Multiplication worksheet for Grade 4 students focusing on multiplying 2-digit numbers by 4-digit numbers.
Grade 4 multiplication worksheet featuring nine problems that require multiplying 2-digit numbers by 4-digit numbers, with a clean layout and space for calculations.
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Show Answer Key & Explanations
Step-by-step solution for: Multiply in columns: 2 by 4-digit numbers | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Multiply in columns: 2 by 4-digit numbers | Worsheets library
The task involves solving multiplication problems where a 2-digit number is multiplied by a 4-digit number. Below, I will solve each problem step by step.
---
#### Step 1: Multiply \( 5,807 \) by \( 7 \)
\[
5,807 \times 7 = 40,649
\]
#### Step 2: Multiply \( 5,807 \) by \( 80 \) (since \( 87 = 7 + 80 \))
\[
5,807 \times 80 = 464,560
\]
#### Step 3: Add the results from Steps 1 and 2
\[
40,649 + 464,560 = 505,209
\]
Answer for Problem 1:
\[
\boxed{505,209}
\]
---
#### Step 1: Multiply \( 7,725 \) by \( 8 \)
\[
7,725 \times 8 = 61,800
\]
#### Step 2: Multiply \( 7,725 \) by \( 30 \) (since \( 38 = 8 + 30 \))
\[
7,725 \times 30 = 231,750
\]
#### Step 3: Add the results from Steps 1 and 2
\[
61,800 + 231,750 = 293,550
\]
Answer for Problem 2:
\[
\boxed{293,550}
\]
---
#### Step 1: Multiply \( 7,079 \) by \( 7 \)
\[
7,079 \times 7 = 49,553
\]
#### Step 2: Multiply \( 7,079 \) by \( 20 \) (since \( 27 = 7 + 20 \))
\[
7,079 \times 20 = 141,580
\]
#### Step 3: Add the results from Steps 1 and 2
\[
49,553 + 141,580 = 191,133
\]
Answer for Problem 3:
\[
\boxed{191,133}
\]
---
#### Step 1: Multiply \( 9,186 \) by \( 9 \)
\[
9,186 \times 9 = 82,674
\]
#### Step 2: Multiply \( 9,186 \) by \( 70 \) (since \( 79 = 9 + 70 \))
\[
9,186 \times 70 = 643,020
\]
#### Step 3: Add the results from Steps 1 and 2
\[
82,674 + 643,020 = 725,694
\]
Answer for Problem 4:
\[
\boxed{725,694}
\]
---
#### Step 1: Multiply \( 4,477 \) by \( 8 \)
\[
4,477 \times 8 = 35,816
\]
#### Step 2: Multiply \( 4,477 \) by \( 80 \) (since \( 88 = 8 + 80 \))
\[
4,477 \times 80 = 358,160
\]
#### Step 3: Add the results from Steps 1 and 2
\[
35,816 + 358,160 = 393,976
\]
Answer for Problem 5:
\[
\boxed{393,976}
\]
---
#### Step 1: Multiply \( 5,031 \) by \( 1 \)
\[
5,031 \times 1 = 5,031
\]
#### Step 2: Multiply \( 5,031 \) by \( 10 \) (since \( 11 = 1 + 10 \))
\[
5,031 \times 10 = 50,310
\]
#### Step 3: Add the results from Steps 1 and 2
\[
5,031 + 50,310 = 55,341
\]
Answer for Problem 6:
\[
\boxed{55,341}
\]
---
#### Step 1: Multiply \( 7,344 \) by \( 1 \)
\[
7,344 \times 1 = 7,344
\]
#### Step 2: Multiply \( 7,344 \) by \( 80 \) (since \( 81 = 1 + 80 \))
\[
7,344 \times 80 = 587,520
\]
#### Step 3: Add the results from Steps 1 and 2
\[
7,344 + 587,520 = 594,864
\]
Answer for Problem 7:
\[
\boxed{594,864}
\]
---
#### Step 1: Multiply \( 1,134 \) by \( 3 \)
\[
1,134 \times 3 = 3,402
\]
#### Step 2: Multiply \( 1,134 \) by \( 10 \) (since \( 13 = 3 + 10 \))
\[
1,134 \times 10 = 11,340
\]
#### Step 3: Add the results from Steps 1 and 2
\[
3,402 + 11,340 = 14,742
\]
Answer for Problem 8:
\[
\boxed{14,742}
\]
---
#### Step 1: Multiply \( 4,439 \) by \( 8 \)
\[
4,439 \times 8 = 35,512
\]
#### Step 2: Multiply \( 4,439 \) by \( 80 \) (since \( 88 = 8 + 80 \))
\[
4,439 \times 80 = 355,120
\]
#### Step 3: Add the results from Steps 1 and 2
\[
35,512 + 355,120 = 390,632
\]
