Add parentheses to make this true: 1 + 7 • 2 ÷ 42 ÷ 6 = 15
To add parentheses to make the equation true, we need to determine the correct order of operations. The order of operations is commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's start by rewriting the equation with parentheses to indicate the order of operations:
1 + (7 • 2) ÷ (42 ÷ 6) = 15
Now, let's break down the equation step by step, following the order of operations:
1. Within the parentheses, calculate 7 • 2 = 14.
2. Next, solve the expression inside the other set of parentheses. 42 ÷ 6 = 7.
3. Now, divide 14 by 7, which gives us 2.
4. Finally, add 1 to 2, resulting in 3.
Therefore, the equation with the appropriate parentheses inserted is:
1 + (7 • 2 ÷ (42 ÷ 6)) = 3
Please note that this equation is not equal to 15. If you would like to make the equation equal to 15, we may have to change the numbers or operators involved.