Which number line models 27 - (-1)?
Check the final answer first, then review the worked steps.
Check the final answer first, then review the worked steps.
1. Understand the problem: The problem asks us to find the result of subtracting a negative number from a positive number and to identify which number line correctly models this operation. The expression is $27 - (-1)$.
2. Simplify the expression: Subtracting a negative number is equivalent to adding its positive counterpart. Therefore, $27 - (-1)$ can be rewritten as $27 + 1$.
3. Calculate the sum: Adding $27$ and $1$ gives us $28$.
4. Analyze the number lines: We need to find a number line that models adding $1$ to $27$. This means starting at $27$ and moving one unit to the right (in the positive direction).
- The first number line shows a jump from $26$ to $27$. This models adding $1$ to $26$, not $27 + 1$.
- The second number line shows a jump from $27$ to $28$. This models adding $1$ to $27$.
5. Identify the correct model: The second number line correctly models the operation $27 + 1$, which is equivalent to $27 - (-1)$.