Math Multiplication Worksheets 4th Grade - Free Printable
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Step-by-step solution for: Math Multiplication Worksheets 4th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Math Multiplication Worksheets 4th Grade
The image you uploaded is a multiplication worksheet where the task involves multiplying 4-digit numbers by 1-digit numbers. Below, I will solve each problem step by step and explain the process.
---
#### Problem 1:
$$
2614 \times 5
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 5 = 20 \). Write down 0 and carry over 2.
2. Multiply the tens place: \( 1 \times 5 = 5 \), add the carry-over 2: \( 5 + 2 = 7 \).
3. Multiply the hundreds place: \( 6 \times 5 = 30 \).
4. Multiply the thousands place: \( 2 \times 5 = 10 \).
Putting it all together:
$$
2614 \times 5 = 13070
$$
#### Problem 2:
$$
3136 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 9 = 54 \). Write down 4 and carry over 5.
2. Multiply the tens place: \( 3 \times 9 = 27 \), add the carry-over 5: \( 27 + 5 = 32 \). Write down 2 and carry over 3.
3. Multiply the hundreds place: \( 1 \times 9 = 9 \), add the carry-over 3: \( 9 + 3 = 12 \). Write down 2 and carry over 1.
4. Multiply the thousands place: \( 3 \times 9 = 27 \), add the carry-over 1: \( 27 + 1 = 28 \).
Putting it all together:
$$
3136 \times 9 = 28224
$$
#### Problem 3:
$$
2105 \times 6
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 5 \times 6 = 30 \). Write down 0 and carry over 3.
2. Multiply the tens place: \( 0 \times 6 = 0 \), add the carry-over 3: \( 0 + 3 = 3 \).
3. Multiply the hundreds place: \( 1 \times 6 = 6 \).
4. Multiply the thousands place: \( 2 \times 6 = 12 \).
Putting it all together:
$$
2105 \times 6 = 12630
$$
#### Problem 4:
$$
6745 \times 4
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 5 \times 4 = 20 \). Write down 0 and carry over 2.
2. Multiply the tens place: \( 4 \times 4 = 16 \), add the carry-over 2: \( 16 + 2 = 18 \). Write down 8 and carry over 1.
3. Multiply the hundreds place: \( 7 \times 4 = 28 \), add the carry-over 1: \( 28 + 1 = 29 \). Write down 9 and carry over 2.
4. Multiply the thousands place: \( 6 \times 4 = 24 \), add the carry-over 2: \( 24 + 2 = 26 \).
Putting it all together:
$$
6745 \times 4 = 26980
$$
#### Problem 5:
$$
1023 \times 8
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 3 \times 8 = 24 \). Write down 4 and carry over 2.
2. Multiply the tens place: \( 2 \times 8 = 16 \), add the carry-over 2: \( 16 + 2 = 18 \). Write down 8 and carry over 1.
3. Multiply the hundreds place: \( 0 \times 8 = 0 \), add the carry-over 1: \( 0 + 1 = 1 \).
4. Multiply the thousands place: \( 1 \times 8 = 8 \).
Putting it all together:
$$
1023 \times 8 = 8184
$$
#### Problem 6:
$$
3402 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 2 \times 9 = 18 \). Write down 8 and carry over 1.
2. Multiply the tens place: \( 0 \times 9 = 0 \), add the carry-over 1: \( 0 + 1 = 1 \).
3. Multiply the hundreds place: \( 4 \times 9 = 36 \).
4. Multiply the thousands place: \( 3 \times 9 = 27 \).
Putting it all together:
$$
3402 \times 9 = 30618
$$
#### Problem 7:
$$
4724 \times 6
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 6 = 24 \). Write down 4 and carry over 2.
2. Multiply the tens place: \( 2 \times 6 = 12 \), add the carry-over 2: \( 12 + 2 = 14 \). Write down 4 and carry over 1.
3. Multiply the hundreds place: \( 7 \times 6 = 42 \), add the carry-over 1: \( 42 + 1 = 43 \). Write down 3 and carry over 4.
