To determine Jimmy's error, let's analyze the original equation and his application of the distributive property.
1. The equation given is \( 24 + 6 \).
2. Jimmy rewrote it as \( 6 (4 + 2) \).
Now, let's break down the components:
- On the left side, \( 24 + 6 = 30 \).
- On the right side, \( 6(4 + 2) = 6 \times 6 = 36 \).
Now, we see that \( 30 \) does not equal \( 36 \). So, we can explore the options:
A. **Jimmy did not write the common factor in the correct place.**
- This option doesn't apply because he did use a common factor, but it's not the correct one for simplification.
B. **Jimmy used 6 as the factor, which is not common to 24 and 6.**
- This option is correct, as 6 is not a common factor between the two terms 24 and 6. Instead, the common factor should have been 6, but it does not apply correctly to both terms.
C. **Jimmy did not apply the correct operations to the expressions.**
- This option is not applicable because he did apply multiplication correctly to the expression he formed.
D. **Jimmy wrote two expressions that are not equivalent.**
- This is true; \( 30 \neq 36 \), but the root of the error is in the choice of the factor.
The best answer would be **B: Jimmy used 6 as the factor, which is not common to 24 and 6.**