Multiply 4-Digit and 2-Digit Numbers: Vertical Multiplication ... - Free Printable

The task involves multiplying 4-digit numbers by 2-digit numbers. Let's solve each multiplication step by step.

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1. \( 1147 \times 37 \)

#### Step 1: Multiply \( 1147 \) by \( 7 \)
\[
1147 \times 7 = 7929
\]

#### Step 2: Multiply \( 1147 \) by \( 30 \) (which is the same as \( 1147 \times 3 \times 10 \))
\[
1147 \times 3 = 3441
\]
\[
3441 \times 10 = 34410
\]

#### Step 3: Add the results from Steps 1 and 2
\[
7929 + 34410 = 42339
\]

So, \( 1147 \times 37 = 42339 \).

---

2. \( 3220 \times 35 \)

#### Step 1: Multiply \( 3220 \) by \( 5 \)
\[
3220 \times 5 = 16100
\]

#### Step 2: Multiply \( 3220 \) by \( 30 \) (which is the same as \( 3220 \times 3 \times 10 \))
\[
3220 \times 3 = 9660
\]
\[
9660 \times 10 = 96600
\]

#### Step 3: Add the results from Steps 1 and 2
\[
16100 + 96600 = 112700
\]

So, \( 3220 \times 35 = 112700 \).

---

3. \( 6201 \times 89 \)

#### Step 1: Multiply \( 6201 \) by \( 9 \)
\[
6201 \times 9 = 55809
\]

#### Step 2: Multiply \( 6201 \) by \( 80 \) (which is the same as \( 6201 \times 8 \times 10 \))
\[
6201 \times 8 = 49608
\]
\[
49608 \times 10 = 496080
\]

#### Step 3: Add the results from Steps 1 and 2
\[
55809 + 496080 = 551889
\]

So, \( 6201 \times 89 = 551889 \).

---

4. \( 1913 \times 54 \)

#### Step 1: Multiply \( 1913 \) by \( 4 \)
\[
1913 \times 4 = 7652
\]

#### Step 2: Multiply \( 1913 \) by \( 50 \) (which is the same as \( 1913 \times 5 \times 10 \))
\[
1913 \times 5 = 9565
\]
\[
9565 \times 10 = 95650
\]

#### Step 3: Add the results from Steps 1 and 2
\[
7652 + 95650 = 103302
\]

So, \( 1913 \times 54 = 103302 \).

---

5. \( 6938 \times 67 \)

#### Step 1: Multiply \( 6938 \) by \( 7 \)
\[
6938 \times 7 = 48566
\]

#### Step 2: Multiply \( 6938 \) by \( 60 \) (which is the same as \( 6938 \times 6 \times 10 \))
\[
6938 \times 6 = 41628
\]
\[
41628 \times 10 = 416280
\]

#### Step 3: Add the results from Steps 1 and 2
\[
48566 + 416280 = 464846
\]

So, \( 6938 \times 67 = 464846 \).

---

6. \( 3111 \times 27 \)

#### Step 1: Multiply \( 3111 \) by \( 7 \)
\[
3111 \times 7 = 21777
\]

#### Step 2: Multiply \( 3111 \) by \( 20 \) (which is the same as \( 3111 \times 2 \times 10 \))
\[
3111 \times 2 = 6222
\]
\[
6222 \times 10 = 62220
\]

#### Step 3: Add the results from Steps 1 and 2
\[
21777 + 62220 = 83997
\]

So, \( 3111 \times 27 = 83997 \).

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Final Answers

\[
\boxed{42339, 112700, 551889, 103302, 464846, 83997}
\]