3-Digit by 3-Digit Multiplication worksheet for math practice.
A worksheet titled "3-Digit by 3-Digit Multiplication" with eight multiplication problems, featuring a cartoon child holding a pencil and another child at a desk with books.
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ID: #753987
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit Multiplication Worksheets with Answer Key
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit Multiplication Worksheets with Answer Key
To solve the problem, we need to calculate the product of each pair of 3-digit numbers. Let's go through each multiplication step by step.
\[
\begin{array}{r}
317 \\
\times 278 \\
\hline
2536 \quad \text{(317 × 8)} \\
22190 \quad \text{(317 × 70, shift one position left)} \\
+ 63400 \quad \text{(317 × 200, shift two positions left)} \\
\hline
88286 \\
\end{array}
\]
So, \( 317 \times 278 = 88286 \).
\[
\begin{array}{r}
789 \\
\times 348 \\
\hline
6312 \quad \text{(789 × 8)} \\
31560 \quad \text{(789 × 40, shift one position left)} \\
+ 236700 \quad \text{(789 × 300, shift two positions left)} \\
\hline
275832 \\
\end{array}
\]
So, \( 789 \times 348 = 275832 \).
\[
\begin{array}{r}
618 \\
\times 297 \\
\hline
4326 \quad \text{(618 × 7)} \\
55620 \quad \text{(618 × 90, shift one position left)} \\
+ 123600 \quad \text{(618 × 200, shift two positions left)} \\
\hline
183366 \\
\end{array}
\]
So, \( 618 \times 297 = 183366 \).
\[
\begin{array}{r}
761 \\
\times 465 \\
\hline
3805 \quad \text{(761 × 5)} \\
45660 \quad \text{(761 × 60, shift one position left)} \\
+ 304400 \quad \text{(761 × 400, shift two positions left)} \\
\hline
352815 \\
\end{array}
\]
So, \( 761 \times 465 = 352815 \).
\[
\begin{array}{r}
698 \\
\times 236 \\
\hline
4188 \quad \text{(698 × 6)} \\
20940 \quad \text{(698 × 30, shift one position left)} \\
+ 139600 \quad \text{(698 × 200, shift two positions left)} \\
\hline
165088 \\
\end{array}
\]
So, \( 698 \times 236 = 165088 \).
\[
\begin{array}{r}
989 \\
\times 737 \\
\hline
6923 \quad \text{(989 × 7)} \\
29670 \quad \text{(989 × 30, shift one position left)} \\
+ 692300 \quad \text{(989 × 700, shift two positions left)} \\
\hline
727393 \\
\end{array}
\]
So, \( 989 \times 737 = 727393 \).
\[
\begin{array}{r}
671 \\
\times 826 \\
\hline
4026 \quad \text{(671 × 6)} \\
13420 \quad \text{(671 × 20, shift one position left)} \\
+ 536800 \quad \text{(671 × 800, shift two positions left)} \\
\hline
554746 \\
\end{array}
\]
So, \( 671 \times 826 = 554746 \).
\[
\begin{array}{r}
792 \\
\times 889 \\
\hline
7128 \quad \text{(792 × 9)} \\
63360 \quad \text{(792 × 80, shift one position left)} \\
+ 633600 \quad \text{(792 × 800, shift two positions left)} \\
\hline
701128 \\
\end{array}
\]
So, \( 792 \times 889 = 701128 \).
\[
\begin{array}{r}
238 \\
\times 925 \\
\hline
1190 \quad \text{(238 × 5)} \\
47600 \quad \text{(238 × 20, shift one position left)} \\
+ 214200 \quad \text{(238 × 900, shift two positions left)} \\
\hline
220450 \\
\end{array}
\]
So, \( 238 \times 925 = 220450 \).
\[
\begin{array}{r}
562 \\
\times 709 \\
\hline
5058 \quad \text{(562 × 9)} \\
39340 \quad \text{(562 × 0, shift one position left)} \\
+ 393400 \quad \text{(562 × 700, shift two positions left)} \\
\hline
398158 \\
\end{array}
\]
So, \( 562 \times 709 = 398158 \).
\[
\begin{array}{r}
299 \\
\times 808 \\
\hline
2392 \quad \text{(299 × 8)} \\
00000 \quad \text{(299 × 0, shift one position left)} \\
+ 239200 \quad \text{(299 × 800, shift two positions left)} \\
\hline
241192 \\
\end{array}
\]
So, \( 299 \times 808 = 241192 \).
\[
\begin{array}{r}
668 \\
\times 256 \\
\hline
4008 \quad \text{(668 × 6)} \\
33400 \quad \text{(668 × 50, shift one position left)} \\
+ 133600 \quad \text{(668 × 200, shift two positions left)} \\
\hline
170688 \\
\end{array}
\]
So, \( 668 \times 256 = 170688 \).
\[
\begin{array}{r}
785 \\
\times 445 \\
\hline
3925 \quad \text{(785 × 5)} \\
31400 \quad \text{(785 × 40, shift one position left)} \\
+ 314000 \quad \text{(785 × 400, shift two positions left)} \\
\hline
350025 \\
\end{array}
\]
So, \( 785 \times 445 = 350025 \).
\[
\boxed{88286, 275832, 183366, 352815, 165088, 727393, 554746, 701128, 220450, 398158, 241192, 170688, 350025}
\]
1. \( 317 \times 278 \)
\[
\begin{array}{r}
317 \\
\times 278 \\
\hline
2536 \quad \text{(317 × 8)} \\
22190 \quad \text{(317 × 70, shift one position left)} \\
+ 63400 \quad \text{(317 × 200, shift two positions left)} \\
\hline
88286 \\
\end{array}
\]
So, \( 317 \times 278 = 88286 \).
