Compare and write \( <,> \) or \( = \). \( \begin{array}{ll}\text { (1) } 46 \mathrm{~cm} & \text { (3) } 7 \mathrm{~mm} \\ \text { (2) } 122 \mathrm{~mm} & \text { (4) } 8.2 \mathrm{~m}\end{array} \)
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To compare the measurements, we first need to convert them to the same unit. Let's convert everything to centimeters: 1. \( 46 \text{ cm} = 46 \text{ cm} \) (no conversion needed) 2. \( 122 \text{ mm} = 12.2 \text{ cm} \) (since 1 cm = 10 mm) 3. \( 7 \text{ mm} = 0.7 \text{ cm} \) 4. \( 8.2 \text{ m} = 820 \text{ cm} \) (since 1 m = 100 cm) Now we can compare the values: - \( 46 \text{ cm} > 12.2 \text{ cm} \) - \( 46 \text{ cm} > 0.7 \text{ cm} \) - \( 820 \text{ cm} > 46 \text{ cm} \) - \( 820 \text{ cm} > 12.2 \text{ cm} \) - \( 820 \text{ cm} > 0.7 \text{ cm} \) - \( 12.2 \text{ cm} > 0.7 \text{ cm} \) Putting it together: 1. \( 46 \text{ cm} > 7 \text{ mm} \) 2. \( 122 \text{ mm} > 7 \text{ mm} \) 3. \( 46 \text{ cm} > 122 \text{ mm} \) 4. \( 8.2 \text{ m} > 46 \text{ cm} \) So, the comparisons are: - \( 46 \text{ cm} > 7 \text{ mm} \) - \( 122 \text{ mm} > 7 \text{ mm} \) - \( 46 \text{ cm} > 122 \text{ mm} \) - \( 8.2 \text{ m} > 46 \text{ cm} \) Final output: 1. \( (1) > (3) \) 2. \( (2) > (3) \) 3. \( (1) > (2) \) 4. \( (4) > (1) \)