4. Multiply the thousands place: \( 4 \times 6 = 24 \), add the carry-over 4: \( 24 + 4 = 28 \).
Putting it all together:
$$
4724 \times 6 = 28344
$$
#### Problem 8:
$$
5648 \times 3
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 8 \times 3 = 24 \). Write down 4 and carry over 2.
2. Multiply the tens place: \( 4 \times 3 = 12 \), add the carry-over 2: \( 12 + 2 = 14 \). Write down 4 and carry over 1.
3. Multiply the hundreds place: \( 6 \times 3 = 18 \), add the carry-over 1: \( 18 + 1 = 19 \). Write down 9 and carry over 1.
4. Multiply the thousands place: \( 5 \times 3 = 15 \), add the carry-over 1: \( 15 + 1 = 16 \).
Putting it all together:
$$
5648 \times 3 = 16944
$$
#### Problem 9:
$$
7046 \times 5
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 5 = 30 \). Write down 0 and carry over 3.
2. Multiply the tens place: \( 4 \times 5 = 20 \), add the carry-over 3: \( 20 + 3 = 23 \). Write down 3 and carry over 2.
3. Multiply the hundreds place: \( 0 \times 5 = 0 \), add the carry-over 2: \( 0 + 2 = 2 \).
4. Multiply the thousands place: \( 7 \times 5 = 35 \).
Putting it all together:
$$
7046 \times 5 = 35230
$$
#### Problem 10:
$$
2314 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 1 \times 9 = 9 \), add the carry-over 3: \( 9 + 3 = 12 \). Write down 2 and carry over 1.
3. Multiply the hundreds place: \( 3 \times 9 = 27 \), add the carry-over 1: \( 27 + 1 = 28 \). Write down 8 and carry over 2.
4. Multiply the thousands place: \( 2 \times 9 = 18 \), add the carry-over 2: \( 18 + 2 = 20 \).
Putting it all together:
$$
2314 \times 9 = 20826
$$
#### Problem 11:
$$
7158 \times 1
$$
Step-by-Step Solution:
Multiplying any number by 1 gives the same number:
$$
7158 \times 1 = 7158
$$
#### Problem 12:
$$
3104 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 0 \times 9 = 0 \), add the carry-over 3: \( 0 + 3 = 3 \).
3. Multiply the hundreds place: \( 1 \times 9 = 9 \).
4. Multiply the thousands place: \( 3 \times 9 = 27 \).
Putting it all together:
$$
3104 \times 9 = 27936
$$
#### Problem 13:
$$
1157 \times 7
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 7 \times 7 = 49 \). Write down 9 and carry over 4.
2. Multiply the tens place: \( 5 \times 7 = 35 \), add the carry-over 4: \( 35 + 4 = 39 \). Write down 9 and carry over 3.
3. Multiply the hundreds place: \( 1 \times 7 = 7 \), add the carry-over 3: \( 7 + 3 = 10 \). Write down 0 and carry over 1.
4. Multiply the thousands place: \( 1 \times 7 = 7 \), add the carry-over 1: \( 7 + 1 = 8 \).
Putting it all together:
$$
1157 \times 7 = 8099
$$
#### Problem 14:
$$
6395 \times 4
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 5 \times 4 = 20 \). Write down 0 and carry over 2.
2. Multiply the tens place: \( 9 \times 4 = 36 \), add the carry-over 2: \( 36 + 2 = 38 \). Write down 8 and carry over 3.
3. Multiply the hundreds place: \( 3 \times 4 = 12 \), add the carry-over 3: \( 12 + 3 = 15 \). Write down 5 and carry over 1.
4. Multiply the thousands place: \( 6 \times 4 = 24 \), add the carry-over 1: \( 24 + 1 = 25 \).
Putting it all together:
$$
6395 \times 4 = 25580
$$
#### Problem 15:
$$
4679 \times 5
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 9 \times 5 = 45 \). Write down 5 and carry over 4.
