Multiply by 2-digit numbers: complete the missing steps

key notes :

✨ Key Idea:

When multiplying by a 2-digit number, we break the number into tens and ones, multiply separately, and then add the results.

---

🔹 Steps to Multiply by 2-Digit Numbers:

• Write the numbers in columns (ones under ones, tens under tens).
• Multiply the ones digit of the 2-digit number with the top number.
• Write the result in the first row.
• Multiply the tens digit of the 2-digit number with the top number.
• Remember to place a zero (0) at the end (since it’s in the tens place).
• Add the two partial products to get the final answer.

---

🔹 Example 1:

Multiply 236 × 24

Step 1: Multiply by the ones digit (4):

236 × 4 = 944

Step 2: Multiply by the tens digit (20):

236 × 20 = 4720

Step 3: Add the results:

  944
+4720
-----
 5664

✅ Final Answer: 5664

---

🔹 Example 2 (Fill in the missing step):

Multiply 154 × 23

Step 1: Multiply by the ones digit (3):

154 × 3 = 462

Step 2: Multiply by the tens digit (20):

154 × 20 = ______

👉 Missing step: 3080

Step 3: Add the results:

   462
+ 3080
------
  3542

✅ Final Answer: 3542

---

📝 Practice Problems (with blanks to fill):

1. 128 × 34
   • 128 × 4 = ______
   • 128 × 30 = ______
   • Final Answer = ______
2. 215 × 46
   • 215 × 6 = ______
   • 215 × 40 = ______
   • Final Answer = ______

---

🌟 Tips for Students:

• Always keep numbers lined up correctly (ones under ones).
• Don’t forget the zero when multiplying by the tens place.
• Check your addition carefully to avoid mistakes.

Learn with an example

Let’s practice!