5th Grade Math Worksheet with multiplication exercises for students.
5th Grade Math Worksheet featuring multiplication problems with two-digit numbers, designed for educational practice.
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Step-by-step solution for: Fifth Grade Math Worksheets
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Step-by-step solution for: Fifth Grade Math Worksheets
The image shows a 5th-grade math worksheet focusing on multiplication. The task is to solve the given multiplication problems. Below, I will explain how to approach and solve these problems step by step.
---
1. Align the numbers correctly: Ensure that the digits are aligned properly based on their place values.
2. Multiply each digit of the second number by the first number: Start from the rightmost digit of the second number and multiply it by the entire first number. Then move to the next digit in the second number and repeat.
3. Add the partial products: After multiplying each digit, add all the resulting partial products to get the final answer.
---
#### Problem 1: \( 1235 \times 1432 \)
1. Multiply \( 1235 \) by \( 2 \):
\[
1235 \times 2 = 2470
\]
2. Multiply \( 1235 \) by \( 3 \) (shift one place to the left):
\[
1235 \times 3 = 3705 \quad \text{(write as 37050)}
\]
3. Multiply \( 1235 \) by \( 4 \) (shift two places to the left):
\[
1235 \times 4 = 4940 \quad \text{(write as 494000)}
\]
4. Multiply \( 1235 \) by \( 1 \) (shift three places to the left):
\[
1235 \times 1 = 1235 \quad \text{(write as 1235000)}
\]
5. Add all the partial products:
\[
2470 + 37050 + 494000 + 1235000 = 1868520
\]
Answer: \( 1868520 \)
---
#### Problem 2: \( 2123 \times 1241 \)
1. Multiply \( 2123 \) by \( 1 \):
\[
2123 \times 1 = 2123
\]
2. Multiply \( 2123 \) by \( 4 \) (shift one place to the left):
\[
2123 \times 4 = 8492 \quad \text{(write as 84920)}
\]
3. Multiply \( 2123 \) by \( 2 \) (shift two places to the left):
\[
2123 \times 2 = 4246 \quad \text{(write as 424600)}
\]
4. Multiply \( 2123 \) by \( 1 \) (shift three places to the left):
\[
2123 \times 1 = 2123 \quad \text{(write as 2123000)}
\]
5. Add all the partial products:
\[
2123 + 84920 + 424600 + 2123000 = 2634043
\]
Answer: \( 2634043 \)
---
#### Problem 3: \( 1604 \times 2350 \)
1. Multiply \( 1604 \) by \( 0 \):
\[
1604 \times 0 = 0
\]
2. Multiply \( 1604 \) by \( 5 \) (shift one place to the left):
\[
1604 \times 5 = 8020 \quad \text{(write as 80200)}
\]
3. Multiply \( 1604 \) by \( 3 \) (shift two places to the left):
\[
1604 \times 3 = 4812 \quad \text{(write as 481200)}
\]
4. Multiply \( 1604 \) by \( 2 \) (shift three places to the left):
\[
1604 \times 2 = 3208 \quad \text{(write as 3208000)}
\]
5. Add all the partial products:
\[
0 + 80200 + 481200 + 3208000 = 3769400
\]
Answer: \( 3769400 \)
---
#### Problem 4: \( 1704 \times 1098 \)
1. Multiply \( 1704 \) by \( 8 \):
\[
1704 \times 8 = 13632
\]
2. Multiply \( 1704 \) by \( 9 \) (shift one place to the left):
