Is the Bible inerrant?

I have no problem accepting the Bible as the only rule of faith and conduct.
But when it is extended to all matters, it becomes a stretch, specially in matters of history and science.
I always fall back on the statement: God gave us a brain with the idea we are to use it.
Science deals with numbers. When it comes to a questions that can be proved with numbers, there was no need for God to give us the answers, we can figure them out with great precision for ourselves.
When it comes to matters of faith and morals, these questions can be debated till we are blue in the face and never come to a provable conclusion. There to me is where we must rely on a higher authority. There the Bible comes, so to speak, with a very fine pedigree. I have had much better results in my life by attempting to follow the Godly rules in the Bible than when I rely on my own instincts.