BELL WORK
Find each value:
1.92 =
2.52 =
3.103 =
4.24 =
5.A 3-digit, non-repeating
number that is divisible by 4.
1-3 SCIENTIFIC NOTATION

Vocabulary:
Standard Form – 1,463,000,000
 Scientific Notation – 1.463 x 109
(Written as the product of two numbers)

POWERS OF 10
101
10
10
102
10 x 10
100
103
10 x 10 x 10
1,000
104
10 x 10 x 10 x 10
10,000
105
10 x 10 x 10 x 10 x 10
100,000
106
10 x 10 x 10 x 10 x 10 x 10
1,000,000
107
10 x 10 x 10 x 10 x 10 x 10 x 10
10,000,000
108
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
100,000,000
MULTIPLYING BY POWERS OF TEN
Method 1: Evaluate the power.
137 x 103
137 x (10 x 10 x 10)
137 x 1,000
137,000
 Method 2: Use mental math. (My Favorite!!!)
137 x 103
The positive 3 exponent tells you to
move the decimal 3 spaces to the
137.
right.
137,000

NEGATIVE EXPONENTS
If a positive exponent moves the decimal to the
right, what does a negative exponent do?
 It moves the decimal to the left!
 Just remember…

if the exponent is positive, the standard form
number will be very BIG, and
Ex. 2.37 x 105 = 237,000
if the exponent is negative, the standard form
number will be very small.
Ex. 2.37 x 10-5 = .0000237
SCIENTIFIC NOTATION

For a number to be written in scientific notation,
it must keep to the following rules:
The first number
must be a number
between 1 and 10.
8.2 x 103
It must be the product
of two numbers.
You must multiply
by a power of 10.
CHANGE FROM SCIENTIFIC NOTATION TO
STANDARD FORM

4.98 x 103 =
The exponent of 3 tells you to move the decimal 3 spaces to
the right.

7.0 x 105 =
The exponent of 5 tells you to move the decimal 5 spaces to
the right.

5.62 x 10-4 =
The exponent of -4 tells you to move the decimal 4 spaces to
the left.
BELL WORK
1)
Change to standard form: 3.089 x 106
2)
Change to standard form: 274 x 103
3)
Evaluate the expression:
4)
Write a 4-digit number that is divisible by both
2 and 9.
6+8÷2
CHANGE FROM STANDARD FORM TO
SCIENTIFIC NOTATION

589700000 =
(Remember: When moving the decimal point from
its original position, there should be only one
number to the left of the decimal’s new position.)

.0000405 =
Should the exponent by positive or negative?
Now Try These…
Change to Scientific Notation:
 589050000 =

.000934 =

276 =
Change to Standard Form:
 5.1 x 105 =

468 x 106 =