\[
1704 \times 9 = 15336 \quad \text{(write as 153360)}
\]
3. Multiply \( 1704 \) by \( 0 \) (shift two places to the left):
\[
1704 \times 0 = 0 \quad \text{(write as 0)}
\]
4. Multiply \( 1704 \) by \( 1 \) (shift three places to the left):
\[
1704 \times 1 = 1704 \quad \text{(write as 1704000)}
\]
5. Add all the partial products:
\[
13632 + 153360 + 0 + 1704000 = 1870992
\]
Answer: \( 1870992 \)
---
#### Problem 5: \( 2091 \times 1533 \)
1. Multiply \( 2091 \) by \( 3 \):
\[
2091 \times 3 = 6273
\]
2. Multiply \( 2091 \) by \( 3 \) (shift one place to the left):
\[
2091 \times 3 = 6273 \quad \text{(write as 62730)}
\]
3. Multiply \( 2091 \) by \( 5 \) (shift two places to the left):
\[
2091 \times 5 = 10455 \quad \text{(write as 1045500)}
\]
4. Multiply \( 2091 \) by \( 1 \) (shift three places to the left):
\[
2091 \times 1 = 2091 \quad \text{(write as 2091000)}
\]
5. Add all the partial products:
\[
6273 + 62730 + 1045500 + 2091000 = 3165503
\]
Answer: \( 3165503 \)
---
#### Problem 6: \( 1034 \times 1390 \)
1. Multiply \( 1034 \) by \( 0 \):
\[
1034 \times 0 = 0
\]
2. Multiply \( 1034 \) by \( 9 \) (shift one place to the left):
\[
1034 \times 9 = 9306 \quad \text{(write as 93060)}
\]
3. Multiply \( 1034 \) by \( 3 \) (shift two places to the left):
\[
1034 \times 3 = 3102 \quad \text{(write as 310200)}
\]
4. Multiply \( 1034 \) by \( 1 \) (shift three places to the left):
\[
1034 \times 1 = 1034 \quad \text{(write as 1034000)}
\]
5. Add all the partial products:
\[
0 + 93060 + 310200 + 1034000 = 1437260
\]
Answer: \( 1437260 \)
---
#### Problem 7: \( 1195 \times 1585 \)
1. Multiply \( 1195 \) by \( 5 \):
\[
1195 \times 5 = 5975
\]
2. Multiply \( 1195 \) by \( 8 \) (shift one place to the left):
\[
1195 \times 8 = 9560 \quad \text{(write as 95600)}
\]
3. Multiply \( 1195 \) by \( 5 \) (shift two places to the left):
\[
1195 \times 5 = 5975 \quad \text{(write as 597500)}
\]
4. Multiply \( 1195 \) by \( 1 \) (shift three places to the left):
\[
1195 \times 1 = 1195 \quad \text{(write as 1195000)}
\]
5. Add all the partial products:
\[
5975 + 95600 + 597500 + 1195000 = 1893075
\]
Answer: \( 1893075 \)
---
#### Problem 8: \( 3129 \times 1690 \)
1. Multiply \( 3129 \) by \( 0 \):
\[
3129 \times 0 = 0
\]
2. Multiply \( 3129 \) by \( 9 \) (shift one place to the left):
\[
3129 \times 9 = 28161 \quad \text{(write as 281610)}
\]
3. Multiply \( 3129 \) by \( 6 \) (shift two places to the left):
\[
3129 \times 6 = 18774 \quad \text{(write as 1877400)}
\]
4. Multiply \( 3129 \) by \( 1 \) (shift three places to the left):
\[
3129 \times 1 = 3129 \quad \text{(write as 3129000)}
\]
5. Add all the partial products:
\[
0 + 281610 + 1877400 + 3129000 = 5288010
\]
Answer: \( 5288010 \)
---
#### Problem 9: \( 1430 \times 2316 \)
1. Multiply \( 1430 \) by \( 6 \):
\[
1430 \times 6 = 8580
\]
2. Multiply \( 1430 \) by \( 1 \) (shift one place to the left):
\[
1430 \times 1 = 1430 \quad \text{(write as 14300)}
