Question

INDUCTIVE REASONING Complete the table. Then write general rules for multiplying 1.two integers with the same sign and 2.two integers with different signs.

Answer 1

Hint:

Product of two integers with different signs is negative.

Product of two integers with the same sign is positive.

Step 1: $3·2=6$

$\because$Product of two integers with the same sign is positive

Step 2: $3·(-2)=-6$

$\because$Product of two integers with different signs is negative.

Step 3: $-3·2=-6$

$\because$Product of two integers with different signs is negative.

Step 4: $-3·(-2)=+6$

$\because$Product of two integers with the same sign is positive

Step 5: $6·3=18$

$\because$Product of two integers with the same sign is positive

Step 6: $2·(-5)=-10$

$\because$Product of two integers with different signs is negative.

Step 7: $2·(-5)=-10$

$\because$Product of two integers with different signs is negative.

Step 8: $-5·(-3)=+15$

$\because$Product of two integers with the same sign is positive

Hence Complete table