Same signs: the product is positive. Different signs: the product is negative. (β6) Γ (β4) = 24, but (β6) Γ 4 = β24. Multiply the sizes first, then pick the sign.
Worked example
6 Γ (β4) = ?
Answer:β24
Different signs, so the product is negative. Multiply the sizes: 6 Γ 4 = 24. Answer: β24.
For grown-ups: Multiply/divide integers and rationals; sign rules. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.
CCSS 7.NS.A.2
What this practises, for teachers
Practices multiply/divide integers and rationals; sign rules (7.NS.A.2). A printable sheet with its answer key, worked answers on the page, no accounts.