A × 10n where
and n is an integer.
Example:
2 350 000 = 2.35 × 106
0.000 875 4 = 8.754 × 10–4
To convert a number into scientific notation:
Method 1
Rewrite the number as a product of a number A such that
and a power of 10.
Example:
64 000 = 6.4 × 10 000
= 6.4 × 104

Method 2
Step 1 : Shift the decimal point of the number A to the left or to the right until ![]()
Step 2 : Count the number of places that the decimal point has moved. The count would be the index n. If the decimal point was moved to the left then n is positive. If the decimal point was moved to the right then n is negative.
Example:

Example:
Write each of the following numbers in scientific notation:
a) 734 000 b) 0.00685
Solution:
a) 734 000 = 7.34 × 10 000 = 7.34 × 10 5
or

b) 0.00685 = 6.85 ×
= 6.85 × 10 -3
or

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