Multiplying 4-digit by 2-digit number - Math Worksheets ... - Free Printable

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Show Answer Key & Explanations Step-by-step solution for: Multiplying 4-digit by 2-digit number - Math Worksheets ...

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To solve the multiplication problems, we will multiply each pair of numbers step by step. Let's go through each problem:

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Problem 1: \( 7,114 \times 39 \)

#### Step-by-Step Solution:
1. Multiply \( 7,114 \) by \( 9 \):
\[
7,114 \times 9 = 64,026
\]

2. Multiply \( 7,114 \) by \( 30 \) (which is \( 3 \times 10 \)):
\[
7,114 \times 30 = 213,420
\]

3. Add the results from steps 1 and 2:
\[
64,026 + 213,420 = 277,446
\]

Answer:
\[
\boxed{277,446}
\]

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Problem 2: \( 4,049 \times 67 \)

#### Step-by-Step Solution:
1. Multiply \( 4,049 \) by \( 7 \):
\[
4,049 \times 7 = 28,343
\]

2. Multiply \( 4,049 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
4,049 \times 60 = 242,940
\]

3. Add the results from steps 1 and 2:
\[
28,343 + 242,940 = 271,283
\]

Answer:
\[
\boxed{271,283}
\]

---

Problem 3: \( 5,989 \times 81 \)

#### Step-by-Step Solution:
1. Multiply \( 5,989 \) by \( 1 \):
\[
5,989 \times 1 = 5,989
\]

2. Multiply \( 5,989 \) by \( 80 \) (which is \( 8 \times 10 \)):
\[
5,989 \times 80 = 479,120
\]

3. Add the results from steps 1 and 2:
\[
5,989 + 479,120 = 485,109
\]

Answer:
\[
\boxed{485,109}
\]

---

Problem 4: \( 8,472 \times 68 \)

#### Step-by-Step Solution:
1. Multiply \( 8,472 \) by \( 8 \):
\[
8,472 \times 8 = 67,776
\]

2. Multiply \( 8,472 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
8,472 \times 60 = 508,320
\]

3. Add the results from steps 1 and 2:
\[
67,776 + 508,320 = 576,096
\]

Answer:
\[
\boxed{576,096}
\]

---

Problem 5: \( 2,012 \times 19 \)

#### Step-by-Step Solution:
1. Multiply \( 2,012 \) by \( 9 \):
\[
2,012 \times 9 = 18,108
\]

2. Multiply \( 2,012 \) by \( 10 \):
\[
2,012 \times 10 = 20,120
\]

3. Add the results from steps 1 and 2:
\[
18,108 + 20,120 = 38,228
\]

Answer:
\[
\boxed{38,228}
\]

---

Problem 6: \( 5,375 \times 91 \)

#### Step-by-Step Solution:
1. Multiply \( 5,375 \) by \( 1 \):
\[
5,375 \times 1 = 5,375
\]

2. Multiply \( 5,375 \) by \( 90 \) (which is \( 9 \times 10 \)):
\[
5,375 \times 90 = 483,750
\]

3. Add the results from steps 1 and 2:
\[
5,375 + 483,750 = 489,125
\]

Answer:
\[
\boxed{489,125}
\]

---

Problem 7: \( 6,893 \times 22 \)

#### Step-by-Step Solution:
1. Multiply \( 6,893 \) by \( 2 \):
\[
6,893 \times 2 = 13,786
\]

2. Multiply \( 6,893 \) by \( 20 \) (which is \( 2 \times 10 \)):
\[
6,893 \times 20 = 137,860
\]

3. Add the results from steps 1 and 2:
\[
13,786 + 137,860 = 151,646
\]

Answer:
\[
\boxed{151,646}
\]

---

Problem 8: \( 5,454 \times 37 \)

#### Step-by-Step Solution:
1. Multiply \( 5,454 \) by \( 7 \):
\[
5,454 \times 7 = 38,178
\]

2. Multiply \( 5,454 \) by \( 30 \) (which is \( 3 \times 10 \)):
\[
5,454 \times 30 = 163,620
\]

3. Add the results from steps 1 and 2:
\[
38,178 + 163,620 = 201,798
\]

Answer:
\[
\boxed{201,798}
\]

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Problem 9: \( 2,124 \times 69 \)

#### Step-by-Step Solution:
1. Multiply \( 2,124 \) by \( 9 \):
\[
2,124 \times 9 = 19,116
\]

2. Multiply \( 2,124 \) by \( 60 \) (which is \( 6 \times 10 \)):
\[
2,124 \times 60 = 127,440
\]

3. Add the results from steps 1 and 2:
\[
19,116 + 127,440 = 146,556
\]

Answer:
\[
\boxed{146,556}
\]

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