What is the quotient of 72÷(4)÷(−6)?
First, let's evaluate 72 ÷ 4 which is 18.
18 ÷ (-6) is -3.
Therefore, the quotient of 72 ÷ (4) ÷ (-6) is -3. Answer: \boxed{-3}.
Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses
−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis
1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis
−111 ÷ 37
negative 111 divided by 37
657 ÷ (−23)
To find the quotient of 72 ÷ (4) ÷ (−6), we need to follow the order of operations, which states that we should perform any calculations inside parentheses first, then division from left to right.
Step 1: Perform the calculation inside the parentheses first:
72 ÷ (4) ÷ (−6) = 72 ÷ 4 ÷ (−6)
Step 2: Perform the division from left to right:
72 ÷ 4 ÷ (−6) = (18) ÷ (−6)
Step 3: Divide 18 by -6:
(18) ÷ (−6) = -3
Therefore, the quotient of 72 ÷ (4) ÷ (−6) is -3.
To find the quotient of 72 ÷ (4) ÷ (−6), we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, and Addition and Subtraction - from left to right).
Step 1: Evaluate inside parentheses
There are no parentheses in this expression, so we move to the next step.
Step 2: Perform division from left to right
Divide 72 by 4 to get 18: 72 ÷ 4 = 18.
Now, divide 18 by -6 to get -3: 18 ÷ (-6) = -3.
So the quotient of 72 ÷ (4) ÷ (−6) is -3.