Without faith in Jesus Christ we will perish (John 3:16).
With faith, we are able to speak to our troubles and cast them away (Matthew 21:21).
In Luke 7:50, Jesus said to a sinful woman, "Your faith has saved you." That wasn't the only time Jesus said that faith has the ability to save. In Mark 10:52, He said to blind Bartimaeus, "Go your way; your faith has made you well", and immediately he received his sight.
Faith can act as a shield that protects us from all the flying weapons and attacks of the enemy (Ephesians 6:16). A Christian without faith is like "a wave of the sea driven with the wind and tossed" (James 1:6).
God wants us to pray to Him when we are in trouble, and when we are happy, we should sing songs of praise to Him. Prayer offered in faith can make a sick person well (James 5:13-20). In fact, nothing will be impossible to us as long as we have faith (Matthew 17:20).
If we are active in sharing our faith, we will have a full understanding of every good thing we have in Christ Jesus (Philemon 1:6). Through faith, we are protected by the power of God (1 Peter 1:5).
With this, it is clear that prayer without faith is in fact ineffective, powerless, purposeless, and baseless.
How can we ask God for what we need without having faith that He is able to give us what we ask for?