Answer for Problem 9:
\[
\boxed{390,632}
\]
---
\[
\boxed{505,209, 293,550, 191,133, 725,694, 393,976, 55,341, 594,864, 14,742, 390,632}
\]
---
Problem 1: \( 5,807 \times 87 \)
#### Step 1: Multiply \( 5,807 \) by \( 7 \)
\[
5,807 \times 7 = 40,649
\]
#### Step 2: Multiply \( 5,807 \) by \( 80 \) (since \( 87 = 7 + 80 \))
\[
5,807 \times 80 = 464,560
\]
#### Step 3: Add the results from Steps 1 and 2
\[
40,649 + 464,560 = 505,209
\]
Answer for Problem 1:
\[
\boxed{505,209}
\]
---
Problem 2: \( 7,725 \times 38 \)
#### Step 1: Multiply \( 7,725 \) by \( 8 \)
\[
7,725 \times 8 = 61,800
\]
#### Step 2: Multiply \( 7,725 \) by \( 30 \) (since \( 38 = 8 + 30 \))
\[
7,725 \times 30 = 231,750
\]
#### Step 3: Add the results from Steps 1 and 2
\[
61,800 + 231,750 = 293,550
\]
Answer for Problem 2:
\[
\boxed{293,550}
\]
---
Problem 3: \( 7,079 \times 27 \)
#### Step 1: Multiply \( 7,079 \) by \( 7 \)
\[
7,079 \times 7 = 49,553
\]
#### Step 2: Multiply \( 7,079 \) by \( 20 \) (since \( 27 = 7 + 20 \))
\[
7,079 \times 20 = 141,580
\]
#### Step 3: Add the results from Steps 1 and 2
\[
49,553 + 141,580 = 191,133
\]
Answer for Problem 3:
\[
\boxed{191,133}
\]
---
Problem 4: \( 9,186 \times 79 \)
#### Step 1: Multiply \( 9,186 \) by \( 9 \)
\[
9,186 \times 9 = 82,674
\]
#### Step 2: Multiply \( 9,186 \) by \( 70 \) (since \( 79 = 9 + 70 \))
\[
9,186 \times 70 = 643,020
\]
#### Step 3: Add the results from Steps 1 and 2
\[
82,674 + 643,020 = 725,694
\]
Answer for Problem 4:
\[
\boxed{725,694}
\]
---
Problem 5: \( 4,477 \times 88 \)
#### Step 1: Multiply \( 4,477 \) by \( 8 \)
\[
4,477 \times 8 = 35,816
\]
#### Step 2: Multiply \( 4,477 \) by \( 80 \) (since \( 88 = 8 + 80 \))
\[
4,477 \times 80 = 358,160
\]
#### Step 3: Add the results from Steps 1 and 2
\[
35,816 + 358,160 = 393,976
\]
Answer for Problem 5:
\[
\boxed{393,976}
\]
---
Problem 6: \( 5,031 \times 11 \)
#### Step 1: Multiply \( 5,031 \) by \( 1 \)
\[
5,031 \times 1 = 5,031
\]
#### Step 2: Multiply \( 5,031 \) by \( 10 \) (since \( 11 = 1 + 10 \))
\[
5,031 \times 10 = 50,310
\]
#### Step 3: Add the results from Steps 1 and 2
\[
5,031 + 50,310 = 55,341
\]
Answer for Problem 6:
\[
\boxed{55,341}
\]
---
Problem 7: \( 7,344 \times 81 \)
#### Step 1: Multiply \( 7,344 \) by \( 1 \)
\[
7,344 \times 1 = 7,344
\]
#### Step 2: Multiply \( 7,344 \) by \( 80 \) (since \( 81 = 1 + 80 \))
\[
7,344 \times 80 = 587,520
\]
#### Step 3: Add the results from Steps 1 and 2
\[
7,344 + 587,520 = 594,864
\]
Answer for Problem 7:
\[
\boxed{594,864}
\]
---
Problem 8: \( 1,134 \times 13 \)
#### Step 1: Multiply \( 1,134 \) by \( 3 \)
\[
1,134 \times 3 = 3,402
\]
#### Step 2: Multiply \( 1,134 \) by \( 10 \) (since \( 13 = 3 + 10 \))
\[
1,134 \times 10 = 11,340
\]
#### Step 3: Add the results from Steps 1 and 2
\[
3,402 + 11,340 = 14,742
\]
Answer for Problem 8:
\[
\boxed{14,742}
\]
---
Problem 9: \( 4,439 \times 88 \)
#### Step 1: Multiply \( 4,439 \) by \( 8 \)
\[
4,439 \times 8 = 35,512
\]
#### Step 2: Multiply \( 4,439 \) by \( 80 \) (since \( 88 = 8 + 80 \))
\[
4,439 \times 80 = 355,120
\]
#### Step 3: Add the results from Steps 1 and 2
\[
35,512 + 355,120 = 390,632
\]
Answer for Problem 9:
\[
\boxed{390,632}
\]
---
Final Answers:
\[
\boxed{505,209, 293,550, 191,133, 725,694, 393,976, 55,341, 594,864, 14,742, 390,632}
\]
Parent Tip: Review the logic above to help your child master the concept of 2 x 2 multiplication worksheet.