Using the rules for dividing signed numbers , what is the quotient when you divide 56 divided by (-4) divided by (-2)?
28
-7
-28
7
To divide signed numbers, you need to follow the rule that states:
"When dividing signed numbers, keep the sign of the first number and change the division sign to multiplication."
So, 56 ÷ (-4) ÷ (-2) becomes 56 × (-1/4) × (-1/2).
When multiplying fractions, you multiply the numerators (top numbers) and the denominators (bottom numbers).
56 × (-1/4) × (-1/2) = (-56/4) × (-1/2) = (-14) × (-1/2) = 14/2 = 7.
Therefore, the quotient is 7.
To divide 56 by (-4), we first divide their absolute values, which is 14. The signs of the numbers being divided are different, so the quotient will be negative. Thus, 56 divided by (-4) is -14.
Next, we divide -14 by (-2). Dividing two negative numbers will give a positive quotient. So, -14 divided by (-2) is 7.
Therefore, the quotient when you divide 56 by (-4) by (-2) is 7.