How do the Ten Commandments show God's love and care for us?

Answer 1

The Ten Commandments are the preface to the Messianic age. We may never fully feel or understand G-d's love for us until the Messianic age. We were given the Garden of Eden but we ruined it, another instance is when G-d flooded the Earth because He saw that humanity was corrupt, afterwards He swore to never do that again. Now we have to work towards the Messianic age hence "you don't know what you got till it's gone". One day there will be peace.

Answer 2

The Ten Commandments are a pillar of Western civilization. They have improved the conduct of billions of people; but because of His covenant with them (Exodus ch.24), God specifically honored the Israelites with being the nation which would be the ones to receive and treasure the Ten Commandments (Exodus ch.19-20), which would gradually be absorbed by humanity in general. These Commandments are so important that God revealed His presence to the entire Israelite nation when He spoke these Commands. And He inscribed them in stone (Deuteronomy ch.9); unlike the rest of the Torah, which He had Moses write (Deuteronomy 31:24).

What would Western society look like without these Commandments?

1) "I am the Lord your God..." has shaped the Western beliefs about God. Pantheism and polytheism, which were excuses for immorality, are out.
2) The 7-day week, including a day of rest for everyone, is thanks to the Fourth Commandment.
3) Without the Fifth Commandment, society might still permit abandoning our aged parents to die.

4) Without the Sixth Commandment, we might still be killing our own children, as was done in Classical European nations until Judaism and its daughter-religions put a stop to it. The above are just a few examples.

See also:

How has the Hebrew Bible influenced Western society?

What is the history of the Hebrew Bible?