Answers − Long Multiplication − Traditional method
1. 23 × 97 =
(a) write the multiplication as follows:
(b) multiply 23 by 7:
(c) multiply 23 by 90:
| 23 |
| × 97 |
| ------- |
| 161 |
| 2070 |
| ------- |
(d) add the two resulting rows:
| 23 |
| × 97 |
| ------- |
| 161 |
| +2070 |
| ------- |
| 2231 |
2. 475 × 88 =
(a) write the multiplication as follows:
(b) multiply 475 by 8:
(c) multiply 475 by 80:
| 475 |
| × 80 |
| ------- |
| 3800 |
| 38000 |
| ------- |
(d) add the two resulting rows:
| 475 |
| × 88 |
| ------- |
| 3800 |
| +38000 |
| ------- |
| 41800 |
3. 576 × 72 =
(a) write the multiplication as follows:
(b) multiply 576 by 2:
(c) multiply 576 by 70:
| 576 |
| × 72 |
| ------- |
| 1152 |
| 40320 |
| ------- |
(d) add the two resulting rows:
| 576 |
| × 72 |
| ------- |
| 1152 |
| +40320 |
| ------- |
| 41472 |
4. 1783 × 37 =
(a) write the multiplication as follows:
(b) multiply 1783 by 7:
(c) multiply 1783 by 30:
| 1783 |
| × 37 |
| ------- |
| 12481 |
| 53490 |
| ------- |
(d) add the two resulting rows:
| 1783 |
| × 37 |
| ------- |
| 12481 |
| +53490 |
| ------- |
| 65971 |
5. 684 × 47 =
(a) write the multiplication as follows:
(b) multiply 684 by 7:
(c) multiply 684 by 40:
| 684 |
| × 47 |
| ------- |
| 4788 |
| 27360 |
| ------- |
(d) add the two resulting rows:
| 684 |
| × 47 |
| ------- |
| 4788 |
| +27360 |
| ------- |
| 32148 |
6. 786 × 77 =
(a) write the multiplication as follows:
(b) multiply 786 by 7:
(c) multiply 786 by 70:
| 786 |
| × 77 |
| ------- |
| 5502 |
| 55020 |
| ------- |
(d) add the two resulting rows:
| 786 |
| × 77 |
| ------- |
| 5502 |
| +55020 |
| ------- |
| 60522 |
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