\]
3. Multiply \( 1430 \) by \( 3 \) (shift two places to the left):
\[
1430 \times 3 = 4290 \quad \text{(write as 429000)}
\]
4. Multiply \( 1430 \) by \( 2 \) (shift three places to the left):
\[
1430 \times 2 = 2860 \quad \text{(write as 2860000)}
\]
5. Add all the partial products:
\[
8580 + 14300 + 429000 + 2860000 = 3351880
\]
Answer: \( 3351880 \)
---
#### Problem 10: \( 5614 \times 2060 \)
1. Multiply \( 5614 \) by \( 0 \):
\[
5614 \times 0 = 0
\]
2. Multiply \( 5614 \) by \( 6 \) (shift one place to the left):
\[
5614 \times 6 = 33684 \quad \text{(write as 336840)}
\]
3. Multiply \( 5614 \) by \( 0 \) (shift two places to the left):
\[
5614 \times 0 = 0 \quad \text{(write as 0)}
\]
4. Multiply \( 5614 \) by \( 2 \) (shift three places to the left):
\[
5614 \times 2 = 11228 \quad \text{(write as 11228000)}
\]
5. Add all the partial products:
\[
0 + 336840 + 0 + 11228000 = 11564840
\]
Answer: \( 11564840 \)
---
#### Problem 11: \( 1430 \times 2451 \)
1. Multiply \( 1430 \) by \( 1 \):
\[
1430 \times 1 = 1430
\]
2. Multiply \( 1430 \) by \( 5 \) (shift one place to the left):
\[
1430 \times 5 = 7150 \quad \text{(write as 71500)}
\]
3. Multiply \( 1430 \) by \( 4 \) (shift two places to the left):
\[
1430 \times 4 = 5720 \quad \text{(write as 572000)}
\]
4. Multiply \( 1430 \) by \( 2 \) (shift three places to the left):
\[
1430 \times 2 = 2860 \quad \text{(write as 2860000)}
\]
5. Add all the partial products:
\[
1430 + 71500 + 572000 + 2860000 = 3504930
\]
Answer: \( 3504930 \)
---
#### Problem 12: \( 4643 \times 2358 \)
1. Multiply \( 4643 \) by \( 8 \):
\[
4643 \times 8 = 37144
\]
2. Multiply \( 4643 \) by \( 5 \) (shift one place to the left):
\[
4643 \times 5 = 23215 \quad \text{(write as 232150)}
\]
3. Multiply \( 4643 \) by \( 3 \) (shift two places to the left):
\[
4643 \times 3 = 13929 \quad \text{(write as 1392900)}
\]
4. Multiply \( 4643 \) by \( 2 \) (shift three places to the left):
\[
4643 \times 2 = 9286 \quad \text{(write as 9286000)}
\]
5. Add all the partial products:
\[
37144 + 232150 + 1392900 + 9286000 = 11058194
\]
Answer: \( 11058194 \)
---
#### Problem 13: \( 2802 \times 1917 \)
1. Multiply \( 2802 \) by \( 7 \):
\[
2802 \times 7 = 19614
\]
2. Multiply \( 2802 \) by \( 1 \) (shift one place to the left):
\[
2802 \times 1 = 2802 \quad \text{(write as 28020)}
\]
3. Multiply \( 2802 \) by \( 9 \) (shift two places to the left):
\[
2802 \times 9 = 25218 \quad \text{(write as 2521800)}
\]
4. Multiply \( 2802 \) by \( 1 \) (shift three places to the left):
\[
2802 \times 1 = 2802 \quad \text{(write as 2802000)}
\]
5. Add all the partial products:
\[
19614 + 28020 + 2521800 + 2802000 = 5463434
\]
Answer: \( 5463434 \)
---
#### Problem 14: \( 2675 \times 1032 \)
1. Multiply \( 2675 \) by \( 2 \):
\[
2675 \times 2 = 5350
\]
2. Multiply \( 2675 \) by \( 3 \) (shift one place to the left):
\[
2675 \times 3 = 8025 \quad \text{(write as 80250)}
\]
3. Multiply \( 2675 \) by \( 0 \) (shift two places to the left):
