I've wondered about the same thing. Specifically, I don't understand dating in relation to the human race and dinosaurs. My understanding (and I admit to possibly being wrong) is that the human race only dates back 10,000 or fewer years. Dinosaurs, on the other hand, date back millions of years, according to the majority of scientists.
Using conventional dating, humans go back much further than 10,000 years.
Homo sapiens fossils go back around 150,000-200,000 years and, if other hominid fossils (e.g. Neanderthals,
Homo erectus) are considered members of the human family they go back much, much further still.
Homo erectus goes back to at least 1.8 million years. Dinosaurs are found in sediments conventionally dated between about 230 and 65 million years old.
So if the same science is being used, and since young-earthers believe dinosaurs and humans lived together, how is there such a discrepancy in the dating?
I understand that you may think the science is flawed, but why would it be flawed on massively different scales?
The conventional dates are primarily derived from radiometric dating of rocks associated with the fossil-bearing sediments. There is definitely a trend, such that older sediments (i.e. those lower in the rock sequence) tend to give older radiometric dates and younger sediments (i.e. those higher in the rock sequence) tend to give younger radiometric dates. That's why they are assigned such different ages by conventional scientists. But creationists think that radiometric decay rates might not have been constant in the past and so, although the dates give a relative "order of events", they do not reflect the actual, absolute age of the rocks being dated. The different dates reflect the order of events that have taken place in biblical history (Creation Week, Pre-Flood, Early Flood, Late Flood, Post-Flood). You can read a bit more on how creationists interpret the dating trends in
this article. The article also links to two previous parts of the series.