Multiply 2-digit numbers by 3-digit numbers

Key notes :

⭐ Key Points:

• Multiplication of large numbers is done step by step.
• First, multiply the ones digit of the 2-digit number with the 3-digit number.
• Next, multiply the tens digit of the 2-digit number with the 3-digit number (remember to place a zero at the ones place).
• Add both results to get the final product.

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🔹 Example 1:

Multiply 46 × 325

Step 1: Multiply 325 × 6 (ones place of 46) 325×6=1950325 \times 6 = 1950325×6=1950

Step 2: Multiply 325 × 40 (tens place of 46, so add one zero) 325×40=13000325 \times 40 = 13000325×40=13000

Step 3: Add both results 1950+13000=149501950 + 13000 = 149501950+13000=14950

✅ Final Answer: 46 × 325 = 14,950

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🔹 Example 2:

Multiply 78 × 214

Step 1: Multiply 214 × 8 = 1712
Step 2: Multiply 214 × 70 = 14980
Step 3: Add 1712 + 14980 = 16692

✅ Final Answer: 78 × 214 = 16,692

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✏️ Practice Problems:

• 32 × 143 = ?
• 57 × 324 = ?
• 85 × 216 = ?
• 49 × 305 = ?

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📌 Important Tips:

• Always write numbers neatly in place value columns (ones, tens, hundreds, etc.).
• Don’t forget to add a zero when multiplying with the tens place.
• Double-check your addition at the end.

Learn with an example

Let’s practice!