\[
2675 \times 0 = 0 \quad \text{(write as 0)}
\]
4. Multiply \( 2675 \) by \( 1 \) (shift three places to the left):
\[
2675 \times 1 = 2675 \quad \text{(write as 2675000)}
\]
5. Add all the partial products:
\[
5350 + 80250 + 0 + 2675000 = 2760600
\]
Answer: \( 2760600 \)
---
#### Problem 15: \( 2541 \times 1434 \)
1. Multiply \( 2541 \) by \( 4 \):
\[
2541 \times 4 = 10164
\]
2. Multiply \( 2541 \) by \( 3 \) (shift one place to the left):
\[
2541 \times 3 = 7623 \quad \text{(write as 76230)}
\]
3. Multiply \( 2541 \) by \( 4 \) (shift two places to the left):
\[
2541 \times 4 = 10164 \quad \text{(write as 1016400)}
\]
4. Multiply \( 2541 \) by \( 1 \) (shift three places to the left):
\[
2541 \times 1 = 2541 \quad \text{(write as 2541000)}
\]
5. Add all the partial products:
\[
10164 + 76230 + 1016400 + 2541000 = 3634794
\]
Answer: \( 3634794 \)
---
#### Problem 16: \( 2619 \times 1210 \)
1. Multiply \( 2619 \) by \( 0 \):
\[
2619 \times 0 = 0
\]
2. Multiply \( 2619 \) by \( 1 \) (shift one place to the left):
\[
2619 \times 1 = 2619 \quad \text{(write as 26190)}
\]
3. Multiply \( 2619 \) by \( 2 \) (shift two places to the left):
\[
2619 \times 2 = 5238 \quad \text{(write as 523800)}
\]
4. Multiply \( 2619 \) by \( 1 \) (shift three places to the left):
\[
2619 \times 1 = 2619 \quad \text{(write as 2619000)}
\]
5. Add all the partial products:
\[
0 + 26190 + 523800 + 2619000 = 3168990
\]
Answer: \( 3168990 \)
---
\[
\boxed{
\begin{aligned}
&1868520, \, 2634043, \, 3769400, \, 1870992, \, 3165503, \, 1437260, \, 1893075, \, 5288010, \\
&3351880, \, 11564840, \, 3504930, \, 11058194, \, 5463434, \, 2760600, \, 3634794, \, 3168990
\end{aligned}
}
\]
---
General Approach to Multiplication
1. Align the numbers correctly: Ensure that the digits are aligned properly based on their place values.
2. Multiply each digit of the second number by the first number: Start from the rightmost digit of the second number and multiply it by the entire first number. Then move to the next digit in the second number and repeat.
3. Add the partial products: After multiplying each digit, add all the resulting partial products to get the final answer.
---
Solving Each Problem
#### Problem 1: \( 1235 \times 1432 \)
1. Multiply \( 1235 \) by \( 2 \):
\[
1235 \times 2 = 2470
\]
2. Multiply \( 1235 \) by \( 3 \) (shift one place to the left):
\[
1235 \times 3 = 3705 \quad \text{(write as 37050)}
\]
3. Multiply \( 1235 \) by \( 4 \) (shift two places to the left):
\[
1235 \times 4 = 4940 \quad \text{(write as 494000)}
\]
4. Multiply \( 1235 \) by \( 1 \) (shift three places to the left):
\[
1235 \times 1 = 1235 \quad \text{(write as 1235000)}
\]
5. Add all the partial products:
\[
2470 + 37050 + 494000 + 1235000 = 1868520
\]
Answer: \( 1868520 \)
---
#### Problem 2: \( 2123 \times 1241 \)
1. Multiply \( 2123 \) by \( 1 \):
\[
2123 \times 1 = 2123
\]
2. Multiply \( 2123 \) by \( 4 \) (shift one place to the left):
