You should wash your hands
after cutting carrots, before cutting tomatoes
after putting clean dishes away
before putting on disposable gloves
before going to the bathroom

You should wash your hands Before putting on disposable gloves. Washing our hands properly can help prevent the spread of the germs (like bacteria and viruses) that can cause diseases such as: gastrointestinal infections, Salmonella, and respiratory infections such as influenza. 

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