2. Multiply the tens place: \( 7 \times 5 = 35 \), add the carry-over 4: \( 35 + 4 = 39 \). Write down 9 and carry over 3.
3. Multiply the hundreds place: \( 6 \times 5 = 30 \), add the carry-over 3: \( 30 + 3 = 33 \). Write down 3 and carry over 3.
4. Multiply the thousands place: \( 4 \times 5 = 20 \), add the carry-over 3: \( 20 + 3 = 23 \).
Putting it all together:
$$
4679 \times 5 = 23395
$$
#### Problem 16:
$$
7829 \times 6
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 9 \times 6 = 54 \). Write down 4 and carry over 5.
2. Multiply the tens place: \( 2 \times 6 = 12 \), add the carry-over 5: \( 12 + 5 = 17 \). Write down 7 and carry over 1.
3. Multiply the hundreds place: \( 8 \times 6 = 48 \), add the carry-over 1: \( 48 + 1 = 49 \). Write down 9 and carry over 4.
4. Multiply the thousands place: \( 7 \times 6 = 42 \), add the carry-over 4: \( 42 + 4 = 46 \).
Putting it all together:
$$
7829 \times 6 = 46974
$$
#### Problem 17:
$$
1264 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 6 \times 9 = 54 \), add the carry-over 3: \( 54 + 3 = 57 \). Write down 7 and carry over 5.
3. Multiply the hundreds place: \( 2 \times 9 = 18 \), add the carry-over 5: \( 18 + 5 = 23 \). Write down 3 and carry over 2.
4. Multiply the thousands place: \( 1 \times 9 = 9 \), add the carry-over 2: \( 9 + 2 = 11 \).
Putting it all together:
$$
1264 \times 9 = 11376
$$
#### Problem 18:
$$
3064 \times 3
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 3 = 12 \). Write down 2 and carry over 1.
2. Multiply the tens place: \( 6 \times 3 = 18 \), add the carry-over 1: \( 18 + 1 = 19 \). Write down 9 and carry over 1.
3. Multiply the hundreds place: \( 0 \times 3 = 0 \), add the carry-over 1: \( 0 + 1 = 1 \).
4. Multiply the thousands place: \( 3 \times 3 = 9 \).
Putting it all together:
$$
3064 \times 3 = 9192
$$
#### Problem 19:
$$
8176 \times 8
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 8 = 48 \). Write down 8 and carry over 4.
2. Multiply the tens place: \( 7 \times 8 = 56 \), add the carry-over 4: \( 56 + 4 = 60 \). Write down 0 and carry over 6.
3. Multiply the hundreds place: \( 1 \times 8 = 8 \), add the carry-over 6: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
4. Multiply the thousands place: \( 8 \times 8 = 64 \), add the carry-over 1: \( 64 + 1 = 65 \).
Putting it all together:
$$
8176 \times 8 = 65408
$$
#### Problem 20:
$$
2306 \times 8
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 8 = 48 \). Write down 8 and carry over 4.
2. Multiply the tens place: \( 0 \times 8 = 0 \), add the carry-over 4: \( 0 + 4 = 4 \).
3. Multiply the hundreds place: \( 3 \times 8 = 24 \).
4. Multiply the thousands place: \( 2 \times 8 = 16 \).
Putting it all together:
$$
2306 \times 8 = 18448
$$
---
$$
\boxed{
\begin{aligned}
1) & \ 13070 \\
2) & \ 28224 \\
3) & \ 12630 \\
4) & \ 26980 \\
5) & \ 8184 \\
6) & \ 30618 \\
7) & \ 28344 \\
8) & \ 16944 \\
9) & \ 35230 \\
10) & \ 20826 \\
11) & \ 7158 \\
12) & \ 27936 \\
13) & \ 8099 \\
14) & \ 25580 \\
15) & \ 23395 \\
16) & \ 46974 \\
17) & \ 11376 \\
18) & \ 9192 \\
19) & \ 65408 \\
20) & \ 18448 \\
\end{aligned}
}
$$
---
Worksheet: 4-DIGIT BY 1-DIGIT MULTIPLICATION SHEET 3
#### Problem 1:
$$
2614 \times 5
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 5 = 20 \). Write down 0 and carry over 2.
