Consider the expression [3(42+32÷4−5)]. Which quotient must be found to simplify the expression?
The quotient that must be found to simplify the expression is 32 ÷ 4.
To simplify the expression [3(42+32÷4−5)], you need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
In this expression, there are parentheses, division, and subtraction. So, first, we should simplify what is inside the parentheses.
Inside the parentheses: 42 + 32 ÷ 4 - 5.
Next, we need to perform division.
32 ÷ 4 = 8.
Now we can substitute the division into the expression:
42 + 8 - 5.
Finally, we can perform addition and subtraction:
42 + 8 = 50,
50 - 5 = 45.
The quotient that needed to be found to simplify the expression is 32 ÷ 4, which equals 8.