Question
4.3. \( 9 \times 54 \)
Ask by Davison Riley. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 9 \times 54 = 486 \)
Solution
Problem **4.3. \( 9 \times 54 \)**
To solve \( 9 \times 54 \), you can use the **distributive property** of multiplication over addition. Here's a step-by-step breakdown:
1. **Break down 54 into tens and units:**
\[
54 = 50 + 4
\]
2. **Multiply 9 by each part separately:**
\[
9 \times 50 = 450
\]
\[
9 \times 4 = 36
\]
3. **Add the two results together:**
\[
450 + 36 = 486
\]
**Therefore,**
\[
9 \times 54 = 486
\]
**Alternative Method: Traditional Multiplication**
You can also perform traditional multiplication as follows:
\[
\begin{array}{c}
\phantom{0}54 \\
\times \phantom{0}9 \\
\hline
\phantom{0}486 \\
\end{array}
\]
**Final Answer:**
\( 9 \times 54 = 486 \)
Reviewed and approved by the UpStudy tutoring team
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Extra Insights
Did you know that \( 9 \times 54 \) equals 486? It’s a neat product that often pops up in everyday situations, such as calculating the total number of items when you have bundles of 54 items each and 9 bundles in total. It's almost like a little math party! Also, have you ever wondered how to simplify multiplication like this? One trick is to break down 54 into manageable parts. So, instead of multiplying directly, you can do \( 9 \times (50 + 4) = 9 \times 50 + 9 \times 4 = 450 + 36 = 486 \). Voila! Multiply like a pro!