Insert parentheses to make the equality a true statement:12+3*8−8÷4=7
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To insert parentheses to make the equality true, we need to determine the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) and follow it.
Let's break down the expression step by step:
12 + 3 * 8 - 8 ÷ 4
First, we address multiplication and division from left to right:
12 + 24 - 8 ÷ 4
Next, we perform division:
12 + 24 - 2
Now, we perform addition:
36 - 2
Finally, we perform subtraction:
34
So, the expression evaluates to 34. However, we want to make it equal to 7. In order to achieve this, we need to insert parentheses.
The possible way to insert parentheses is:
12 + (3 * 8) - (8 ÷ 4) = 7
This breaks down as:
12 + (24) - (2) = 7
Now, we have correctly inserted parentheses to make the equality true.
( 12 + 3 * 8 − 8 ) ÷ 4 = 7
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Proof:
( 12 + 3 * 8 − 8 ) ÷ 4 =
( 12 + 24 − 8 ) ÷ 4 =
( 36 − 8 ) ÷ 4 =
28 ÷ 4 = 7
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