Yes

you do need a jacket based on the weather in Nuuk, Greenland 1 second ago

Why? Because too cold for just a hoodie, too warm for a parka!
34°F1°C & Cloudy

Wind is 7 mph11 km/h from the North, gusting to 11 mph18 km/h
June 10
12am33°F1°C7 mph11 km/h NorthCloudy
1am33°F1°C7 mph11 km/h NorthCloudy
2am33°F0°C7 mph11 km/h NorthCloudy
3am33°F1°C6 mph10 km/h NorthCloudy
4am33°F1°C7 mph11 km/h NorthHaze
5am34°F1°C7 mph11 km/h NorthHaze
6am34°F1°C6 mph10 km/h NorthMostly Cloudy
7am35°F2°C5 mph9 km/h NorthwestMostly Cloudy
8am36°F2°C5 mph8 km/h NorthwestMostly Cloudy
9am37°F3°C5 mph9 km/h NorthwestMostly Cloudy
10am37°F3°C6 mph9 km/h NorthwestMostly Cloudy
11am38°F3°C6 mph10 km/h WestMostly Cloudy
DateLowHighWindDayNight
June 933°F0°C38°F3°C6 mph10 km/h from NorthwestMostly CloudyCloudy
June 1033°F0°C40°F5°C3 mph4 km/h from SoutheastCloudyDrizzle
June 1136°F2°C43°F6°C7 mph11 km/h from EastRainRain
June 1239°F4°C42°F6°C15 mph24 km/h from SouthRainRain
June 1338°F4°C43°F6°C11 mph17 km/h from SouthDrizzleDrizzle
June 1436°F2°C40°F5°C5 mph8 km/h from SouthwestDrizzleCloudy
June 1534°F1°C41°F5°C8 mph13 km/h from SouthMostly CloudyMostly Cloudy

Yes

Low of 33°F1°C, High of 40°F5°C
Wind: 3 mph4 km/h
Precipitation: 21% rain

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