1. The problem is to determine if the circled measurements are correctly identified as smaller or larger compared to the other given measurement in each pair. 2. We use the metric prefixes and their factors to convert all measurements to the same base unit for comparison. 3. For example, in 1a) 80 nm vs 70 µm: - 80 nm = 80 × 10^{-9} units - 70 µm = 70 × 10^{-6} units Since $80 \times 10^{-9} = 8.0 \times 10^{-8}$ and $70 \times 10^{-6} = 7.0 \times 10^{-5}$, 80 nm is smaller, so 70 µm circled as smaller is incorrect. 4. Checking each: - 1a) 70 µm circled smaller is incorrect; 80 nm is smaller. - 1b) 0.5 TB vs 17 GB: 0.5 TB = 0.5 × 10^{12} units = 5 × 10^{11} 17 GB = 17 × 10^{9} units = 1.7 × 10^{10} 17 GB is smaller, so 17 GB circled smaller is correct. - 1c) 4.2 pg vs 430 ng: 4.2 pg = 4.2 × 10^{-12} 430 ng = 430 × 10^{-9} = 4.3 × 10^{-7} 4.2 pg is smaller, so 4.2 pg circled smaller is correct. - 1d) 68 kg vs 2,000 mg: 68 kg = 68 × 10^{3} g = 68,000 g 2,000 mg = 2,000 × 10^{-3} g = 2 g 2,000 mg is smaller, so 68 kg circled smaller is incorrect. - 1e) 4 Mg vs 0.5 Gg: 4 Mg = 4 × 10^{6} g 0.5 Gg = 0.5 × 10^{9} g = 5 × 10^{8} g 4 Mg is smaller, so 4 Mg circled smaller is correct. - 1f) 18 pg vs 180 mg: 18 pg = 18 × 10^{-12} g 180 mg = 180 × 10^{-3} g = 0.18 g 18 pg is smaller, so 18 pg circled smaller is correct. 5. For the second set, circle the larger measurement: - 2a) 150 µg vs 4 mg: 150 µg = 150 × 10^{-6} g = 0.00015 g 4 mg = 4 × 10^{-3} g = 0.004 g 4 mg is larger, so 150 µg circled larger is incorrect. - 2b) 0.2 Tm vs 150 Gm: 0.2 Tm = 0.2 × 10^{12} m = 2 × 10^{11} m 150 Gm = 150 × 10^{9} m = 1.5 × 10^{11} m 0.2 Tm is larger, so 150 Gm circled larger is incorrect. - 2c) 150 pm vs 20 nm: 150 pm = 150 × 10^{-12} m = 1.5 × 10^{-10} m 20 nm = 20 × 10^{-9} m = 2 × 10^{-8} m 20 nm is larger, so 150 pm circled larger is incorrect. - 2d) 4,000 mg vs 2 kg: 4,000 mg = 4,000 × 10^{-3} g = 4 g 2 kg = 2 × 10^{3} g = 2,000 g 2 kg is larger, so 4,000 mg circled larger is incorrect. - 2e) 850 ng vs 5 mg: 850 ng = 850 × 10^{-9} g = 8.5 × 10^{-7} g 5 mg = 5 × 10^{-3} g = 0.005 g 5 mg is larger, so 850 ng circled larger is incorrect. - 2f) 4 MB vs 250 kB: 4 MB = 4 × 10^{6} bytes 250 kB = 250 × 10^{3} bytes = 2.5 × 10^{5} bytes 4 MB is larger, so 250 kB circled larger is incorrect. Final conclusion: Many circled answers are incorrect based on metric conversions.