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Replace "?" with =, >, or < to make the statement true. 8.4 + (3 - 1) ? 4 5 + (4 - 2 - 3) ? 2

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Final answer:

Using the order of operations, 8.4 + (3 - 1) becomes 10.4 and 4 5 + (4 - 2 - 3) becomes 44. Looking for the correct comparison, the answer is 10.4 > 44, and 44 < 2.

Step-by-step explanation:

To solve this, we have to follow the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. First, simplify the equations within the parentheses. Thus, 8.4 + (3 - 1) becomes 8.4 + 2 and 4 5 + (4 - 2 - 3) becomes 4 5 + -1. Next, perform the addition or subtraction. Therefore, 8.4 + 2 equals 10.4 and 4 5 + -1 equals to 44. Now, replace '?' with <, =, or > to make the statement true. The correct statement would be 10.4 > 44 and 44 < 2.

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