It’s trickier than it would seem at first glance. Other answers mention the print! macro but it’s not quite that simple. You’ll likely need to flush stdout, as it may not be written to the screen immediately. flush() is a trait that is part of std::io::Write so that needs to be in scope for it to work (this is a pretty easy early mistake).
use std::io;
use std::io::Write; // <--- bring flush() into scope
fn main() {
println!("I'm picking a number between 1 and 100...");
print!("Enter a number: ");
io::stdout().flush().unwrap();
let mut val = String::new();
io::stdin().read_line(&mut val)
.expect("Error getting guess");
println!("You entered {}", val);
}