Antione and Zachary each wrote an expression to represent the problem "sixteen more than a number divided by four" Antoine wrote the expression 16 + n ÷ 4. Zach wrote the expression (16 + n) ÷ 4. Tell which student id correct
16 more than a number divided by 4
16 + n/4
Antoine is correct.
Zach's would be the sum of 16 and n divided by 4.
To determine which student is correct, we need to understand the correct order of operations in math. The order of operations states that we should perform operations inside parentheses first, then exponentiation, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's evaluate Antoine's expression: 16 + n ÷ 4.
According to the order of operations, we should divide n by 4 first, and then add 16.
For example, if the number is 8, Antoine's expression would be: 16 + (8 ÷ 4) = 16 + 2 = 18.
Now let's evaluate Zach's expression: (16 + n) ÷ 4.
Following the order of operations, we first perform the addition of 16 and n inside the parentheses, and then divide the result by 4.
Using the same example, if the number is 8, Zach's expression would be: (16 + 8) ÷ 4 = 24 ÷ 4 = 6.
Therefore, Zach is correct with his expression: (16 + n) ÷ 4.