45 x 3 =Show your work
The Correct Answer and Explanation is:
To solve the multiplication problem ( 45 \times 3 ), we can break it down into simpler steps and demonstrate the calculation in detail.
Step-by-Step Calculation
- Understanding the Problem:
The problem is to multiply the number 45 by 3. This can be visualized as adding the number 45 three times:
[
45 + 45 + 45
] - Breaking Down the Numbers:
We can separate 45 into its tens and units for easier calculation:
[
45 = 40 + 5
]
Now, we will multiply both components by 3:
- For the tens place:
[
40 \times 3 = 120
] - For the units place:
[
5 \times 3 = 15
]
- Combining the Results:
Next, we add the results from the tens and units:
[
120 + 15 = 135
] - Final Answer:
Therefore, the product of ( 45 \times 3 ) is:
[
135
]
Explanation
Multiplication is one of the four basic arithmetic operations and is essentially repeated addition. In this case, multiplying 45 by 3 can be interpreted as asking how much we have when we take 45 units and group them into three equal parts.
When performing multiplication, especially with larger numbers, breaking the numbers down into more manageable components—like separating the tens from the units—can simplify the calculation. This approach not only makes the arithmetic clearer but also helps prevent errors, particularly when mental math is involved.
By handling each part of the number separately, we ensure that every component is accurately calculated. Finally, adding the two results together gives us the total.
In practical applications, understanding how to multiply numbers is crucial. It forms the basis for more complex mathematics, such as algebra and geometry, and is frequently used in real-life scenarios, such as budgeting, cooking, and measurement conversions. Knowing how to perform basic multiplication efficiently can enhance both academic performance and everyday problem-solving skills. Thus, the correct answer is:
[
\boxed{135}
]