Subjects algebra

Expression Equivalence F0242C

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1. **State the problem:** We need to find which expression among F, G, H, and J is equivalent to $1000 + 196$. 2. **Calculate the sum:** $$1000 + 196 = 1196$$ 3. **Evaluate each expression:** - F: $10^2 + 7 \cdot 28 = 100 + 196 = 296$ - G: $10^3 + 14^2 = 1000 + 196 = 1196$ - H: $100^{-3} + 7 \cdot 28 = \frac{1}{100^3} + 196 = 0.000001 + 196 \approx 196.000001$ - J: $100^{-2} + 14^2 = \frac{1}{100^2} + 196 = 0.0001 + 196 = 196.0001$ 4. **Compare results:** Only expression G equals $1196$, which matches $1000 + 196$. **Final answer:** Expression G is equivalent to $1000 + 196$.