiplication is used to calculate the amount of ingredients needed for a recipe.
Q: Can I multiply negative numbers?
A: Yes, you can multiply negative numbers. When you multiply two negative numbers together, the result is a positive number.
Q: Can I multiply zero?
A: Yes, you can multiply zero. When you multiply zero by any number, the result is always zero.
Q: Can I multiply infinity?
A: No, you cannot multiply infinity. Infinity is not a number and cannot be used in mathematical operations.
Conclusion
In conclusion, multiplication is a fundamental mathematical operation that involves finding the product of two or more numbers. It has many real-world applications and can be used in a variety of contexts. By understanding the basics of multiplication, you can perform mathematical operations with confidence and accuracy.