Question

1. Make and test a conjecture about the product of two even numbers.

2. Make and test a conjecture about the product of two even numbers.

3. Make and test a conjecture about the quotient of two integers with a different sign.

(With Example)

Answer 1

Conjecture: The product of two even numbers will always be even.

Example: 2 x 4 = 8 (even)

Test: 4 x 6 = 24 (even)

Conjecture: The product of two odd numbers will always be odd.

Example: 3 x 5 = 15 (odd)

Test: 7 x 9 = 63 (odd)

Conjecture: The quotient of two integers with a different sign will always be negative.

Example: -6 / 2 = -3 (negative)

Test: -8 / 4 = -2 (negative)

Explanation: