Multiply $\begin{array}{ll}3 & 5 \\ \times & 3\end{array}$
Answer (2)
Multiply the units digit: 3 × 5 = 15 , write down 5 and carry-over 1.
Multiply the tens digit: 3 × 3 = 9 , add the carry-over 1 to get 10.
Combine the results to get 105.
The final answer is 105 .
Explanation
Problem Analysis We are asked to multiply 35 by 3. This is a straightforward multiplication problem.
Multiplying Units Digit First, we multiply the units digit of 35 (which is 5) by 3: 3 × 5 = 15 . We write down the 5 and carry-over the 1 to the tens place.
Multiplying Tens Digit and Adding Carry-Over Next, we multiply the tens digit of 35 (which is 3) by 3: 3 × 3 = 9 . Then, we add the carry-over 1 to this result: 9 + 1 = 10 . We write down 10 in the tens and hundreds places.
Combining the Results Combining the results, we get 105.
Final Answer Therefore, the product of 35 and 3 is 105 .
Examples
Imagine you're baking cookies for a school event. If each batch of cookies requires 35 grams of sugar and you plan to make 3 batches, you need to calculate the total amount of sugar required. By multiplying 35 grams by 3, you find that you need 105 grams of sugar in total. This simple multiplication helps in everyday situations like cooking, shopping, and managing resources.
Multiplying 35 by 3 involves multiplying the units and tens separately. The units give 15, where we write down 5 and carry over 1, and the tens give 10 after adding the carry-over. Therefore, the final product is 105 .
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