Multiply
$\begin{array}{r}
540.3 \
\times 0.032 \
\hline
\end{array}$
Answer (2)
Multiply the numbers without decimals: 5403 × 32 = 172896 .
Count the total number of decimal places in the original numbers: 1 + 3 = 4 .
Place the decimal point in the result to have 4 decimal places: 17.2896 .
The final answer is 17.2896 .
Explanation
Understanding the Problem We need to multiply 540.3 by 0.032. This is a straightforward multiplication problem involving decimal numbers.
Multiplying without Decimals First, let's multiply the numbers without considering the decimal points. We can think of this as multiplying 5403 by 32.
Performing Multiplication Now, let's perform the multiplication:
5403 × 32 10806 16209 \t 172896
Counting Decimal Places Next, we need to account for the decimal places. In the original problem, 540.3 has one decimal place, and 0.032 has three decimal places. So, in total, we have 1 + 3 = 4 decimal places.
Placing the Decimal Point Now, we place the decimal point in the result (172896) such that there are 4 decimal places. This gives us 17.2896.
Final Answer Therefore, 540.3 × 0.032 = 17.2896 .
Examples
Understanding decimal multiplication is crucial in everyday situations, such as calculating the cost of multiple items at a store. For instance, if an item costs $5.50 and you buy 3.5 of that item, you would multiply 5.50 × 3.5 to find the total cost, which equals $19.25. This skill is also essential in calculating areas, volumes, and many other real-world measurements.
To multiply 540.3 by 0.032, first multiply without decimals to get 172896. Then, count the total of 4 decimal places and place the decimal point accordingly, resulting in 17.2896.
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