One example is by not using the name of God in vain, it is by recognising the power of the name and its attributes. Also by not misleading people that Gods name is associated with evil deeds; for example slavery in history teaches that some countries desecrated other countries through perverse human acts and claimed its actions to Gods name and work.
To hallow our Father is to meditate upon the goodness of our Fathers name and attributes whether in our lives or others. For such adoration brings forth a heart of praise with gratitude for what God has done in our past, present and future. We could see this from another perspective that we as God's children have been given the privillege and honor to have access to Him through Christ in prayer. This continues to be a heart of gratitude that comes from recognosing the truth of his word.