\[
2123 \times 4 = 8492 \quad \text{(write as 84920)}
\]
3. Multiply \( 2123 \) by \( 2 \) (shift two places to the left):
\[
2123 \times 2 = 4246 \quad \text{(write as 424600)}
\]
4. Multiply \( 2123 \) by \( 1 \) (shift three places to the left):
\[
2123 \times 1 = 2123 \quad \text{(write as 2123000)}
\]
5. Add all the partial products:
\[
2123 + 84920 + 424600 + 2123000 = 2634043
\]
Answer: \( 2634043 \)
---
#### Problem 3: \( 1604 \times 2350 \)
1. Multiply \( 1604 \) by \( 0 \):
\[
1604 \times 0 = 0
\]
2. Multiply \( 1604 \) by \( 5 \) (shift one place to the left):
\[
1604 \times 5 = 8020 \quad \text{(write as 80200)}
\]
3. Multiply \( 1604 \) by \( 3 \) (shift two places to the left):
\[
1604 \times 3 = 4812 \quad \text{(write as 481200)}
\]
4. Multiply \( 1604 \) by \( 2 \) (shift three places to the left):
\[
1604 \times 2 = 3208 \quad \text{(write as 3208000)}
\]
5. Add all the partial products:
\[
0 + 80200 + 481200 + 3208000 = 3769400
\]
Answer: \( 3769400 \)
---
#### Problem 4: \( 1704 \times 1098 \)
1. Multiply \( 1704 \) by \( 8 \):
\[
1704 \times 8 = 13632
\]
2. Multiply \( 1704 \) by \( 9 \) (shift one place to the left):
\[
1704 \times 9 = 15336 \quad \text{(write as 153360)}
\]
3. Multiply \( 1704 \) by \( 0 \) (shift two places to the left):
\[
1704 \times 0 = 0 \quad \text{(write as 0)}
\]
4. Multiply \( 1704 \) by \( 1 \) (shift three places to the left):
\[
1704 \times 1 = 1704 \quad \text{(write as 1704000)}
\]
5. Add all the partial products:
\[
13632 + 153360 + 0 + 1704000 = 1870992
\]
Answer: \( 1870992 \)
---
#### Problem 5: \( 2091 \times 1533 \)
1. Multiply \( 2091 \) by \( 3 \):
\[
2091 \times 3 = 6273
\]
2. Multiply \( 2091 \) by \( 3 \) (shift one place to the left):
\[
2091 \times 3 = 6273 \quad \text{(write as 62730)}
\]
3. Multiply \( 2091 \) by \( 5 \) (shift two places to the left):
\[
2091 \times 5 = 10455 \quad \text{(write as 1045500)}
\]
4. Multiply \( 2091 \) by \( 1 \) (shift three places to the left):
\[
2091 \times 1 = 2091 \quad \text{(write as 2091000)}
\]
5. Add all the partial products:
\[
6273 + 62730 + 1045500 + 2091000 = 3165503
\]
Answer: \( 3165503 \)
---
#### Problem 6: \( 1034 \times 1390 \)
1. Multiply \( 1034 \) by \( 0 \):
\[
1034 \times 0 = 0
\]
2. Multiply \( 1034 \) by \( 9 \) (shift one place to the left):
\[
1034 \times 9 = 9306 \quad \text{(write as 93060)}
\]
3. Multiply \( 1034 \) by \( 3 \) (shift two places to the left):
\[
1034 \times 3 = 3102 \quad \text{(write as 310200)}
\]
4. Multiply \( 1034 \) by \( 1 \) (shift three places to the left):
\[
1034 \times 1 = 1034 \quad \text{(write as 1034000)}
\]
5. Add all the partial products:
\[
0 + 93060 + 310200 + 1034000 = 1437260
\]
Answer: \( 1437260 \)
---
#### Problem 7: \( 1195 \times 1585 \)
1. Multiply \( 1195 \) by \( 5 \):
\[
1195 \times 5 = 5975
\]
2. Multiply \( 1195 \) by \( 8 \) (shift one place to the left):
\[
1195 \times 8 = 9560 \quad \text{(write as 95600)}
\]