2. Multiply the tens place: \( 1 \times 5 = 5 \), add the carry-over 2: \( 5 + 2 = 7 \).
3. Multiply the hundreds place: \( 6 \times 5 = 30 \).
4. Multiply the thousands place: \( 2 \times 5 = 10 \).
Putting it all together:
$$
2614 \times 5 = 13070
$$
#### Problem 2:
$$
3136 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 9 = 54 \). Write down 4 and carry over 5.
2. Multiply the tens place: \( 3 \times 9 = 27 \), add the carry-over 5: \( 27 + 5 = 32 \). Write down 2 and carry over 3.
3. Multiply the hundreds place: \( 1 \times 9 = 9 \), add the carry-over 3: \( 9 + 3 = 12 \). Write down 2 and carry over 1.
4. Multiply the thousands place: \( 3 \times 9 = 27 \), add the carry-over 1: \( 27 + 1 = 28 \).
Putting it all together:
$$
3136 \times 9 = 28224
$$
#### Problem 3:
$$
2105 \times 6
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 5 \times 6 = 30 \). Write down 0 and carry over 3.
2. Multiply the tens place: \( 0 \times 6 = 0 \), add the carry-over 3: \( 0 + 3 = 3 \).
3. Multiply the hundreds place: \( 1 \times 6 = 6 \).
4. Multiply the thousands place: \( 2 \times 6 = 12 \).
Putting it all together:
$$
2105 \times 6 = 12630
$$
#### Problem 4:
$$
6745 \times 4
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 5 \times 4 = 20 \). Write down 0 and carry over 2.
2. Multiply the tens place: \( 4 \times 4 = 16 \), add the carry-over 2: \( 16 + 2 = 18 \). Write down 8 and carry over 1.
3. Multiply the hundreds place: \( 7 \times 4 = 28 \), add the carry-over 1: \( 28 + 1 = 29 \). Write down 9 and carry over 2.
4. Multiply the thousands place: \( 6 \times 4 = 24 \), add the carry-over 2: \( 24 + 2 = 26 \).
Putting it all together:
$$
6745 \times 4 = 26980
$$
#### Problem 5:
$$
1023 \times 8
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 3 \times 8 = 24 \). Write down 4 and carry over 2.
2. Multiply the tens place: \( 2 \times 8 = 16 \), add the carry-over 2: \( 16 + 2 = 18 \). Write down 8 and carry over 1.
3. Multiply the hundreds place: \( 0 \times 8 = 0 \), add the carry-over 1: \( 0 + 1 = 1 \).
4. Multiply the thousands place: \( 1 \times 8 = 8 \).
Putting it all together:
$$
1023 \times 8 = 8184
$$
#### Problem 6:
$$
3402 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 2 \times 9 = 18 \). Write down 8 and carry over 1.
2. Multiply the tens place: \( 0 \times 9 = 0 \), add the carry-over 1: \( 0 + 1 = 1 \).
3. Multiply the hundreds place: \( 4 \times 9 = 36 \).
4. Multiply the thousands place: \( 3 \times 9 = 27 \).
Putting it all together:
$$
3402 \times 9 = 30618
$$
#### Problem 7:
$$
4724 \times 6
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 6 = 24 \). Write down 4 and carry over 2.
2. Multiply the tens place: \( 2 \times 6 = 12 \), add the carry-over 2: \( 12 + 2 = 14 \). Write down 4 and carry over 1.
3. Multiply the hundreds place: \( 7 \times 6 = 42 \), add the carry-over 1: \( 42 + 1 = 43 \). Write down 3 and carry over 4.
4. Multiply the thousands place: \( 4 \times 6 = 24 \), add the carry-over 4: \( 24 + 4 = 28 \).
Putting it all together:
$$
4724 \times 6 = 28344
$$
#### Problem 8:
$$
5648 \times 3
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 8 \times 3 = 24 \). Write down 4 and carry over 2.
