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In Math / Senior High School | 2024-10-20

Activity No. 2: Multiplying 3- to 4-Digit Numbers by 1-Digit Numbers With Regrouping Objective(s): By the end of the lesson, you should be able to multiply 3- to 4-digit number by 1-digit number with regrouping. Materials Needed: pen and scratch paper Instructions: A. Sketch a new set of base pieces to multiply 253 by 3 then show regrouping.​

Asked by jenyleneplanta

Answer (1)

Answer:To multiply a 3-digit number (253) by a 1-digit number (3) with regrouping, we can follow a step-by-step approach. This process involves breaking down the multiplication into manageable parts, performing the multiplication, and then regrouping if necessary.### Step 1: Set Up the ProblemWe want to multiply 253 by 3. We can write it in a vertical format:``` 253 x 3 _______```### Step 2: Multiply Each DigitWe will multiply each digit of the number 253 by 3, starting from the rightmost digit (the ones place).1. **Multiply the ones place:** - The rightmost digit of 253 is 3 (in the ones place). - Multiply: \(3 \times 3 = 9\). - Write down 9 below the line.``` 253 x 3 _______ 9```2. **Multiply the tens place:** - The next digit of 253 is 5 (in the tens place). - Multiply: \(5 \times 3 = 15\). - We write down 5 below the line and carry over 1 (the 1 represents the 'ten' from '15').``` 253 x 3 _______ 59``` - Now we add the carried over 1 to the next multiplication: - The 1 is added to the tens place multiplication. - So we have \(1 + 5 \times 3 = 15\), which gives us a total of 15 again. - We write down 5 and carry over 1 again.``` 253 x 3 _______ 59```3. **Multiply the hundreds place:** - The leftmost digit of 253 is 2 (in the hundreds place). - Multiply: \(2 \times 3 = 6\). - Add the carried over 1: \(6 + 1 = 7\). - Write down 7.``` 253 x 3 _______ 759```### Step 3: Combine the ResultsNow, we combine the digits we wrote down. The final answer is:``` 253 x 3 _______ 759```### ConclusionSo, when you multiply 253 by 3, the product is 759. This process involved regrouping when we had sums that exceeded 9, ensuring we carried over the extra value to the next digit's multiplication correctly.Step-by-step explanation:BRANLIST ME

Answered by justinemendoza15 | 2024-10-20