The Dancing with the Stars contestant gets candid about growing up with Bruce and Demi

By Jennifer Garcia
Updated April 15, 2015 07:05 AM
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Chris Craymer

When it comes to what people think they know about Rumer Willis, she’s the first to say it’s usually pretty far from the truth.

“People have such an immediate judgment of me because I have tattoos or because my hair is sometimes crazy,” she explains. “[They think] I’m this reckless child of famous parents.”

Growing up in the spotlight as the eldest daughter of Bruce Willis, 60, and Demi Moore, 52, the actress and singer is now competing on ABC’s Dancing with the Stars and admits her happy childhood may have been unconventional and at times “weird,” but something that made her who she is today.

“Just because I was their kid, I started getting attention before my own work got recognition,” she tells PEOPLE.

Still, she admits, having two famous parents had its pros and cons. “I’ve traveled to some really incredible places, but my basic math skills are horrendous,” she says, laughing. “It’s an interesting trade-off.”

Growing up on film sets and primarily in rural Hailey, Idaho, Willis, 26, grew very close to her two sisters, Scout, now 23, and Tallulah, 21, but struggled to find friends her own age.

“In high school I had a much easier time interacting with adults than with my peers,” she explains. “So that [period] was a weird transition.”

Years later, Willis has learned a lot about herself, giving her the confidence to shine with partner Valentin Chmerkovskiy on DWTS.

“For the first time in my life I’ve gotten to a place where I’m really stoked about just taking care of myself and figuring out what I want.”

For more from PEOPLE’s candid interview with Willis, pick up the latest issue of PEOPLE, on newsstands Friday