A back-of-the-envelope calculation is a quick and informal mathematical computation. This type of calculation is used as an estimate to arrive at a ballpark figure when needed quickly.
If someone goes out on a limb, they do something they strongly believe in even though it is risky or extreme, and is likely to fail or be criticized by other.
He's going out on a limb in criticizing her own party leadership.
To direct all your efforts into the particular task you are involved in.
I'm going to get my head down and try and finish this report before I go home today.
“Get the axe” generally refers to being fired or experiencing an abrupt end to something.
The underperforming player is likely to get the axe from the team.
Being edgy means looking at everything a little differently, doing your own thing, and being okay with the fact that it may not fit the world's idea of what you should be doing with your life.
Looking at a different or opposite aspect, possibility, or result (associated with something).
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In 2024, the number of babies born in South Korea increased for the first time in nine years. The change is welcome news for a country that is dealing with serious population problems.