SCIENTIFIC NOTATION
Scientific notation refers to expressing a number as a product of any number between 1 and 10
to the 10th power. Scientific notation is mostly used when dealing with large quantities or
numbers containing many digits since it shortens the notation.
Examples: Original number
→
Scientific Notation
76300
→
4
1063.7 ×
2,560,000
→
6
1056.2 ×
0.000066
→
5
106.6
−
×
0.005
→
3
105
−
×
To write a number in scientific notation:
If the number is in decimal notation, move the decimal point to the right of its original position
and place it after the first non-zero digit. The exponent of 10 will be the number of places the
original decimal point was moved, and it will be negative since it was moved to the right.
Examples:
0000643.0
→
5
1043.6
−
×
If the number to be changed to scientific notation is a whole number greater than 10, move the
decimal point to the left of its original position and place it after the first digit. The exponent of
10 will be the number of places the original decimal point was moved, and it will be positive
since it was moved to the left.
Examples: 125,000
→
5
1025.1 ×