2. Multiply the tens place: \( 4 \times 3 = 12 \), add the carry-over 2: \( 12 + 2 = 14 \). Write down 4 and carry over 1.
3. Multiply the hundreds place: \( 6 \times 3 = 18 \), add the carry-over 1: \( 18 + 1 = 19 \). Write down 9 and carry over 1.
4. Multiply the thousands place: \( 5 \times 3 = 15 \), add the carry-over 1: \( 15 + 1 = 16 \).
Putting it all together:
$$
5648 \times 3 = 16944
$$
#### Problem 9:
$$
7046 \times 5
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 5 = 30 \). Write down 0 and carry over 3.
2. Multiply the tens place: \( 4 \times 5 = 20 \), add the carry-over 3: \( 20 + 3 = 23 \). Write down 3 and carry over 2.
3. Multiply the hundreds place: \( 0 \times 5 = 0 \), add the carry-over 2: \( 0 + 2 = 2 \).
4. Multiply the thousands place: \( 7 \times 5 = 35 \).
Putting it all together:
$$
7046 \times 5 = 35230
$$
#### Problem 10:
$$
2314 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 1 \times 9 = 9 \), add the carry-over 3: \( 9 + 3 = 12 \). Write down 2 and carry over 1.
3. Multiply the hundreds place: \( 3 \times 9 = 27 \), add the carry-over 1: \( 27 + 1 = 28 \). Write down 8 and carry over 2.
4. Multiply the thousands place: \( 2 \times 9 = 18 \), add the carry-over 2: \( 18 + 2 = 20 \).
Putting it all together:
$$
2314 \times 9 = 20826
$$
#### Problem 11:
$$
7158 \times 1
$$
Step-by-Step Solution:
Multiplying any number by 1 gives the same number:
$$
7158 \times 1 = 7158
$$
#### Problem 12:
$$
3104 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 0 \times 9 = 0 \), add the carry-over 3: \( 0 + 3 = 3 \).
3. Multiply the hundreds place: \( 1 \times 9 = 9 \).
4. Multiply the thousands place: \( 3 \times 9 = 27 \).
Putting it all together:
$$
3104 \times 9 = 27936
$$
#### Problem 13:
$$
1157 \times 7
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 7 \times 7 = 49 \). Write down 9 and carry over 4.
2. Multiply the tens place: \( 5 \times 7 = 35 \), add the carry-over 4: \( 35 + 4 = 39 \). Write down 9 and carry over 3.
3. Multiply the hundreds place: \( 1 \times 7 = 7 \), add the carry-over 3: \( 7 + 3 = 10 \). Write down 0 and carry over 1.
4. Multiply the thousands place: \( 1 \times 7 = 7 \), add the carry-over 1: \( 7 + 1 = 8 \).
Putting it all together:
$$
1157 \times 7 = 8099
$$
#### Problem 14:
$$
6395 \times 4
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 5 \times 4 = 20 \). Write down 0 and carry over 2.
2. Multiply the tens place: \( 9 \times 4 = 36 \), add the carry-over 2: \( 36 + 2 = 38 \). Write down 8 and carry over 3.
3. Multiply the hundreds place: \( 3 \times 4 = 12 \), add the carry-over 3: \( 12 + 3 = 15 \). Write down 5 and carry over 1.
4. Multiply the thousands place: \( 6 \times 4 = 24 \), add the carry-over 1: \( 24 + 1 = 25 \).
Putting it all together:
$$
6395 \times 4 = 25580
$$
#### Problem 15:
$$
4679 \times 5
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 9 \times 5 = 45 \). Write down 5 and carry over 4.
2. Multiply the tens place: \( 7 \times 5 = 35 \), add the carry-over 4: \( 35 + 4 = 39 \). Write down 9 and carry over 3.
3. Multiply the hundreds place: \( 6 \times 5 = 30 \), add the carry-over 3: \( 30 + 3 = 33 \). Write down 3 and carry over 3.
