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Question
solution 6 ode shows his work to answer a subtraction problem. tell how to find an equation to represent the problem ode starts with and its answer. ode’s work: 863 + 7 = 870 870 + 30 = 900 900 + 55 = 955
Step1: Reverse the addition steps
Ode used addition to find the result of a subtraction problem, so we reverse each step by subtracting the values he added, starting from the final total.
Step2: Identify the total and addends
The final total from Ode's work is 955, and he added 7, 30, and 55 to the original number 863.
Step3: Form the subtraction equation
The original subtraction problem is the final total minus the sum of the added values equals the starting number, or equivalently, the total minus the starting number equals the sum of the added values. First calculate the total added: $7 + 30 + 55 = 92$. Then the original subtraction problem is $955 - 863 = 92$, or to represent the problem Ode started with: $955 - x = 863$ where $x$ is the number being subtracted, and solving gives $x=92$.
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The original subtraction problem Ode started with is $\boldsymbol{955 - 92 = 863}$, and its answer is 863. Alternatively, the equation representing the problem can be written as $\boldsymbol{955 - 863 = 92}$, where 92 is the number being subtracted in the original problem.