What is the complete predicate in this sentence---My best friend moved into a two story house.

What is the simple predicate in this sentence---Steve's home and Anna's home are both in the same building.

The complete predicate is the verb plus the words that complete the verb's meaning.

I've underlined the complete predicate in your first sentence.

My best friend moved into a two story house.

The simple predicate is the verb or verbs.

What do you think is the verb in your second sentence? Hint: if you're not sure, you can look up the words in a dictionary because the definitions also give the part of speech.
http://dictionary.reference.com/

Steve`s home and Ann`s home are both in the same building.-predicate

For the sentence "My best friend moved into a two-story house," the complete predicate is "moved into a two-story house." It includes the verb "moved" and the prepositional phrase "into a two-story house."

For the sentence "Steve's home and Anna's home are both in the same building," the simple predicate is "are." It is the main verb that expresses the action or state of being in the sentence.

To identify the complete predicate in a sentence, you need to find the verb or verb phrase along with any objects or modifiers that complete the action.

In the sentence "My best friend moved into a two-story house," the verb is "moved," and the phrase "into a two-story house" provides additional information about the action. Therefore, the complete predicate is "moved into a two-story house."

To identify the simple predicate in a sentence, you need to find the main verb that expresses the action or state of being.

In the sentence "Steve's home and Anna's home are both in the same building," the main verb is "are." Therefore, the simple predicate is "are."