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An exact number is 2, or 4, or 5345. Something that we have counted, or that we know exactly.
We have two apples. There are four people in the room.
A measurement, however, always has some degree of uncertainty. We can say that the line is 2 inches long. However, if we used a plastic ruler, the line may actually be 1.98 inches long, or 2.03 inches long, and we wouldn't be able to tell the difference with our instrument (the ruler).
If we used a micrometer to measure the line, and the micrometer told us that the line was 4.35 cm long, then we would have to determine the precision (how correctly we can be certain of the results from the micrometer). The micrometer may be precise to within 5/1000 cm, or .005 cm. If that's true, then we're pretty sure that the line is between 4.345 cm and 4.355 cm, but we cannot be sure where in that range the actual length of the line falls.
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What number lies between one third and one fifth?
A whole lot of numbers! The simplest example would probably be 0.3. To be exact, there exist uncountably infinitely many real numbers between any 2 distinct real numbers.
Why is precise measurements important?
It is important because PRECISE means exact, and exact measurements are important because it tells you the actual measurement of an object, other than to tell you an estimate, not knowing the exact measurement of that object
What are advantages and disadvantages of representing a relationship between variables in a table?
advantages: its easier to figure out or look at exact numbers disadvantages: its harder to see the change between intervals
Is the phythagorean theorem the exact measurement?
Yes, the Pythagorean theorem gives the exact measurements always. It can be backed up by proofs and sin, cosine, etc.
What number is between 0.1 and 0.24?
0.125 is one of many numbers that are between 0.1 (also called 0.10) and 0.24. If you are looking for the number in the exact center between the two (the average), then it would be 0.17.
