Which number line models -22 - (-1)? Subtract. -22 - (-1) =

Check the final answer first, then review the worked steps.

Problem

Which number line models -22 - (-1)? Subtract. -22 - (-1) =

Answer

\(-21\)

Step-by-step solution

  1. Understand the problem: The problem asks us to find the result of subtracting a negative number from another negative number, and to identify which number line correctly models this operation. The expression is $-22 - (-1)$.
  1. Simplify the expression: Subtracting a negative number is equivalent to adding its positive counterpart. Therefore, $-22 - (-1)$ can be rewritten as $-22 + 1$.
  1. Perform the addition: Adding $1$ to $-22$ means moving one unit to the right on the number line from $-22$. Starting at $-22$ and moving one unit to the right brings us to $-21$.

4. Analyze the number lines: We need to find the number line that models this operation. The operation is equivalent to starting at $-22$ and adding $1$. This means we should see an arrow starting at $-22$ and moving one unit to the right (towards positive numbers).
- The first number line shows an arrow starting at $-23$ and moving one unit to the right, ending at $-22$. This models $-23 - (-1)$ or $-23 + 1$.
- The second number line shows an arrow starting at $-22$ and moving one unit to the right, ending at $-21$. This models $-22 - (-1)$ or $-22 + 1$.

  1. Identify the correct number line: The second number line correctly models the expression $-22 - (-1)$ because it starts at $-22$ and shows a movement of $+1$.