What Is Scientific Notation?
What does scientific notation help us do?
Write very large or very small numbers easily
Write 1,000 in scientific notation.
1×103
Write 3×102 in standard form.
300
The Earth’s radius is about 6,400 km. Write in scientific notation.
6.4×103
What is 61 equal to?
6
What is the form of scientific notation?
a×10n
Write 50,000 in scientific notation.
5×104
Write 5×103 in standard form.
5,000
A cell is 0.000008 meters long. Write in scientific notation.
8×10−6
What is a0 equal to (when a=0)
1
What must the number “a” be between?
A number bigger than 1 and less than 10
Write 0.01 in scientific notation.
1×10−2
Write 7.5×10−2 in standard form.
0.075
The population of a city is 3,200,000. Write in scientific notation.
3.2×106
Simplify a2×a3
a5
What does a negative exponent mean?
The number is less than 1
Write 0.0005 in scientific notation.
5×10−4
Write 9.1×104 in standard form.
91,000
A bacteria is 2×10−6 meters long. Write in standard form.
0.000002 m
Simplify a5÷a2
a3
What does a positive exponent mean?
The number is greater than 1
Write 120,000 in scientific notation.
1.2×105
Write 4.6×10−3 in standard form.
0.0046
The speed of light is 300,000,000 m/s. Write in scientific notation.
3×108
Simplify (a2)3
a6