What’s the product of 3172 and 5?
The Correct Answer and Explanation is:
The product of 3172 and 5 is 15,860.
Explanation:
When calculating the product of two numbers, we multiply one number by the other. Here, we are asked to find the product of 3172 and 5. This multiplication problem can be solved by following a straightforward calculation method or by understanding the process in more detail.
- Standard Multiplication Process:
- We align 3172 and multiply each digit by 5.
- Multiplying from right to left:
- (2 \times 5 = 10): Write 0, carry over 1.
- (7 \times 5 = 35): Add the carried-over 1 to get 36. Write 6, carry over 3.
- (1 \times 5 = 5): Add the carried-over 3 to get 8. Write 8.
- (3 \times 5 = 15): Write 15.
- Breaking Down the Multiplication:
Another way to look at this problem is by breaking down 3172 as (3000 + 100 + 70 + 2) and then distributing the multiplication:
- (3000 \times 5 = 15,000)
- (100 \times 5 = 500)
- (70 \times 5 = 350)
- (2 \times 5 = 10) When we add these products together:
[
15,000 + 500 + 350 + 10 = 15,860
]
- Why the Result Matters:
Multiplying numbers is a fundamental mathematical skill with practical applications in fields like finance, science, and engineering. For example, in budgeting, knowing how to quickly find the product of a price and quantity helps in managing expenses. Similarly, in everyday life, understanding the multiplication process can make tasks like splitting bills, calculating distances, or estimating time more manageable. Here, by correctly calculating 3172 multiplied by 5 as 15,860, you ensure accuracy in any situation where these figures might represent real-world quantities, such as units, currency, or measurements.