Scientific Notation Standard Form Worksheet
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11.6 Scientific Notation
A number is expressed in ________________________________, when it is written as the
________________ of a number between 1 and 10 and a ___________________ of 10.
Standard Form → Scientific Notation
Find a decimal point (or add one at the end if there is none).
Move the decimal point along the number to a new position,
Stop when only one non-zero digit left in front of the decimal point.
The # of moves is recorded as the _______________ of 10 .
? Is my number in standard form small or BIG number????
o If it was a decimal less than 1 (
), the
BIG #
o If it was a number greater than 10 (
small #
), the
exponent will be ____________________ .
exponent will be _________________
Example: 5,700,000
Example: 0.000072
Scientific Notation → Standard Form
Positive exponent: Multiply the number by a
Negative exponent: The result will be
power of 10; OR move the decimal point to the
____________________ .
right as many spaces as the __________________ .
Move the decimal point to the left as many spaces
Fill in the spaces at the end with ___________ .
as the __________________ . Fill in the spaces in
Remember: we want a BIG number!
front with _________ .
Example:
1.0305 ×
Example:
4.309 ×
Comparing Numbers in Scientific Notation:
DO NOT rewrite them in standard form!
1) FIRST compare the ________________. Greater exponent means greater number.
2) ONLY if the exponents are _______________, compare their decimals.
Compare
1. 6.23 ×
and 8.912 ×
3. 3.28 ×
and 4.25 ×
2. 5.15 ×
or 6.35 ×
Order the real numbers from least to greatest
, √
a) 2.81 ×
; 2.01 ×
; 2.72 ×
; 9.45 ×
b) 135%, 13.5,
, 3.9 ×
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