Scientific Notation Do you know this number? 300 000 000 m/sec It’s the speed of light What about this number? 0.000 000 000 753 kg? It’s the mass of a dust particle

These number are too big and take too long to write, so scientists came up with a shorter method called SCIENTIFIC NOTATION Based on powers of the base number 10 Ex. 123 000 000 000 in scientific notation is: 1.23 X 1011 The first number 1.23 is the coefficient (it must be greater than or equal to 1, and less than 10 The second number is the base. It is always 10. The third number is the exponent or power of ten.

How to write a number in Scientific Notation Ex. 123 000 000 000 Place a decimal after the first digit and drop the zeros 1.23  the coefficient To find the exponent count the number of places from the decimal to the end of the number. In 123 000 000 000 there are 11 places So the exponent is 11 123 000 000 000 in scientific notation is 1.23 X 1011

It is similar for small numbers The only difference is numbers less than 1 will have a negative exponent Ex. 0.000001 sec 1.0 is the coefficient There are 6 places from the decimal so the exponent is 6 1.0 X 10-6

Section A and B on the practice sheet Let’s Try Page 587 Questions 1 and 2 Section A and B on the practice sheet

Using your Calculator Complete section C on the practice sheet

Measurement Measurement is the process of estimating the magnitude of some attribute of an object, such as its length, weight, or depth relative to some standard (unit of measurement), such as a meter or a kilogram. The term is also used to indicate the number that results from that process

The act of measuring usually involves using a measuring instrument, such as a ruler, weighing scale, thermometer, speedometer, or voltmeter, which is calibrated to compare the measured attribute to a measurement unit.

Measurements always have errors and therefore uncertainties

Accuracy vs. Precision BRAINSTORM Accuracy: describes the nearness of a measurement to the standard or true value Precision: the amount of information that the instrument can provide

Precise or Accurate? The TV weather forecaster says that it will be between 40 and 50 degrees today. The actual reading turns out to be 43. The forecast was accurate, but not very precise. For tomorrow, the forecast is 52.47 degrees at 4 PM. It turns out to be 39.14 degrees. This forecast was very precise, but completely inaccurate.

Precise or Accurate Ms. Borden’s mass is 550.25 kg !! It is precise but not at all accurate Unless of course she looks like……

Now You Try In groups of 4 take 5 minutes to come up with your own situation to try and stump the class!