Question

Complete these sentences to describe the rules of dividing signed numbers.

The quotient of two integers with same sign is always
The quotient of two integers with different signs is always

Answer 1

1) Positive (+)

2) Negative (-)

Explanation:

1) Positive

→ (+) ÷ (+) = (+)

→ (-) ÷ (-) = (+)

Hence, it is proved.

2) Negative

→ (+) ÷ (-) = (-)

→ (-) ÷ (+) = (-)

Hence, it is proved.

Answer 2

• 1) Positive,
• 2) Negative

Explanation:

The quotient of two integers with same sign is always positive, because:

• Positive / positive = positive and
• Negative / negative = positive

The quotient of two integers with different signs is always negative, because:

• Positive / negative = negative and
• Negative / positive = negative