To determine which step Jillian made a mistake in while adding \(7 + (-2)\) using integer tiles, let's consider the basic concept.
When adding a positive number and a negative number, you essentially subtract the smaller absolute value from the larger absolute value, taking the sign of the larger absolute value. Here's the breakdown for \(7 + (-2)\):
- Identify the numbers: You have 7 (positive) and -2 (negative).
- Perform the operation: Since 7 is greater than 2, you subtract 2 from 7: \[ 7 - 2 = 5 \]
- Note the sign: Since 7 (the positive number) is the larger absolute value, the result is positive.
So, \(7 + (-2) = 5\).
If you provide the steps Jillian used, I can help indicate specifically in which step she made a mistake.