Final answer:
Natalie's mistake occurred in Line 2 of her arithmetic problem, where she incorrectly applied the order of operations, specifically the rules for division.
Step-by-step explanation:
The mistake Natalie made in her arithmetic problem is in Line 2. When following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), division and multiplication should be handled before addition and subtraction and are processed from left to right.
In Line 1, 4 ÷ 2 should be calculated first, giving us 2, and then we proceed with subtraction and addition. Therefore, it should go from 4 ÷ 2 − 1 + 5 to 2 − 1 + 5. Line 2 incorrectly shows 4 ÷ 1, which suggests an incorrect order of operations.