3. Multiply \( 1195 \) by \( 5 \) (shift two places to the left):
\[
1195 \times 5 = 5975 \quad \text{(write as 597500)}
\]
4. Multiply \( 1195 \) by \( 1 \) (shift three places to the left):
\[
1195 \times 1 = 1195 \quad \text{(write as 1195000)}
\]
5. Add all the partial products:
\[
5975 + 95600 + 597500 + 1195000 = 1893075
\]
Answer: \( 1893075 \)
---
#### Problem 8: \( 3129 \times 1690 \)
1. Multiply \( 3129 \) by \( 0 \):
\[
3129 \times 0 = 0
\]
2. Multiply \( 3129 \) by \( 9 \) (shift one place to the left):
\[
3129 \times 9 = 28161 \quad \text{(write as 281610)}
\]
3. Multiply \( 3129 \) by \( 6 \) (shift two places to the left):
\[
3129 \times 6 = 18774 \quad \text{(write as 1877400)}
\]
4. Multiply \( 3129 \) by \( 1 \) (shift three places to the left):
\[
3129 \times 1 = 3129 \quad \text{(write as 3129000)}
\]
5. Add all the partial products:
\[
0 + 281610 + 1877400 + 3129000 = 5288010
\]
Answer: \( 5288010 \)
---
#### Problem 9: \( 1430 \times 2316 \)
1. Multiply \( 1430 \) by \( 6 \):
\[
1430 \times 6 = 8580
\]
2. Multiply \( 1430 \) by \( 1 \) (shift one place to the left):
\[
1430 \times 1 = 1430 \quad \text{(write as 14300)}
\]
3. Multiply \( 1430 \) by \( 3 \) (shift two places to the left):
\[
1430 \times 3 = 4290 \quad \text{(write as 429000)}
\]
4. Multiply \( 1430 \) by \( 2 \) (shift three places to the left):
\[
1430 \times 2 = 2860 \quad \text{(write as 2860000)}
\]
5. Add all the partial products:
\[
8580 + 14300 + 429000 + 2860000 = 3351880
\]
Answer: \( 3351880 \)
---
#### Problem 10: \( 5614 \times 2060 \)
1. Multiply \( 5614 \) by \( 0 \):
\[
5614 \times 0 = 0
\]
2. Multiply \( 5614 \) by \( 6 \) (shift one place to the left):
\[
5614 \times 6 = 33684 \quad \text{(write as 336840)}
\]
3. Multiply \( 5614 \) by \( 0 \) (shift two places to the left):
\[
5614 \times 0 = 0 \quad \text{(write as 0)}
\]
4. Multiply \( 5614 \) by \( 2 \) (shift three places to the left):
\[
5614 \times 2 = 11228 \quad \text{(write as 11228000)}
\]
5. Add all the partial products:
\[
0 + 336840 + 0 + 11228000 = 11564840
\]
Answer: \( 11564840 \)
---
#### Problem 11: \( 1430 \times 2451 \)
1. Multiply \( 1430 \) by \( 1 \):
\[
1430 \times 1 = 1430
\]
2. Multiply \( 1430 \) by \( 5 \) (shift one place to the left):
\[
1430 \times 5 = 7150 \quad \text{(write as 71500)}
\]
3. Multiply \( 1430 \) by \( 4 \) (shift two places to the left):
\[
1430 \times 4 = 5720 \quad \text{(write as 572000)}
\]
4. Multiply \( 1430 \) by \( 2 \) (shift three places to the left):
\[
1430 \times 2 = 2860 \quad \text{(write as 2860000)}
\]
5. Add all the partial products:
\[
1430 + 71500 + 572000 + 2860000 = 3504930
\]
Answer: \( 3504930 \)
---
#### Problem 12: \( 4643 \times 2358 \)
1. Multiply \( 4643 \) by \( 8 \):
\[
4643 \times 8 = 37144
\]
2. Multiply \( 4643 \) by \( 5 \) (shift one place to the left):
\[
4643 \times 5 = 23215 \quad \text{(write as 232150)}
\]
3. Multiply \( 4643 \) by \( 3 \) (shift two places to the left):
