Which addition sentence represents the model -5+1?

Which addition sentence represents the model -5+1?

• A. −5+1=−4
• B. −3+(−1)=−4
• C. 5+(−1)=4
• D. 6+(−2)=4

Answer: (A)

The addition sentence that accurately represents the model \(-5 + 1\) simplifies to \(-4\). This is achieved by interpreting the operation as starting at \(-5\) on the number line and moving one unit to the right, which effectively increases the value by 1. In mathematical terms, adding a positive number (in this case, 1) to a negative number results in a number that is less negative, moving us closer to zero. Since \(-5 + 1\) equals \(-4\), the corresponding addition sentence is clearly illustrated as \(-5 + 1 = -4\). This direct representation allows for a straightforward understanding of how addition involving negative numbers operates within the number system. The correct answer encompasses these foundational principles of arithmetic with negative integers.

The addition sentence that accurately represents the model (-5 + 1) simplifies to (-4). This is achieved by interpreting the operation as starting at (-5) on the number line and moving one unit to the right, which effectively increases the value by 1. In mathematical terms, adding a positive number (in this case, 1) to a negative number results in a number that is less negative, moving us closer to zero.

Since (-5 + 1) equals (-4), the corresponding addition sentence is clearly illustrated as (-5 + 1 = -4). This direct representation allows for a straightforward understanding of how addition involving negative numbers operates within the number system. The correct answer encompasses these foundational principles of arithmetic with negative integers.