Observe the following formula 12 + 21 = 33 = 11 × (1 + 2) 23 + 32 = 55 = 11 × (2 + 3) 59 + 95 = 154 = 11 × (5 + 9) Write a similar equation for two digit numbers with ten digits A and one digit B. according to this explanation, can you add the sum of any two digit number and the original number after transposing the position of any two digit number and ten digit number to the original number and divide it by 11? If you think a and B are rational numbers (B ≠ 0), is the following formula true? What rules can be summed up? ①-a/b=a/-b=- （a/b） ②-a/-b=a/b 12+21=33=11×(1+2) 23+32=55=11×（2+3） 59 + 95 = 154 = 11 × (5 + 9)

Observe the following formula 12 + 21 = 33 = 11 × (1 + 2) 23 + 32 = 55 = 11 × (2 + 3) 59 + 95 = 154 = 11 × (5 + 9) Write a similar equation for two digit numbers with ten digits A and one digit B. according to this explanation, can you add the sum of any two digit number and the original number after transposing the position of any two digit number and ten digit number to the original number and divide it by 11? If you think a and B are rational numbers (B ≠ 0), is the following formula true? What rules can be summed up? ①-a/b=a/-b=- （a/b） ②-a/-b=a/b 12+21=33=11×(1+2) 23+32=55=11×（2+3） 59 + 95 = 154 = 11 × (5 + 9)

Yes. One is 10A + B, and the other is 10B + A, which adds up to 11 (a + b), which is a multiple of 11. The second question is both right, which means that the sign can be mentioned between brackets and fractional line, that is, the sign and operation order have no effect on the value