2. \( 789 \times 348 \)
\[
\begin{array}{r}
789 \\
\times 348 \\
\hline
6312 \quad \text{(789 × 8)} \\
31560 \quad \text{(789 × 40, shift one position left)} \\
+ 236700 \quad \text{(789 × 300, shift two positions left)} \\
\hline
275832 \\
\end{array}
\]
So, \( 789 \times 348 = 275832 \).
3. \( 618 \times 297 \)
\[
\begin{array}{r}
618 \\
\times 297 \\
\hline
4326 \quad \text{(618 × 7)} \\
55620 \quad \text{(618 × 90, shift one position left)} \\
+ 123600 \quad \text{(618 × 200, shift two positions left)} \\
\hline
183366 \\
\end{array}
\]
So, \( 618 \times 297 = 183366 \).
4. \( 761 \times 465 \)
\[
\begin{array}{r}
761 \\
\times 465 \\
\hline
3805 \quad \text{(761 × 5)} \\
45660 \quad \text{(761 × 60, shift one position left)} \\
+ 304400 \quad \text{(761 × 400, shift two positions left)} \\
\hline
352815 \\
\end{array}
\]
So, \( 761 \times 465 = 352815 \).
5. \( 698 \times 236 \)
\[
\begin{array}{r}
698 \\
\times 236 \\
\hline
4188 \quad \text{(698 × 6)} \\
20940 \quad \text{(698 × 30, shift one position left)} \\
+ 139600 \quad \text{(698 × 200, shift two positions left)} \\
\hline
165088 \\
\end{array}
\]
So, \( 698 \times 236 = 165088 \).
6. \( 989 \times 737 \)
\[
\begin{array}{r}
989 \\
\times 737 \\
\hline
6923 \quad \text{(989 × 7)} \\
29670 \quad \text{(989 × 30, shift one position left)} \\
+ 692300 \quad \text{(989 × 700, shift two positions left)} \\
\hline
727393 \\
\end{array}
\]
So, \( 989 \times 737 = 727393 \).
7. \( 671 \times 826 \)
\[
\begin{array}{r}
671 \\
\times 826 \\
\hline
4026 \quad \text{(671 × 6)} \\
13420 \quad \text{(671 × 20, shift one position left)} \\
+ 536800 \quad \text{(671 × 800, shift two positions left)} \\
\hline
554746 \\
\end{array}
\]
So, \( 671 \times 826 = 554746 \).
8. \( 792 \times 889 \)
\[
\begin{array}{r}
792 \\
\times 889 \\
\hline
7128 \quad \text{(792 × 9)} \\
63360 \quad \text{(792 × 80, shift one position left)} \\
+ 633600 \quad \text{(792 × 800, shift two positions left)} \\
\hline
701128 \\
\end{array}
\]
So, \( 792 \times 889 = 701128 \).
9. \( 238 \times 925 \)
\[
\begin{array}{r}
238 \\
\times 925 \\
\hline
1190 \quad \text{(238 × 5)} \\
47600 \quad \text{(238 × 20, shift one position left)} \\
+ 214200 \quad \text{(238 × 900, shift two positions left)} \\
\hline
220450 \\
\end{array}
\]
So, \( 238 \times 925 = 220450 \).
10. \( 562 \times 709 \)
\[
\begin{array}{r}
562 \\
\times 709 \\
\hline
5058 \quad \text{(562 × 9)} \\
39340 \quad \text{(562 × 0, shift one position left)} \\
+ 393400 \quad \text{(562 × 700, shift two positions left)} \\
\hline
398158 \\
\end{array}
\]
So, \( 562 \times 709 = 398158 \).
11. \( 299 \times 808 \)
\[
\begin{array}{r}
299 \\
\times 808 \\
\hline
2392 \quad \text{(299 × 8)} \\
00000 \quad \text{(299 × 0, shift one position left)} \\
+ 239200 \quad \text{(299 × 800, shift two positions left)} \\
\hline
241192 \\
\end{array}
\]
So, \( 299 \times 808 = 241192 \).
12. \( 668 \times 256 \)
\[
\begin{array}{r}
668 \\
\times 256 \\
\hline
4008 \quad \text{(668 × 6)} \\
33400 \quad \text{(668 × 50, shift one position left)} \\
+ 133600 \quad \text{(668 × 200, shift two positions left)} \\
\hline
170688 \\
\end{array}
\]
So, \( 668 \times 256 = 170688 \).
13. \( 785 \times 445 \)
\[
\begin{array}{r}
785 \\
\times 445 \\
\hline
3925 \quad \text{(785 × 5)} \\
31400 \quad \text{(785 × 40, shift one position left)} \\
+ 314000 \quad \text{(785 × 400, shift two positions left)} \\
\hline
350025 \\
\end{array}
\]
So, \( 785 \times 445 = 350025 \).
Final Answer
\[
\boxed{88286, 275832, 183366, 352815, 165088, 727393, 554746, 701128, 220450, 398158, 241192, 170688, 350025}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplication by 3.