Question

Which quotient will be negative?

24 ÷ 6
-35 ÷ 7
-54 ÷ (-6)
3 ÷ (-1)

Answer 1

The quotients that will be negative are from dividing -35 by 7 and dividing 3 by -1, because in both cases the numbers have opposite signs.

Step-by-step explanation:

To determine which quotient will be negative, we need to consider the signs of the numbers involved in the division. The rule is simple:

• If you divide two numbers with the same sign, the quotient is positive.
• If you divide two numbers with opposite signs, the quotient is negative.

Now, let's apply this rule to the given options:

1. 24 ÷ 6 - Both numbers are positive, so the quotient is positive.
2. -35 ÷ 7 - The numerator is negative and the denominator is positive, hence the quotient is negative.
3. -54 ÷ (-6) - Both numbers are negative, so the quotient is positive.
4. 3 ÷ (-1) - The numerator is positive and the denominator is negative, hence the quotient is negative.

The quotients that will be negative are from -35 ÷ 7 and 3 ÷ (-1).

Answer 2

24 / 6
= 4

-35 / 7
= -5 <------- Negative result

-54 / -6
= 9

3 / -1
= -3 <------- Negative result