What is the result of 4000 x 12 ?
The Correct Answer and Explanation is:
The result of (4000 \times 12) is 48,000.
Explanation:
When calculating (4000 \times 12), it’s helpful to break the multiplication down into steps for clarity.
Step 1: Understanding the Multiplication
The number (4000) consists of a digit (4) followed by three zeros, making it a large number in the thousands. The number (12) is a two-digit number. When multiplying a large number by a smaller one, it helps to think of it in parts or to use multiplication properties.
Step 2: Breaking Down the Multiplication
One way to simplify the multiplication is by breaking down the numbers:
[
4000 \times 12 = (4 \times 1000) \times 12
]
Using the associative property of multiplication, we can rearrange the terms:
[
= 4 \times (1000 \times 12)
]
Step 3: Calculating the Inner Multiplication
Calculate (1000 \times 12):
[
1000 \times 12 = 12000
]
Now, we can substitute back:
[
4 \times 12000 = 48000
]
Final Answer
Thus, the answer is 48,000.
Alternative Approach: Using Place Value
Another way to verify this is by multiplying each place value individually:
- Multiply the thousands place: (4000 \times 10 = 40000)
- Multiply the units place: (4000 \times 2 = 8000)
- Add the results: (40000 + 8000 = 48000)
Practical Applications of Multiplication
Calculating large multiplications like (4000 \times 12) has practical applications in fields such as finance, construction, and data analysis, where large quantities and scaling are often involved.