Overview: 4 questions will be solved this time.Among them
☆3 arithmetic calculations
☆1 integer calculations
[1/4 Formula]
Work: Calculate the value of equation 9+99+999+9999+99999 .
Question type: Mathematical calculation
Solution:
9+99+999+9999+99999
=108+999+9999+99999
=1107+9999+99999
=11106+99999
=111105 Answer:9+99+999+9999+99999=111105[2/4 Formula]
Work: Calculate the value of equation 12+23+34+45+56+67+78+89+91 .
Question type: Mathematical calculation
Solution:
12+23+34+45+56+67+78+89+91
=35+34+45+56+67+78+89+91
=69+45+56+67+78+89+91
=114+56+67+78+89+91
=170+67+78+89+91
=237+78+89+91
=315+89+91
=404+91
=495 Answer:12+23+34+45+56+67+78+89+91=495[3/4 Formula]
Work: Calculate the value of equation 98+197+2996+39995+499994+5999993+69999992+799999991 .
Question type: Mathematical calculation
Solution:
98+197+2996+39995+499994+5999993+69999992+799999991
=295+2996+39995+499994+5999993+69999992+799999991
=3291+39995+499994+5999993+69999992+799999991
=43286+499994+5999993+69999992+799999991
=543280+5999993+69999992+799999991
=6543273+69999992+799999991
=76543265+799999991
=876543256 Answer:98+197+2996+39995+499994+5999993+69999992+799999991=876543256[4/4 Integer column vertical calculation]
Question type: Integer multiplication
Original question: 8*12345679011 Solution:
8*12345679011 =
98765432088 Column vertical calculation:
| | | | | | | | | | | | | | | | | 8 |
| ✖ | | | | | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 9 | 0 | 1 | 1 |
|
| | | | | | | | | | | | | | | | | 8 |
| | | | | | | | | | | | | | | | 8 | |
| | | | | | | | | | | | | | | 0 | | |
| | | | | | | | | | | | | 7 | 2 | | | |
| | | | | | | | | | | | 5 | 6 | | | | |
| | | | | | | | | | | 4 | 8 | | | | | |
| | | | | | | | | | 4 | 0 | | | | | | |
| | | | | | | | | 3 | 2 | | | | | | | |
| | | | | | | | 2 | 4 | | | | | | | | |
| | | | | | | 1 | 6 | | | | | | | | | |
| | | | | | | 8 | | | | | | | | | | |
|
| | | | | | | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 0 | 8 | 8 |
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