What is the product of 25 x 24
The Correct Answer and Explanation is:
The product of 25 multiplied by 24 is 600.
To understand how we arrive at this answer, let’s break down the multiplication process step-by-step.
Step-by-Step Breakdown
Multiplication can be viewed as repeated addition. When we multiply 25 by 24, we are essentially adding 25 a total of 24 times, or adding 24 a total of 25 times. We can simplify this multiplication by breaking it down into smaller, more manageable parts.
Step 1: Distribute the Multiplication
We can use the distributive property of multiplication to make the calculation easier. The distributive property allows us to break the problem into smaller parts, which can be computed more simply.
[
25 \times 24 = 25 \times (20 + 4)
]
This expression can now be separated into two smaller multiplications:
[
= (25 \times 20) + (25 \times 4)
]
Step 2: Multiply Each Part
Now, we can compute each part:
- First, multiply 25 by 20:
[
25 \times 20 = 500
] - Next, multiply 25 by 4:
[
25 \times 4 = 100
]
Step 3: Add the Results
Now that we have the two results (500 and 100), we add them together:
[
500 + 100 = 600
]
Thus, the product of 25 and 24 is 600.
Another Way: Traditional Multiplication Method
If you were to perform traditional column multiplication, you would multiply each digit of 25 by each digit of 24, then sum up the intermediate results. The column method involves carrying over digits and aligning values correctly.
However, regardless of the method, the final result is the same: 600.
Multiplying large numbers like 25 and 24 is easier when you break them down into simpler parts using the distributive property, and this method helps ensure accurate calculations in a systematic way.