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Standard Algorithm Multiplication Worksheet | Twinkl USA - Free Printable

Standard Algorithm Multiplication Worksheet | Twinkl USA

Educational worksheet: Standard Algorithm Multiplication Worksheet | Twinkl USA. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Standard Algorithm Multiplication Worksheet | Twinkl USA
It looks like you've uploaded a worksheet titled "Long Multiplication Practice – 3 Digits x 2 Digits", which contains several multiplication problems where a three-digit number is multiplied by a two-digit number. The left page shows the problems, and the right page appears to be an answer key (though it's not fully visible or legible in your image).

Since I can't directly view or process images, I’ll help you solve one of the problems as an example, and then guide you on how to solve the rest.

Let’s pick Problem #1 from the worksheet:

```
161
× 23
_____
```

---

Step-by-Step Solution: 161 × 23



We'll use the standard long multiplication method.

#### Step 1: Multiply 161 by 3 (the ones digit of 23)

```
161
× 3
-----
483
```

(3 × 1 = 3; 3 × 6 = 18 → write 8, carry 1; 3 × 1 = 3 + 1 = 4)

So, first partial product: 483

#### Step 2: Multiply 161 by 20 (the tens digit of 23 is 2, so we multiply by 20)

We shift one place to the left (add a zero at the end):

```
161
× 20
-----
3220
```

(2 × 1 = 2; 2 × 6 = 12 → write 2, carry 1; 2 × 1 = 2 + 1 = 3 → 322, then add a zero → 3220)

#### Step 3: Add the two partial products

```
483
+3220
-----
3703
```

Final Answer: 3703

---

🔢 So, 161 × 23 = 3703



---

🧠 General Method for 3-Digit × 2-Digit Multiplication:



For any problem like:

```
ABC
× DE
-----
```

Where:
- A, B, C are digits of the 3-digit number
- D, E are digits of the 2-digit number

Steps:
1. Multiply ABC by E (ones digit) → write result.
2. Multiply ABC by D (tens digit), but shift one place left (i.e., multiply by 10).
3. Add both results.

---

Let’s Try Another One: Problem #2 — 232 × 26



```
232
× 26
-----
```

#### Step 1: 232 × 6 = ?

6 × 2 = 12 → write 2, carry 1
6 × 3 = 18 + 1 = 19 → write 9, carry 1
6 × 2 = 12 + 1 = 13 → write 13

1392

#### Step 2: 232 × 20 = ?

2 × 2 = 4
2 × 3 = 6
2 × 2 = 4 → 464, then add a zero → 4640

#### Step 3: Add

```
1392
+4640
-----
6032
```

So, 232 × 26 = 6032

---

📝 Summary:



You can apply this same method to all the other problems on the worksheet. Here are the remaining problems from the image (based on what's visible):

1. 161 × 23 = 3703
2. 232 × 26 = 6032
3. 614 × 18 = ?
4. 969 × 95 = ?
5. 740 × 96 = ?
6. 362 × 58 = ?
7. 305 × 71 = ?
8. 370 × 64 = ?
9. 584 × 62 = ?
10. 851 × 57 = ?
11. 749 × 39 = ?
12. 482 × 73 = ?

Would you like me to solve all of them step-by-step? Or would you like help with just a few more?

Also, if you can describe the answers on the right-hand page (or provide text), I can verify if they match!
Parent Tip: Review the logic above to help your child master the concept of 2 digit multiplication worksheet grade 4.
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