Post on 12-Jan-2016
Bell Work 3/23/15
Define the following:
–Accuracy–Precision –Scientific Notation
Scientific Notation
Algebra 1Chapter 7Section 2
Objective: Students will use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how much larger or smaller one is than the other.
• Accuracy: How close a measurement is to the true or accepted value
– Ex: Weighing a 50g mass– 50.00g – accurate– 32.18g or 49.99 not accurate
• Precision: How close multiple measurements are to each other
– Ex: Take the weight of a 50g mass– Accurate AND precise: 50.00g – Not accurate, precise: 32.18g
An easy way to remember…
ACcurate = CorrectPRecision = Reproducibility
Scientific Notation
• Short hand for writing very large or small numbers
• Two parts: Coefficient and Power of 10
A number between 1 and 10 (can include 1 but not 10).
Exponent:Large # = +
exponent Small # = -
exponent
Why do we use Scientific Notation?• Scientific notation is used to express a number
that is very large or very small.
What is always true of a number written in scientific notation?
1.The numbers are always multiplied by a power of 10 with an integer exponent.
2. The numbers are always written as decimals ≥ 1 & < 10.
Scientific Notation Examples:
Write the following numbers in scientific notation:1. 41,0002. 0.00293. 60,007,0004. 0.000 000 1325. 123,000,000
4.1x1042.9x10-
36.0007x107
1.32x10-7
1.23x108
Putting a number into scientific notation in the calculator:
1. Punch the number (digit number) into your calculator.
2. Push the EE or EXP button. DO NOT use the x (times) button!!!
3. Enter the exponent number. Use the +/- button to change its sign.
4. Treat this number normally in all subsequent calculations.
Calculator time!!
Try plugging these into your calculator. Put all answers in scientific notation.
*Instead of typing “x 10^,” use the “EE” or “EXP” button!*
37,000 x 7,0000.0008 x 0.0009(7x106) x (8x105)
2.59x108
5.6x1012
7.2 Homework:
Complete Notes Worksheet &
Problems