Transcript Writing standard numbers in Scientific Notation 35.075 This is a

Tuesday, October 5 (Blue)
Wednesday, October 6 (Gold)
•
Today’s Agenda
1. Fill in planner
1. Practice 4-9
2. Vocabulary Review
3. Ch. 4 Test Thursday
(Blue) or Friday (Gold)
2. Bell Work
10  10  10
6
3
3
10  10  10
5
3
2
10  10  10
3
5
8
10  10  10
7
9
16
• Note taking
worksheet 4-9
(Scientific Notation)
• Group Practice
• Independent work
Time
Multiplying and Dividing Exponents
Objective
• SWBAT
– write and evaluate numbers in scientific
notation
– calculate with scientific notation
• Why?
– To solve real world problems involving weight
and mass.
Vocabulary
a way to write numbers using powers of ten. You write
a number in scientific notation as the product of two
factors.
12
1
10
10
standard form
is a
Writing standard numbersThis
in
Scientific
Notation
number
written in
standard
form.
To write this in
scientific notation, the
decimal must be moved
one place to the left
35.075

3.5075
Since you moved the
decimal 1 place to the
left, we write the
number in scientific
notation:
3.5075 x
Exponent is
1 since we
moved the
decimal 1
place.
1
10
This is a
comma, not
a decimal
2,987●
3 2 1
To write in scientific notation, add a decimal to the end of the number:
Exponent is 3
because we
moved the
decimal 3
places
Move the decimal to the left:
2.987 x
3
10
To write a decimal number
in scientific notation, the
decimal needs to be
moved to the right two
places
0.0873

1 2
Move the decimal to the right:
008.73
8.73 x
When you move
the decimal to
the right, the
exponents are
negative!
-2
10
Drop any zeroes before the ones place in your number!
Examples
1
standard
10
6
6
6
6
Examples
1
10
4
-4
4
-4
Changing Scientific Notation to
4.687 x
1
2
468.7
Since the
exponent
is 2,
Standard
Form
move the decimal
2 places to the
right.
2
10
Drop the x 102
when writing in
standard form.
Since the
exponent is
negative, move
the decimal to the
left 4 spaces.
Add 0’s when
needed to
move the
decimal.
●
0 0 0 6.87 x
4
3 2
-4
10
1
Drop the
x 10-4
.000687
Examples
36,000
0.0072
(Science) Example
Commutative
10.1
-4
1
-3
add
-4
1
add
1.01 X 10-3
5.45 x 107
2.1 x 10-4
0.000000059
32,100,000
56.8 x 10-4
5.68 x 10-3
10.02 x 10-24
1.002 x 10-23
Objective
• SWBAT
– write and evaluate numbers in scientific
notation
– calculate with scientific notation
• Why?
– To solve real world problems involving weight
and mass.