On the way home, we stopped at the Astrodome for a tour. Is the complete predicate we stopped at the Astrodome for a tour and the verb stopped?

The entire sentence is the predicate, except for "we."

The prepositional phrase, "on the way home," tells where and modifies the verb "stopped.

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Yes, you are correct. The complete predicate in the sentence "On the way home, we stopped at the Astrodome for a tour" is "we stopped at the Astrodome for a tour." The verb in this sentence is "stopped."

To identify the complete predicate, you can look for the verb and any additional words or phrases that go along with it to provide more information. In this case, "stopped at the Astrodome for a tour" is a phrase that includes the verb "stopped" and the prepositional phrase "at the Astrodome for a tour." Together, they form the complete predicate of the sentence.