Signed products and quotients, one to a line: -5 × 11, -11 × (-6), 144 ÷ (-12). Every division comes out exactly - the problems are built backwards from the divisor and the answer - so a student is never left with a remainder on top of the sign rule.
Nothing here is multiplied or divided by 1. A problem like 12 × (-1) tests whether a student knows the sign rule and nothing else, and a page of them looks like practice without being any.
Two signs the same gives a positive answer; two different signs gives a negative one. -11 × (-6) is 66, and -5 × 11 is -55. Division follows exactly the same rule.
Always. Each division problem is built from a divisor and an answer and then multiplied out, so the dividend is a multiple of the divisor. Remainders and signs at the same time is two lessons.
Because a dividend is a product: 144 ÷ (-12) has a two-digit answer of -12. The Largest number setting bounds the numbers a problem is built from, not the ones that come out of building it.
Seventh grade. It usually follows adding and subtracting integers, which is the harder of the two despite looking simpler.