(bash) how can i pass a float varibale to if conditional

I am trying to pass this composed variable with a float value:

j=1
DA1=178.2929838483883283
if (( $(bc <<< "$((DA$j)) > 150") )) && (( $(bc <<< "$((DA$j)) < -150") ))
then
    D="T"
fi

But I get:

178.2929838483883283: syntax error: invalid arithmetic operator (error token is ".2929838483883283")