\[
4643 \times 3 = 13929 \quad \text{(write as 1392900)}
\]
4. Multiply \( 4643 \) by \( 2 \) (shift three places to the left):
\[
4643 \times 2 = 9286 \quad \text{(write as 9286000)}
\]
5. Add all the partial products:
\[
37144 + 232150 + 1392900 + 9286000 = 11058194
\]
Answer: \( 11058194 \)
---
#### Problem 13: \( 2802 \times 1917 \)
1. Multiply \( 2802 \) by \( 7 \):
\[
2802 \times 7 = 19614
\]
2. Multiply \( 2802 \) by \( 1 \) (shift one place to the left):
\[
2802 \times 1 = 2802 \quad \text{(write as 28020)}
\]
3. Multiply \( 2802 \) by \( 9 \) (shift two places to the left):
\[
2802 \times 9 = 25218 \quad \text{(write as 2521800)}
\]
4. Multiply \( 2802 \) by \( 1 \) (shift three places to the left):
\[
2802 \times 1 = 2802 \quad \text{(write as 2802000)}
\]
5. Add all the partial products:
\[
19614 + 28020 + 2521800 + 2802000 = 5463434
\]
Answer: \( 5463434 \)
---
#### Problem 14: \( 2675 \times 1032 \)
1. Multiply \( 2675 \) by \( 2 \):
\[
2675 \times 2 = 5350
\]
2. Multiply \( 2675 \) by \( 3 \) (shift one place to the left):
\[
2675 \times 3 = 8025 \quad \text{(write as 80250)}
\]
3. Multiply \( 2675 \) by \( 0 \) (shift two places to the left):
\[
2675 \times 0 = 0 \quad \text{(write as 0)}
\]
4. Multiply \( 2675 \) by \( 1 \) (shift three places to the left):
\[
2675 \times 1 = 2675 \quad \text{(write as 2675000)}
\]
5. Add all the partial products:
\[
5350 + 80250 + 0 + 2675000 = 2760600
\]
Answer: \( 2760600 \)
---
#### Problem 15: \( 2541 \times 1434 \)
1. Multiply \( 2541 \) by \( 4 \):
\[
2541 \times 4 = 10164
\]
2. Multiply \( 2541 \) by \( 3 \) (shift one place to the left):
\[
2541 \times 3 = 7623 \quad \text{(write as 76230)}
\]
3. Multiply \( 2541 \) by \( 4 \) (shift two places to the left):
\[
2541 \times 4 = 10164 \quad \text{(write as 1016400)}
\]
4. Multiply \( 2541 \) by \( 1 \) (shift three places to the left):
\[
2541 \times 1 = 2541 \quad \text{(write as 2541000)}
\]
5. Add all the partial products:
\[
10164 + 76230 + 1016400 + 2541000 = 3634794
\]
Answer: \( 3634794 \)
---
#### Problem 16: \( 2619 \times 1210 \)
1. Multiply \( 2619 \) by \( 0 \):
\[
2619 \times 0 = 0
\]
2. Multiply \( 2619 \) by \( 1 \) (shift one place to the left):
\[
2619 \times 1 = 2619 \quad \text{(write as 26190)}
\]
3. Multiply \( 2619 \) by \( 2 \) (shift two places to the left):
\[
2619 \times 2 = 5238 \quad \text{(write as 523800)}
\]
4. Multiply \( 2619 \) by \( 1 \) (shift three places to the left):
\[
2619 \times 1 = 2619 \quad \text{(write as 2619000)}
\]
5. Add all the partial products:
\[
0 + 26190 + 523800 + 2619000 = 3168990
\]
Answer: \( 3168990 \)
---
Final Answers
\[
\boxed{
\begin{aligned}
&1868520, \, 2634043, \, 3769400, \, 1870992, \, 3165503, \, 1437260, \, 1893075, \, 5288010, \\
&3351880, \, 11564840, \, 3504930, \, 11058194, \, 5463434, \, 2760600, \, 3634794, \, 3168990
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 5th grade math worksheet multiplication and division.
