Transcript Scientific Notation

Bell Work
Define the following:
–Accuracy
–Precision
–Scientific Notation
3/23/15
Algebra 1
Chapter 7
Section 2
Scientific Notation
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 = Correct
PRecision = 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. 41,000
4.1x104
2. 0.0029
2.9x10-3
3. 60,007,000
6.0007x107
4. 0.000 000 132
1.32x10-7
5. 123,000,000
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 7,000
0.0008 x 0.0009
(7x106) x (8x105)
2.59x108
5.6x1012
7.2 Homework:
Complete Notes
Worksheet & Problems