Divide −72 by −4 . Then divide the quotient by −9 . What is the final quotient? (1 point)
To divide −72 by −4, we divide 72 by 4 and keep the sign negative because both numbers are negative:
−72 ÷ −4 = 18
Now, we divide the quotient of 18 by −9:
18 ÷ −9 = -2
So the final quotient is -2.
To divide −72 by −4, we divide the absolute values and then determine the sign of the quotient.
|-72| ÷ |-4| = 72 ÷ 4 = 18
Since both numbers being divided are negative, the quotient is positive.
Therefore, the first quotient is 18.
Next, we divide the first quotient (18) by -9. To do this, we divide the absolute values and then determine the sign of the quotient.
|18| ÷ |-9| = 18 ÷ 9 = 2
Since one number being divided is positive and the other is negative, the quotient is negative.
Therefore, the final quotient is -2.
To divide two numbers, remember to follow these steps:
Step 1: Divide the first number by the second number to find the quotient.
To divide -72 by -4:
The quotient is obtained by dividing -72 by -4. Dividing any negative number by another negative number gives a positive quotient.
So, -72 ÷ -4 = 18.
Step 2: Divide the obtained quotient from step 1 by the third number.
To divide 18 by -9:
The quotient is obtained by dividing 18 by -9.
18 ÷ -9 = -2.
Therefore, the final quotient is -2.