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Scientific Notation
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Transcript of Scientific Notation
How to convert to Standard Notation (My Way)
How to convert to Scientific Notation
How to convert to Standard Notation (With Negative Exponents)
How to convert to scientific Notation (With Negative exponents)
Addition with Scientific Notation (With Positive and Negative Exponents
Scientific Notation
What is Scientific Notation?
Scientific Notation is a form of Math
that is used to express big numbers in a smaller form and small numbers in an easier way to remember. the first number has to be bigger than one but less than ten.
3.7*10
4
First look at the exponent
3.7*10
4
=
3_ _ _ _
Put the first number then add spaces
after it. To know how many spaces look at the exponent.
37000
Then add the number after the decimal to the space after the first number. Put 0s on the rest of the blank spaces
37,654=3.7654
First make the number less
than 1.
3.7654*10
4
Then put *10. After that count
how many numbers there are after the decimal.
3.5562*10
5
Move the decimal 5 places
to the left.
0.000035562
Add zeroes in the middle.
Tip: Add one number less of 0s of the exponent.
0.0000035
First move the
decimal place to make it
greater than one.
3.5*10
6
then count how many
places you moved it and put
is as a negative. Add the *10.
Positives
2.4*10
3
+
3.6*10
6
Negatives
2.7*10
9
+
5.2*10
7
2400+3,600,000
Convert to standard
form.
Add like you normally
would
3.6024*10
6
Convert back to scientific
notation
Convert to standard
form
0.0000000027
+0.00000052
Add them normally
5.227*10
7
Convert back to
scientific notation
Subtraction in Scientific Notation (Positive and Negative Exponents)
Positives
Negatives
5.3*10
4

2.8*10
5
Convert to standard
notation
53,000280,000
Subtract normally
2.27*10
5
Convert to
Scientific Notation
4.5*10
3

3.7*10
4
Convert to standard
notation
0.00450.00037
Subtract normally
4.13*10
3
Convert back to
scientific notation
Multiplication with Scientific Notation (Positive and Negative Exponents)
5.8*10
4
*
3.42*10
6
Convert to standard
notation
Positives
58,000*3,420,000
Multiply normally
19836*10
11
Convert it back to
scientific notation
Negatives
3.12*10
6
*
1.45*10
5
Convert to standard
notation
0.00000312*0.0000145
Multiply normally
4.524*10
11
Convert to scientific
notation
Division with Scientific Notation (Positive and Negative Exponents)
Positives
3.57*10
3
/
2.89*10
3
Convert to standard
form
3,570/2,890
Divide normally.
1.23529411765*10
11
Convert to scientific
notation
Negatives
4.4*10
6
/
5.8*10
3
Convert to standard
notation
0.0000044/0.0058
Divide normally
7.5862068*10
4
Convert to scientific
notation
Full transcriptHow to convert to Scientific Notation
How to convert to Standard Notation (With Negative Exponents)
How to convert to scientific Notation (With Negative exponents)
Addition with Scientific Notation (With Positive and Negative Exponents
Scientific Notation
What is Scientific Notation?
Scientific Notation is a form of Math
that is used to express big numbers in a smaller form and small numbers in an easier way to remember. the first number has to be bigger than one but less than ten.
3.7*10
4
First look at the exponent
3.7*10
4
=
3_ _ _ _
Put the first number then add spaces
after it. To know how many spaces look at the exponent.
37000
Then add the number after the decimal to the space after the first number. Put 0s on the rest of the blank spaces
37,654=3.7654
First make the number less
than 1.
3.7654*10
4
Then put *10. After that count
how many numbers there are after the decimal.
3.5562*10
5
Move the decimal 5 places
to the left.
0.000035562
Add zeroes in the middle.
Tip: Add one number less of 0s of the exponent.
0.0000035
First move the
decimal place to make it
greater than one.
3.5*10
6
then count how many
places you moved it and put
is as a negative. Add the *10.
Positives
2.4*10
3
+
3.6*10
6
Negatives
2.7*10
9
+
5.2*10
7
2400+3,600,000
Convert to standard
form.
Add like you normally
would
3.6024*10
6
Convert back to scientific
notation
Convert to standard
form
0.0000000027
+0.00000052
Add them normally
5.227*10
7
Convert back to
scientific notation
Subtraction in Scientific Notation (Positive and Negative Exponents)
Positives
Negatives
5.3*10
4

2.8*10
5
Convert to standard
notation
53,000280,000
Subtract normally
2.27*10
5
Convert to
Scientific Notation
4.5*10
3

3.7*10
4
Convert to standard
notation
0.00450.00037
Subtract normally
4.13*10
3
Convert back to
scientific notation
Multiplication with Scientific Notation (Positive and Negative Exponents)
5.8*10
4
*
3.42*10
6
Convert to standard
notation
Positives
58,000*3,420,000
Multiply normally
19836*10
11
Convert it back to
scientific notation
Negatives
3.12*10
6
*
1.45*10
5
Convert to standard
notation
0.00000312*0.0000145
Multiply normally
4.524*10
11
Convert to scientific
notation
Division with Scientific Notation (Positive and Negative Exponents)
Positives
3.57*10
3
/
2.89*10
3
Convert to standard
form
3,570/2,890
Divide normally.
1.23529411765*10
11
Convert to scientific
notation
Negatives
4.4*10
6
/
5.8*10
3
Convert to standard
notation
0.0000044/0.0058
Divide normally
7.5862068*10
4
Convert to scientific
notation