What is the quotient of 72÷(4)÷(−6)? Show your work.
To solve this problem, we will work from left to right following the order of operations (also known as PEMDAS or BODMAS).
First, we have 72 ÷ 4.
72 ÷ 4 = 18
Now, we have 18 ÷ (-6).
Dividing a positive number by a negative number will result in a negative quotient.
18 ÷ (-6) = -3
Therefore, the quotient of 72 ÷ (4) ÷ (-6) is -3.
To find the quotient of 72 ÷ (4) ÷ (−6), we'll follow the order of operations, which states that we must perform any calculations inside parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
First, let's simplify the expression inside the parentheses:
72 ÷ 4 ÷ (−6)
Now, we'll perform the division from left to right:
= (72 ÷ 4) ÷ (−6)
= 18 ÷ (−6)
Finally, we'll divide 18 by −6:
= -3
Therefore, the quotient of 72 ÷ (4) ÷ (−6) is -3.