Subjects algebra

Area Difference D14B56

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1. **State the problem:** We need to find how much larger Wisconsin is compared to South Carolina by subtracting the area of South Carolina from Wisconsin's area. 2. **Write down the given areas:** - Wisconsin: $1.7 \times 10^{5}$ square kilometers - South Carolina: $8.29 \times 10^{4}$ square kilometers 3. **Express both areas with the same power of ten for easier subtraction:** - $8.29 \times 10^{4} = 0.829 \times 10^{5}$ 4. **Subtract the areas:** $$ 1.7 \times 10^{5} - 0.829 \times 10^{5} = (1.7 - 0.829) \times 10^{5} = 0.871 \times 10^{5} $$ 5. **Convert the result to proper scientific notation:** $$ 0.871 \times 10^{5} = 8.71 \times 10^{4} $$ 6. **Round to one significant figure as the problem suggests:** $$ 8.71 \times 10^{4} \approx 1 \times 10^{5} $$ **Final answer:** Wisconsin is approximately $1 \times 10^{5}$ square kilometers larger than South Carolina.