Overview: 3 questions will be solved this time.Among them
☆1 arithmetic calculations
☆2 integer calculations
[1/3 Integer column vertical calculation]
Question type: Integer division
Original question: 111111111÷9 Solution:
111111111÷9 =
12345679 Column vertical calculation:
| | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 9 |
9 | 丿 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| | | 9 |
| | |
|
| | | 2 | 1 |
| | | 1 | 8 |
|
| | |
|
| | | | 3 | 1 |
| | | | 2 | 7 |
|
| | | |
|
| | | | | 4 | 1 |
| | | | | 3 | 6 |
|
| | | | |
|
| | | | | | 5 | 1 |
| | | | | | 4 | 5 |
|
| | | | | |
|
| | | | | | | 6 | 1 |
| | | | | | | 5 | 4 |
|
| | | | | | |
|
| | | | | | | | 7 | 1 |
| | | | | | | | 6 | 3 |
|
| | | | | | | |
|
| | | | | | | | | 8 | 1 |
| | | | | | | | | 8 | 1 |
|
| | | | | | | | |
|
| | | | | | | | | | 0 |
[2/3 Integer column vertical calculation]
Question type: Integer multiplication
Original question: 266666666×666666667 Solution:
266666666×666666667 =
177777777422222222 Column vertical calculation:
| | | | | | | | | | | | | | 2 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
✖ | | | | | | | | | | | | | | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 7 |
|
| | | | | | | | | | | | | 1 | 8 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 2 |
| | | | | | | | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | |
| | | | | | | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | |
| | | | | | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | | |
| | | | | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | | | |
| | | | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | | | | |
| | | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | | | | | |
| | | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | | | | | | |
| | | | | 1 | 5 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 6 | | | | | | | | |
|
| | | | | 1 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
[3/3 Formula]
Work: Calculate the value of equation 1×2+2×3+3×4+4×5+5×6+6×7+7×8+8×9+9×10 .
Question type: Mathematical calculation
Solution:
1×2+2×3+3×4+4×5+5×6+6×7+7×8+8×9+9×10
=2+2×3+3×4+4×5+5×6+6×7+7×8+8×9+9×10
=2+6+3×4+4×5+5×6+6×7+7×8+8×9+9×10
=2+6+12+4×5+5×6+6×7+7×8+8×9+9×10
=2+6+12+20+5×6+6×7+7×8+8×9+9×10
=2+6+12+20+30+6×7+7×8+8×9+9×10
=2+6+12+20+30+42+7×8+8×9+9×10
=2+6+12+20+30+42+56+8×9+9×10
=2+6+12+20+30+42+56+72+9×10
=2+6+12+20+30+42+56+72+90
=8+12+20+30+42+56+72+90
=20+20+30+42+56+72+90
=40+30+42+56+72+90
=70+42+56+72+90
=112+56+72+90
=168+72+90
=240+90
=330 Answer:1×2+2×3+3×4+4×5+5×6+6×7+7×8+8×9+9×10=330Your problem has not been solved here? Please go to the Hot Problems section!