4. Multiply the thousands place: \( 4 \times 5 = 20 \), add the carry-over 3: \( 20 + 3 = 23 \).
Putting it all together:
$$
4679 \times 5 = 23395
$$
#### Problem 16:
$$
7829 \times 6
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 9 \times 6 = 54 \). Write down 4 and carry over 5.
2. Multiply the tens place: \( 2 \times 6 = 12 \), add the carry-over 5: \( 12 + 5 = 17 \). Write down 7 and carry over 1.
3. Multiply the hundreds place: \( 8 \times 6 = 48 \), add the carry-over 1: \( 48 + 1 = 49 \). Write down 9 and carry over 4.
4. Multiply the thousands place: \( 7 \times 6 = 42 \), add the carry-over 4: \( 42 + 4 = 46 \).
Putting it all together:
$$
7829 \times 6 = 46974
$$
#### Problem 17:
$$
1264 \times 9
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 9 = 36 \). Write down 6 and carry over 3.
2. Multiply the tens place: \( 6 \times 9 = 54 \), add the carry-over 3: \( 54 + 3 = 57 \). Write down 7 and carry over 5.
3. Multiply the hundreds place: \( 2 \times 9 = 18 \), add the carry-over 5: \( 18 + 5 = 23 \). Write down 3 and carry over 2.
4. Multiply the thousands place: \( 1 \times 9 = 9 \), add the carry-over 2: \( 9 + 2 = 11 \).
Putting it all together:
$$
1264 \times 9 = 11376
$$
#### Problem 18:
$$
3064 \times 3
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 4 \times 3 = 12 \). Write down 2 and carry over 1.
2. Multiply the tens place: \( 6 \times 3 = 18 \), add the carry-over 1: \( 18 + 1 = 19 \). Write down 9 and carry over 1.
3. Multiply the hundreds place: \( 0 \times 3 = 0 \), add the carry-over 1: \( 0 + 1 = 1 \).
4. Multiply the thousands place: \( 3 \times 3 = 9 \).
Putting it all together:
$$
3064 \times 3 = 9192
$$
#### Problem 19:
$$
8176 \times 8
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 8 = 48 \). Write down 8 and carry over 4.
2. Multiply the tens place: \( 7 \times 8 = 56 \), add the carry-over 4: \( 56 + 4 = 60 \). Write down 0 and carry over 6.
3. Multiply the hundreds place: \( 1 \times 8 = 8 \), add the carry-over 6: \( 8 + 6 = 14 \). Write down 4 and carry over 1.
4. Multiply the thousands place: \( 8 \times 8 = 64 \), add the carry-over 1: \( 64 + 1 = 65 \).
Putting it all together:
$$
8176 \times 8 = 65408
$$
#### Problem 20:
$$
2306 \times 8
$$
Step-by-Step Solution:
1. Multiply the ones place: \( 6 \times 8 = 48 \). Write down 8 and carry over 4.
2. Multiply the tens place: \( 0 \times 8 = 0 \), add the carry-over 4: \( 0 + 4 = 4 \).
3. Multiply the hundreds place: \( 3 \times 8 = 24 \).
4. Multiply the thousands place: \( 2 \times 8 = 16 \).
Putting it all together:
$$
2306 \times 8 = 18448
$$
---
Final Answers:
$$
\boxed{
\begin{aligned}
1) & \ 13070 \\
2) & \ 28224 \\
3) & \ 12630 \\
4) & \ 26980 \\
5) & \ 8184 \\
6) & \ 30618 \\
7) & \ 28344 \\
8) & \ 16944 \\
9) & \ 35230 \\
10) & \ 20826 \\
11) & \ 7158 \\
12) & \ 27936 \\
13) & \ 8099 \\
14) & \ 25580 \\
15) & \ 23395 \\
16) & \ 46974 \\
17) & \ 11376 \\
18) & \ 9192 \\
19) & \ 65408 \\
20) & \ 18448 \\
\end{aligned}
}
$$
Parent Tip: Review the logic above to help your child master the concept of 4 digit multiplication worksheet.
