Transcript Do you know your place?

Warm - Up
Evaluate each expression.
1. 123  1,000 123,000
2. 123  1,000 0.123
3. 0.003  100
0.3
4. 0.003  100
0.00003
5. 104 10,000
6. 10–4 0.0001
7. 230 1
Do you know your place?
123456.54321
1
10
Label the place value of each digit
The first one is done for you!
10000
100
1
100
1
1
10000
123456.54321
100000
1000
10
1
10
1
1
1000 100000
So what does this mean?
 If the exponent is positive, the base is used as a factor!
 Example 43 = 4∙4 ∙4 = 64
 If the exponent is negative, the base is used as a
divisor!
 Example :
1
6 
66
2
 Nanotechnology - nano- is a prefix that is
attached to a word to describe its size.
 Write this number on your paper.
3,000,000,000,000,000,000,000,000,000,000,000,000,000,000
 Double-check your answers. Are your numbers
correct? What difficulties did you run into while
transferring this number to your papers? If you were
doing an experiment and this number was part of
your data, would it pose a problem?
Scientific Notation
 Scientific Notation is a way of writing extremely large
and extremely small numbers without all of the zeros.
 a number expressed in scientific notation contains two
parts:
M
A  10
 A number ≥ 1 but < 10 ;
1  A  10
 A power of 10 that multiplies that number. This power of
10 represents the new location of the shifted decimal
point.
Converting
Large
Numbers
 to convert a large number to scientific notation.
Ex: 3,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Move the decimal place to the left until the numeric
value is between 1 and 10. This number is A in the
equation in step 3.
2. Count the number of places the decimal point was
moved. This is B is step 3.
3. Rewrite the number in the following equation: A x 10B
The scientific notation for the number on the board is: 3
x 1042.
1.
Converting
Very
Small
Numbers
 to convert very small numbers into scientific notation.
Ex: 0.00000000025.
1. Move the decimal place to the right until the numeric
value is between 1 and 10. This number is A in the
equation in step 3.
2. Count the number of places the decimal point was
moved. This is B is step 3. Note: B is always negative with
small numbers.
3. Rewrite the number in the following equation: A x 10-B
The scientific notation for the number is: 2.5 x 10-10.
You can also move the decimal point to find the
value of any number multiplied by a power of
10. You start with the number rather than
starting with 1.
Multiplying by Powers of 10