To determine which expression is equivalent to \( 1,196 \), we need to evaluate each of the provided expressions.
A: \( 10 + 10 + 7 \cdot 28 \)
Calculating \( 7 \cdot 28 = 196 \).
So, \( 10 + 10 + 196 = 20 + 196 = 216 \).
B: \( 10 \cdot 10 \cdot 10 + 14 + 14 \)
Calculating \( 10 \cdot 10 \cdot 10 = 1000 \).
So, \( 1000 + 14 + 14 = 1000 + 28 = 1028 \).
C: \( 100 + 100 + 100 + 7 \cdot 28 \)
Calculating \( 7 \cdot 28 = 196 \).
So, \( 100 + 100 + 100 + 196 = 300 + 196 = 496 \).
D: \( 100 + 100 + 14 + 14 \)
Calculating \( 100 + 100 = 200 \) and \( 14 + 14 = 28 \).
So, \( 200 + 28 = 228 \).
Now we have evaluated all of the expressions:
A: \( 216 \)
B: \( 1028 \)
C: \( 496 \)
D: \( 228 \)
None of these are equal to \( 1,196 \). There might be an error in the expressions or their interpretation. Please check for the correctness of the expressions provided.